428438813748400
428,438,813,748,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428438813748400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1620 divisors.
428438813748400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 428438813748400:
24 × 52 × 7 × 13 × 232 × 532 × 892
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 23 × 23 × 53 × 53 × 89 × 89)See below for interesting mathematical facts about the number 428438813748400 from the Numbermatics database.
Names of 428438813748400
- Cardinal: 428438813748400 can be written as Four hundred twenty-eight trillion, four hundred thirty-eight billion, eight hundred thirteen million, seven hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.284388137484 × 1014
Factors of 428438813748400
Divisors of 428438813748400
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 25 26 28 35 40 46 50 52 53 56 65 70 80 89 91 92 100 104 106 112 115 130 140 161 175 178 182 184 200 208 212 230 260 265 280 299 322 325 350 356 364 368 371 400 424 445 455 460 520 529 530 560 575 598 623 644 650 689 700 712 728 742 805 848 890 910 920 1040 1058 1060 1150 1157 1196 1219 1246 1288 1300 1325 1378 1400 1424 1456 1484 1495 1610 1780 1820 1840 1855 2047 2093 2116 2120 2225 2275 2300 2314 2392 2438 2492 2576 2600 2645 2650 2756 2800 2809 2968 2990 3115 3220 3445 3560 3640 3703 3710 4025 4094 4186 4232 4240 4450 4550 4600 4628 4717 4784 4823 4876 4984 5200 5290 5300 5512 5618 5785 5936 5980 6095 6230 6440 6877 6890 7120 7280 7406 7420 7475 7921 8050 8099 8188 8372 8464 8533 8900 9100 9200 9256 9275 9434 9646 9752 9968 10235 10465 10580 10600 11024 11236 11570 11960 12190 12460 12880 13225 13754 13780 14045 14329 14812 14840 14950 15575 15842 15847 16100 16198 16376 16744 17066 17225 17800 18200 18512 18515 18550 18868 19292 19504 19663 20470 20930 21160 21200 22472 23140 23585 23920 24115 24380 24920 26450 26611 27508 27560 28037 28090 28658 28925 29624 29680 29900 30475 31150 31684 31694 32200 32396 32752 33019 33488 34132 34385 34450 35600 36400 36517 37030 37100 37736 38584 39326 39605 40495 40940 41860 42320 42665 44944 46280 47081 47170 48139 48230 48760 49840 51175 52325 52900 53222 55016 55120 55447 56074 56180 57316 57850 59248 59800 60950 61321 62300 63368 63388 64400 64607 64792 66038 68264 68770 68900 70225 71645 73034 74060 74200 75472 77168 78652 79210 79235 80990 81880 83720 85330 92560 92575 94162 94340 96278 96460 97520 98315 102350 102973 104650 105800 106444 108491 110032 110894 110929 112148 112360 114632 115700 117925 119600 120575 121900 122642 124600 126736 126776 129214 129584 132076 133055 136528 137540 137800 140185 140450 143290 146068 148120 148400 157304 158420 158470 161980 163760 165095 167440 170660 171925 182183 182585 185150 186277 188324 188680 192556 192920 196259 196630 198025 202475 204700 205946 209300 211600 212888 213325 216982 221788 221858 224296 224720 229264 231400 235405 235850 240695 241150 243800 245284 249200 250001 253552 255619 258428 264152 266110 275080 275600 277235 280370 280900 286580 292136 296240 306605 314608 316840 316940 323035 323960 329567 330190 341320 343850 358225 364366 364481 365170 370300 372554 376648 377360 385112 385840 392518 393260 396050 396175 404950 409400 411892 418600 419813 425776 426650 429247 433964 443576 443716 448592 452249 462800 470810 471700 481390 482300 487600 490568 491575 500002 511238 514865 516856 528304 532220 542455 550160 554470 554645 560740 561800 573160 584272 612053 613210 633680 633880 646070 647920 659134 660380 665275 682640 687700 700925 716450 720811 728732 728962 730340 740600 745108 753296 759437 770224 785036 786520 792100 792350 809900 818800 823784 825475 837200 839626 839891 853300 858494 867928 887152 887432 904498 910915 912925 931385 941620 943400 962780 964600 981136 981295 983150 1000004 1022476 1029730 1033712 1064440 1084910 1108940 1109290 1121480 1123600 1146320 1177025 1203475 1224106 1226420 1250005 1267760 1275281 1278095 1292140 1318268 1320760 1330550 1375400 1386175 1401850 1410383 1432900 1441622 1457464 1457924 1460680 1481200 1485961 1490216 1518874 1533025 1570072 1573040 1584200 1584700 1615175 1619800 1647568 1647835 1650950 1679252 1679782 1706600 1716988 1735856 1750007 1774864 1808996 1821830 1822405 1825850 1862770 1883240 1886800 1925560 1929200 1962590 1966300 2000008 2044952 2059460 2099065 2128880 2146235 2169820 2217880 2218580 2242960 2261245 2354050 2368379 2406950 2448212 2452840 2495293 2500010 2550562 2551367 2556190 2574325 2584280 2636536 2641520 2661100 2712275 2750800 2772350 2773225 2803700 2820766 2865800 2883244 2914928 2915848 2921360 2938691 2971922 2980432 3037748 3060265 3066050 3140144 3168400 3169400 3230350 3239600 3250013 3295670 3301900 3358504 3359564 3413200 3433976 3500014 3604055 3617992 3643660 3644810 3651700 3725540 3766480 3797185 3851120 3925180 3932600 4000016 4089904 4118920 4190209 4198130 4199455 4284371 4292470 4339640 4435760 4437160 4522490 4554575 4656925 4708100 4736758 4813900 4896424 4905680 4906475 4990586 5000020 5101124 5102734 5112380 5148650 5168560 5273072 5322200 5424550 5457569 5544700 5546450 5607400 5641532 5731600 5750023 5766488 5831696 5877382 5879237 5943844 6075496 6120530 6132100 6250025 6338800 6376405 6390475 6460700 6500026 6591340 6603800 6717008 6719128 6867952 7000028 7051915 7208110 7235984 7287320 7289620 7303400 7429805 7451080 7594370 7850360 7865200 8237840 8239175 8380418 8396260 8398910 8568742 8584940 8679280 8750035 8874320 9044980 9109150 9112025 9313850 9416200 9473516 9627800 9655699 9792848 9812950 9872681 9981172 10000040 10202248 10205468 10224760 10297300 10401727 10495325 10644400 10731175 10849100 10915138 11089400 11092900 11214800 11283064 11306225 11500046 11532976 11754764 11758474 11841895 11887688 12150992 12241060 12264200 12476465 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303774800 305623864 309079888 311501246 322001288 324388090 325001300 331573060 335216720 335956400 337949465 342749680 349341020 350001400 356001424 364001456 373751495 381309019 382029830 386227960 386349860 394907240 402501610 414466325 416069080 419020900 428437100 435781736 436605520 436676275 444162154 445001780 454143326 455001820 460001840 469303408 470338960 473675800 482784950 482937325 493634050 499058600 502096348 510112400 510273400 511752047 519020944 520086350 523252093 529002116 540719144 540889804 544727170 545756900 556252225 564153200 568752275 575002300 578502314 586629260 587738200 587923700 594384400 598002392 611247728 623002492 627620435 644002576 648776180 650002600 661252645 663146120 675898930 676112255 698682040 700002800 733286575 747502990 762618038 764059660 772455920 772699720 778753115 789814480 805003220 810970225 828932650 832138160 838041800 856874200 871563472 873352550 878668609 888324308 890003560 908286652 910003640 925753703 947351600 955074575 965569900 965874650 987268100 998117200 1004192696 1006254025 1020546800 1023504094 1040172700 1046504186 1058004232 1081438288 1081779608 1089454340 1091513800 1110405385 1112504450 1135358315 1137504550 1150004600 1157004628 1173258520 1175476400 1175847400 1196004784 1246004984 1255240870 1297552360 1300005200 1322505290 1326292240 1351797860 1352224510 1361817925 1397364080 1446255785 1466573150 1495005980 1525236076 1528119320 1545399440 1554567539 1557506230 1610006440 1621940450 1657865300 1676083600 1689747325 1713748400 1719256877 1746705100 1757337218 1776648616 1780007120 1816573304 1820007280 1851507406 1868757475 1906545095 1910149150 1931139800 1931749300 1974536200 2008385392 2012508050 2024758099 2047008188 2080345400 2093008372 2116008464 2163559216 2178908680 2183027600 2220810770 2225008900 2270716630 2275009100 2300009200 2314009256 2346517040 2351694800 2492009968 2510481740 2558760235 2595104720 2616260465 2645010580 2703595720 2704449020 2723635850 2887054001 2892511570 2933146300 2990011960 3050472152 3056238640 3109135078 3115012460 3138102175 3220012880 3243880900 3306263225 3315730600 3379494650 3380561275 3438513754 3493410200 3514674436 3553297232 3582264329 3633146608 3703014812 3737514950 3813090190 3820298300 3862279600 3863498600 3893765575 3949072400 4025016100 4049516198 4094016376 4160690800 4186016744 4357817360 4393343045 4441621540 4450017800 4541433260 4550018200 4628018512 4628768515 5020963480 5117520470 5232520930 5290021160 5407191440 5408898040 5447271700 5552026925 5676791575 5774108002 5785023140 5866292600 5980023920 6100944304 6218270156 6230024920 6276204350 6487761800 6612526450 6631461200 6652776611 6758989300 6761122550 6877027508 6986820400 7029348872 7164528658 7231278925 7406029624 7475029900 7626180380 7640596600 7726997200 7772837695 7787531150 8050032200 8099032396 8188032752 8372033488 8596284385 8786686090 8883243080 8900035600 9082866520 9100036400 9257537030 9532725475 10041926960 10123790495 10235040940 10465041860 10580042320 10817796080 10894543400 11104053850 11353583150 11548216004 11570046280 11732585200 11770297081 12034798139 12436540312 12460049840 12552408700 12793801175 12975523600 13081302325 13225052900 13305553222 13517978600 13522245100 13754055016 14058697744 14329057316 14435270005 14462557850 14812059248 14950059800 15252360760 15281193200 15545675390 15575062300 16100064400 16198064792 17192568770 17573372180 17766486160 17911321645 18165733040 18515074060 19065450950 20209378007 20247580990 20470081880 20930083720 21789086800 21966715225 22208107700 22707166300 23096432008 23140092560 23143842575 23540594162 24069596278 24873080624 25104817400 25587602350 26162604650 26450105800 26611106444 27035957200 27044490200 27508110032 28658114632 28870540010 28925115700 29900119600 30504721520 31091350780 31150124600 32396129584 33263883055 34385137540 35146744360 35822643290 37030148120 38130901900 38864188475 40418756014 40495161980 40940163760 41860167440 42981421925 43933430450 44416215400 45414332600 46192864016 46287685150 46569436277 47081188324 48139192556 50209634800 50618952475 51175204700 52325209300 52900211600 53222212888 54088980400 57316229264 57741080020 57850231400 58851485405 60173990695 62182701560 62300249200 66527766110 68770275080 70293488720 71645286580 72176350025 74060296240 76261803800 77728376950 80837512028 80990323960 82392079567 85962843850 87866860900 88832430800 89556608225 90828665200 92575370300 93138872554 94162376648 96278385112 101046890035 101237904950 102350409400 104650418600 106444425776 115482160040 115700462800 117702970810 120347981390 124365403120 133055532220 137540550160 143290573160 144352700050 152523607600 153013862053 155456753900 161675024056 161980647920 164784159134 166319415275 171925687700 175733721800 179113216450 185150740600 186277745108 188324753296 192556770224 202093780070 202475809900 204700818800 209300837200 230964320080 232847181385 235405941620 240695962780 266111064440 286581146320 288705400100 294257427025 300869953475 306027724106 310913507800 323350048112 329568318268 332638830550 343851375400 351467443600 358226432900 370301481200 372555490216 404187560140 404951619800 411960397835 465694362770 470811883240 481391925560 505234450175 532222128880 577410800200 588514854050 601739906950 612055448212 621827015600 659136636536 665277661100 687702750800 716452865800 745110980432 765069310265 808375120280 809903239600 823920795670 931388725540 941623766480 962783851120 1010468900350 1071097034371 1154821600400 1164235906925 1177029708100 1203479813900 1224110896424 1318273273072 1330555322200 1432905731600 1530138620530 1616750240560 1647841591340 1862777451080 2020937800700 2059801989175 2142194068742 2328471813850 2354059416200 2406959627800 2448221792848 2661110644400 3060277241060 3295683182680 3725554902160 3825346551325 4041875601400 4119603978350 4284388137484 4656943627700 4708118832400 4813919255600 5355485171855 6120554482120 6591366365360 7650693102650 8083751202800 8239207956700 8568776274968 9313887255400 10710970343710 12241108964240 15301386205300 16478415913400 17137552549936 18627774510800 21421940687420 26777425859275 30602772410600 32956831826800 42843881374840 53554851718550 61205544821200 85687762749680 107109703437100 214219406874200 428438813748400
- Sum of all divisors σ(n): 1365131919364528
- Sum of proper divisors (its aliquot sum) s(n): 936693105616128
- 428438813748400 is an abundant number, because the sum of its proper divisors (936693105616128) is greater than itself. Its abundance is 508254291867728
Bases of 428438813748400
- Binary: 11000010110101001101011110100110100101100101100002
- Hexadecimal: 0x185A9AF4D2CB0
- Base-36: 47VA2NQRHS
Squares and roots of 428438813748400
- 428438813748400 squared (4284388137484002) is 183559817126136184858502560000
- 428438813748400 cubed (4284388137484003) is 78644150301395025454325730511964595904000000
-
The
square root of 428438813748400 is 20698763.5801851701 -
The
cube root of 428438813748400 is 75386.9667301593
Scales and comparisons
How big is 428438813748400?- 428,438,813,748,400 seconds is equal to 13,623,029 years, 1 week, 3 days, 12 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,438,813,748,400 would take you about thirty-four million, fifty-seven thousand, five hundred seventy-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 428438813748400 cubic inches would be around 6282.2 feet tall.
Recreational maths with 428438813748400
- 428438813748400 backwards is 004847318834824
- The number of decimal digits it has is: 15
- The sum of 428438813748400's digits is 64
- More coming soon!
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"Number 428438813748400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 428438813748400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/428438813748400/
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The information we have on file for 428438813748400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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