428929525144120
428,929,525,144,120 is an even composite number composed of nine prime numbers multiplied together.
428929525144120 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 428929525144120:
23 × 5 × 7 × 11 × 132 × 19 × 37 × 257 × 4561
(2 × 2 × 2 × 5 × 7 × 11 × 13 × 13 × 19 × 37 × 257 × 4561)See below for interesting mathematical facts about the number 428929525144120 from the Numbermatics database.
Names of 428929525144120
- Cardinal: 428929525144120 can be written as Four hundred twenty-eight trillion, nine hundred twenty-nine billion, five hundred twenty-five million, one hundred forty-four thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2892952514412 × 1014
Factors of 428929525144120
Divisors of 428929525144120
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 19 20 22 26 28 35 37 38 40 44 52 55 56 65 70 74 76 77 88 91 95 104 110 130 133 140 143 148 152 154 169 182 185 190 209 220 247 257 259 260 266 280 286 296 308 338 364 370 380 385 407 418 440 455 481 494 514 518 520 532 572 616 665 676 703 715 728 740 760 770 814 836 845 910 962 988 1001 1028 1036 1045 1064 1144 1183 1235 1285 1295 1330 1352 1406 1430 1463 1480 1540 1628 1672 1690 1729 1799 1820 1859 1924 1976 2002 2035 2056 2072 2090 2366 2405 2470 2570 2590 2660 2717 2812 2827 2849 2860 2926 3080 3211 3256 3341 3367 3380 3458 3515 3598 3640 3718 3848 4004 4070 4180 4561 4732 4810 4883 4921 4940 5005 5140 5180 5291 5320 5434 5624 5654 5698 5720 5852 5915 6253 6422 6682 6734 6760 6916 7030 7196 7315 7436 7733 8008 8140 8360 8645 8995 9122 9139 9295 9464 9509 9620 9766 9842 9880 10010 10280 10360 10582 10868 11308 11396 11704 11830 12506 12844 13013 13364 13468 13585 13832 14060 14135 14245 14392 14630 14872 15466 16055 16280 16705 16835 17290 17990 18244 18278 18590 19018 19019 19240 19532 19684 19789 20020 21164 21736 22477 22616 22792 22805 23387 23660 24415 24605 25012 25688 26026 26455 26728 26936 27170 28120 28270 28490 29260 30932 31265 31927 32110 33410 33670 34181 34580 35321 35980 36488 36556 36751 37037 37180 38036 38038 38665 39064 39368 39578 40040 42328 43433 43771 44954 45610 45695 46774 47320 47545 48830 49210 50024 50171 52052 52910 53713 54131 54340 56540 56980 58520 59293 61864 62530 63479 63854 63973 64220 65065 66563 66820 67340 68362 68783 69160 70642 71960 73112 73502 74074 74360 76072 76076 77330 79156 86659 86866 87542 89908 91220 91390 93548 95090 95095 97660 98420 98945 100342 100529 104104 104599 105820 107426 108262 108680 112385 113080 113960 116935 118586 118807 123617 125060 126958 127708 127946 128440 130130 133126 133640 134680 136724 137566 141284 147004 148148 152152 154660 158312 159635 168757 170905 173318 173732 175084 176605 179816 180671 182440 182780 183755 185185 187096 190180 190190 195320 196840 197890 200684 201058 209198 211640 214852 216524 217165 218855 224770 233870 237172 237614 247234 247247 250120 250855 253916 255416 255892 257257 260260 266252 268565 270655 273448 275132 282568 294008 296296 296465 304031 309320 317395 319270 319865 332815 337514 341810 343915 346636 347464 350168 351197 353210 361342 365560 367510 370370 375991 380360 380380 395780 401368 402116 415051 418396 429704 433048 433295 434330 437710 444353 449540 467740 474344 475228 477763 481481 494468 494494 501710 502645 507832 511784 514514 520520 522995 532504 537130 541310 550264 592930 594035 606613 608062 618085 634790 638540 639730 652223 665630 675028 683620 687830 693272 698269 702394 703703 706420 722684 732193 735020 740740 751982 760760 770809 791560 804232 825227 830102 831649 836792 843785 865319 866590 868660 875420 888706 899080 903355 935480 950456 953249 955526 962962 988936 988988 1003420 1005290 1029028 1045990 1074260 1082620 1126567 1172177 1181299 1185860 1188070 1213226 1216124 1236170 1236235 1264697 1269580 1277080 1279460 1286285 1304446 1306877 1331260 1350056 1359787 1367240 1375660 1396538 1404788 1407406 1412840 1445368 1464386 1470040 1481480 1503964 1520155 1541618 1607021 1650454 1660204 1663298 1687570 1730638 1733180 1737320 1750840 1755985 1777412 1806710 1856327 1879955 1906498 1911052 1925924 1977976 1987381 2006840 2010580 2058056 2075255 2091980 2148520 2165240 2193841 2221765 2253134 2344354 2348723 2362598 2371720 2376140 2388815 2407405 2426452 2432248 2472340 2472470 2529394 2539160 2558920 2572570 2608892 2613754 2662520 2719574 2751320 2793076 2809576 2814812 2928772 3007928 3033065 3040310 3083236 3206383 3214042 3261115 3300908 3320408 3326596 3344341 3375140 3461276 3466360 3491345 3511970 3518515 3554824 3613420 3660965 3712654 3759910 3812996 3822104 3851848 3854045 3974762 4021160 4126135 4150510 4158245 4183960 4326595 4387682 4443530 4506268 4565561 4688708 4697446 4725196 4752280 4766245 4777630 4814810 4852904 4887883 4944680 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9021548536 9064444741 9170255380 9386793416 9404286892 9541520780 9799399720 9875659640 10133470165 10712525603 10837574540 10895385215 10980174205 11093483128 11276342740 11276935670 11536566034 11581108760 11671234120 11733491770 11755358615 11921331994 12143753720 12403977014 12548770520 12739219636 12838357532 13358129092 13434695560 13719159608 13866853910 14659245562 15055441388 15172604356 15253539301 15786879836 15924024545 16047946915 16213552264 16480808620 16697661365 17148949510 17432616344 17568278728 18128889482 18340510760 18808573784 18819301735 18965755445 19083041560 19733599795 20266940330 21425051206 21675149080 21790770430 21960348410 22293634363 22552685480 22553871340 23073132068 23466983540 23510717230 23842663988 24807954028 25478439272 25676715064 26347022429 26716258184 27733707820 28841415085 29318491124 29803329985 30110882776 30345208712 30507078602 31009942535 31573759672 31848049090 32095893830 32961617240 33395322730 34297899020 36257778964 36648113905 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210776179432 214250512060 217069597745 222936343630 230731320680 235675563266 238426639880 248079540280 253804452748 256536797335 263470224290 278525665678 289817246719 293184911240 299950716884 305070786020 317255565935 322503402364 331219710536 333797295832 347311356392 362577789640 374938396105 403129252955 410458875736 414024638170 417246619790 428501024120 434139195490 445872687260 471351126532 507608905496 513073594670 526940448580 557051331356 564380954137 579634493438 589188908165 599901433768 610141572040 634511131870 645006804728 696314164195 749876792210 806258505910 824864471431 828049276340 834493239580 868278390980 891745374520 942702253064 974839829873 1026147189340 1053880897160 1114102662712 1128761908274 1159268986876 1178377816330 1269022263740 1392628328390 1449086233595 1499753584420 1531891161229 1612517011820 1649728942862 1656098552680 1668986479160 1736556781960 1949679659746 2052294378680 2257523816548 2318537973752 2356755632660 2538044527480 2785256656780 2821904770685 2898172467190 2999507168840 3063782322458 3225034023640 3299457885724 3899359319492 4124322357155 4515047633096 4713511265320 4874199149365 5570513313560 5643809541370 5796344934380 6127564644916 6598915771448 7659455806145 7798718638984 8248644714310 9748398298730 10723238128603 11287619082740 11592689868760 12255129289832 15318911612290 16497289428620 19496796597460 21446476257206 22575238165480 30637823224580 32994578857240 38993593194920 42892952514412 53616190643015 61275646449160 85785905028824 107232381286030 214464762572060 428929525144120
- Sum of all divisors σ(n): 1414338655795200
- Sum of proper divisors (its aliquot sum) s(n): 985409130651080
- 428929525144120 is an abundant number, because the sum of its proper divisors (985409130651080) is greater than itself. Its abundance is 556479605506960
Bases of 428929525144120
- Binary: 11000011000011011111011111111101011011010001110002
- Hexadecimal: 0x1861BEFFADA38
- Base-36: 481JI4MZP4
Squares and roots of 428929525144120
- 428929525144120 squared (4289295251441202) is 183980537540360271306770574400
- 428929525144120 cubed (4289295251441203) is 78914684602946674570800954062100935182528000
-
The
square root of 428929525144120 is 20710613.8282794505 -
The
cube root of 428929525144120 is 75415.7371777171
Scales and comparisons
How big is 428929525144120?- 428,929,525,144,120 seconds is equal to 13,638,632 years, 6 weeks, 6 days, 13 hours, 48 minutes, 40 seconds.
-
To count from 1 to 428,929,525,144,120 would take you about thirty-four million, ninety-six thousand, five hundred eighty 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 428929525144120 cubic inches would be around 6284.6 feet tall.
Recreational maths with 428929525144120
- 428929525144120 backwards is 021441525929824
- The number of decimal digits it has is: 15
- The sum of 428929525144120's digits is 58
- More coming soon!
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"Number 428929525144120 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 428929525144120 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/428929525144120/
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The information we have on file for 428929525144120 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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