13164360440400
13,164,360,440,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13164360440400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
13164360440400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13164360440400:
24 × 311 × 52 × 13 × 31 × 461
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 31 × 461)See below for interesting mathematical facts about the number 13164360440400 from the Numbermatics database.
Names of 13164360440400
- Cardinal: 13164360440400 can be written as Thirteen trillion, one hundred sixty-four billion, three hundred sixty million, four hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 1.31643604404 × 1013
Factors of 13164360440400
Divisors of 13164360440400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 36 39 40 45 48 50 52 54 60 62 65 72 75 78 80 81 90 93 100 104 108 117 120 124 130 135 144 150 155 156 162 180 186 195 200 208 216 225 234 240 243 248 260 270 279 300 310 312 324 325 351 360 372 390 400 403 405 432 450 461 465 468 486 496 520 540 558 585 600 620 624 648 650 675 702 720 729 744 775 780 806 810 837 900 922 930 936 972 975 1040 1053 1080 1116 1170 1200 1209 1215 1240 1296 1300 1350 1383 1395 1404 1458 1488 1550 1560 1612 1620 1674 1755 1800 1844 1860 1872 1944 1950 2015 2025 2106 2160 2187 2232 2305 2325 2340 2418 2430 2480 2511 2600 2700 2766 2790 2808 2916 2925 3100 3120 3159 3224 3240 3348 3510 3600 3627 3645 3688 3720 3888 3900 4030 4050 4149 4185 4212 4374 4464 4610 4650 4680 4836 4860 5022 5200 5265 5400 5532 5580 5616 5832 5850 5993 6045 6075 6200 6318 6448 6480 6561 6696 6915 6975 7020 7254 7290 7376 7440 7533 7800 8060 8100 8298 8370 8424 8748 8775 9220 9300 9360 9477 9672 9720 10044 10075 10530 10800 10881 10935 11064 11160 11525 11664 11700 11986 12090 12150 12400 12447 12555 12636 13122 13392 13830 13950 14040 14291 14508 14580 15066 15600 15795 16120 16200 16596 16740 16848 17496 17550 17979 18135 18225 18440 18600 18954 19344 19440 19683 20088 20150 20745 20925 21060 21762 21870 22128 22320 22599 23050 23400 23972 24180 24300 24894 25110 25272 26244 26325 27660 27900 28080 28431 28582 29016 29160 29965 30132 30225 31590 32240 32400 32643 32805 33192 33480 34575 34992 35100 35958 36270 36450 36880 37200 37341 37665 37908 39366 40176 40300 41490 41850 42120 42873 43524 43740 45198 46100 46800 47385 47944 48360 48600 49788 50220 50544 52488 52650 53937 54405 54675 55320 55800 56862 57164 58032 58320 59049 59930 60264 60450 62235 62775 63180 65286 65610 66384 66960 67797 69150 70200 71455 71916 72540 72900 74682 75330 75816 78732 78975 80600 82980 83700 84240 85293 85746 87048 87480 89895 90396 90675 92200 94770 95888 96720 97200 97929 98415 99576 100440 103725 104976 105300 107874 108810 109350 110640 111600 112023 112995 113724 114328 118098 119860 120528 120900 124470 125550 126360 128619 130572 131220 135594 138300 140400 142155 142910 143832 145080 145800 149364 149825 150660 151632 157464 157950 161200 161811 163215 164025 165960 167400 170586 171492 174096 174960 177147 179790 180792 181350 184400 185783 186705 188325 189540 195858 196830 199152 200880 203391 207450 210600 214365 215748 217620 218700 224046 225990 227448 228656 236196 236925 239720 241800 248940 251100 252720 255879 257238 261144 262440 269685 271188 272025 276600 284310 285820 287664 290160 291600 293787 295245 298728 299650 301320 311175 314928 315900 323622 326430 328050 331920 334800 336069 338985 341172 342984 354294 357275 359580 361584 362700 371566 373410 376650 379080 385857 391716 393660 406782 414900 421200 426465 428730 431496 435240 437400 448092 449475 451980 454896 472392 473850 479440 483600 485433 489645 492075 497880 502200 511758 514476 522288 524880 539370 542376 544050 553200 557349 560115 564975 568620 571640 587574 590490 597456 599300 602640 610173 622350 631800 643095 647244 652860 656100 672138 677970 682344 685968 708588 710775 714550 719160 725400 743132 746820 753300 758160 767637 771714 783432 787320 809055 813564 816075 829800 852930 857460 862992 870480 874800 881361 885735 896184 898950 903960 928915 933525 944784 947700 970866 979290 984150 995760 1004400 1008207 1016955 1023516 1028952 1071825 1078740 1084752 1088100 1114698 1120230 1129950 1137240 1143280 1157571 1175148 1180980 1198600 1220346 1244700 1263600 1279395 1286190 1294488 1305720 1312200 1344276 1348425 1355940 1364688 1417176 1421550 1429100 1438320 1450800 1456299 1468935 1476225 1486264 1493640 1506600 1535274 1543428 1566864 1574640 1618110 1627128 1632150 1659600 1672047 1680345 1694925 1705860 1714920 1762722 1771470 1792368 1797900 1807920 1830519 1857830 1867050 1895400 1929285 1941732 1958580 1968300 2016414 2033910 2047032 2057904 2132325 2143650 2157480 2176200 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326659068 327667275 334409400 347271300 349511760 352544400 353880657 356951205 361162152 362954520 366103800 375053004 376210575 380747952 393200730 396612450 401291280 403282800 406307421 408323835 416725560 435545424 436889700 439324560 451452690 453693150 460582200 463028400 468816255 471840876 475934940 500070672 501614100 520906950 524267640 528816600 541743228 544431780 549155700 562579506 571121928 582519600 589801095 594918675 601936920 604924200 625088340 629121168 634579920 653318136 655334550 668818800 677179035 680539725 694542600 707761314 713902410 722324304 725909040 732207600 750106008 752421150 781360425 786401460 793224900 812614842 816647670 833451120 843869259 873779400 902905380 907386300 921164400 937632510 943681752 951869880 983001825 1003228200 1041813900 1048535280 1057633200 1061641971 1083486456 1088863560 1098311400 1125159012 1128631725 1142243856 1179602190 1189837350 1203873840 1209848400 1218922263 1250176680 1306636272 1310669100 1354358070 1361079450 1389085200 1406448765 1415522628 1427804820 1500212016 1504842300 1562720850 1572802920 1586449800 1625229684 1633295340 1687738518 1747558800 1769403285 1784756025 1805810760 1814772600 1875265020 1887363504 1903739760 1966003650 2006456400 2031537105 2041619175 2083627800 2123283942 2166972912 2177727120 2196622800 2250318024 2257263450 2344081275 2359204380 2379674700 2437844526 2500353360 2531607777 2621338200 2708716140 2722158900 2812897530 2831045256 2855609640 2949005475 3009684600 3125441700 3145605840 3172899600 3250459368 3266590680 3375477036 3385895175 3538806570 3569512050 3611621520 3629545200 3656766789 3750530040 3932007300 4063074210 4083238350 4167255600 4219346295 4246567884 4500636048 4514526900 4688162550 4718408760 4759349400 4875689052 5063215554 5242676400 5308209855 5417432280 5444317800 5625795060 5662090512 5711219280 5898010950 6019369200 6094611315 6250883400 6500918736 6533181360 6750954072 6771790350 7032243825 7077613140 7139024100 7313533578 7501060080 7864014600 8126148420 8166476700 8438692590 8493135768 8847016425 9029053800 9376325100 9436817520 9518698800 9751378104 10126431108 10157685525 10616419710 10834864560 10888635600 10970300367 11251590120 11796021900 12189222630 12501766800 12658038885 13501908144 13543580700 14064487650 14155226280 14278048200 14627067156 15728029200 16252296840 16332953400 16877385180 16986271536 17694032850 18058107600 18283833945 18752650200 19502756208 20252862216 20315371050 21096731475 21232839420 21940600734 22503180240 23592043800 24378445260 25316077770 26541049275 27087161400 28128975300 28310452560 28556096400 29254134312 30473056575 32504593680 32665906800 32910901101 33754770360 35388065700 36567667890 37505300400 40505724432 40630742100 42193462950 42465678840 43881201468 47184087600 48756890520 50632155540 53082098550 54174322800 54851501835 56257950600 58508268624 60946113150 63290194425 65821802202 67509540720 70776131400 73135335780 81261484200 84386925900 84931357680 87762402936 91419169725 97513781040 101264311080 106164197100 109703003670 112515901200 121892226300 126580388850 131643604404 141552262800 146270671560 162522968400 164554505505 168773851800 175524805872 182838339450 202528622160 212328394200 219406007340 243784452600 253160777700 263287208808 274257509175 292541343120 329109011010 337547703600 365676678900 424656788400 438812014680 487568905200 506321555400 526574417616 548515018350 658218022020 731353357800 822772527525 877624029360 1012643110800 1097030036700 1316436044040 1462706715600 1645545055050 2194060073400 2632872088080 3291090110100 4388120146800 6582180220200 13164360440400
- Sum of all divisors σ(n): 52852753873920
- Sum of proper divisors (its aliquot sum) s(n): 39688393433520
- 13164360440400 is an abundant number, because the sum of its proper divisors (39688393433520) is greater than itself. Its abundance is 26524032993120
Bases of 13164360440400
- Binary: 101111111001000100010000011100011010010100002
- Hexadecimal: 0xBF911071A50
- Base-36: 4NZMGB900
Squares and roots of 13164360440400
- 13164360440400 squared (131643604404002) is 173300385804768481952160000
- 13164360440400 cubed (131643604404003) is 2281388743194351921491776469331264000000
-
The
square root of 13164360440400 is 3628272.3768206819 -
The
cube root of 13164360440400 is 23612.0261173955
Scales and comparisons
How big is 13164360440400?- 13,164,360,440,400 seconds is equal to 418,585 years, 48 weeks, 6 days, 21 hours.
-
To count from 1 to 13,164,360,440,400 would take you about one million, forty-six thousand, four hundred sixty-four 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 13164360440400 cubic inches would be around 1967.7 feet tall.
Recreational maths with 13164360440400
- 13164360440400 backwards is 00404406346131
- 13164360440400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13164360440400's digits is 36
- More coming soon!
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"Number 13164360440400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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The information we have on file for 13164360440400 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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