131377294881381120
131,377,294,881,381,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131377294881381120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
131377294881381120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 131377294881381120:
28 × 3 × 5 × 112 × 13 × 1392 × 10612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 139 × 139 × 1061 × 1061)See below for interesting mathematical facts about the number 131377294881381120 from the Numbermatics database.
Names of 131377294881381120
- Cardinal: 131377294881381120 can be written as One hundred thirty-one quadrillion, three hundred seventy-seven trillion, two hundred ninety-four billion, eight hundred eighty-one million, three hundred eighty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3137729488138112 × 1017
Factors of 131377294881381120
Divisors of 131377294881381120
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 104 110 120 121 128 130 132 139 143 156 160 165 176 192 195 208 220 240 242 256 260 264 278 286 312 320 330 352 363 384 390 416 417 429 440 480 484 520 528 556 572 605 624 640 660 695 704 715 726 768 780 832 834 858 880 960 968 1040 1056 1061 1112 1144 1210 1248 1280 1320 1390 1408 1430 1452 1529 1560 1573 1664 1668 1716 1760 1807 1815 1920 1936 2080 2085 2112 2122 2145 2224 2288 2420 2496 2640 2780 2816 2860 2904 3058 3120 3146 3183 3328 3336 3432 3520 3614 3630 3840 3872 4160 4170 4224 4244 4290 4448 4576 4587 4719 4840 4992 5280 5305 5421 5560 5720 5808 6116 6240 6292 6366 6672 6864 7040 7228 7260 7645 7744 7865 8320 8340 8448 8488 8580 8896 9035 9152 9174 9438 9680 9984 10560 10610 10842 11120 11440 11616 11671 12232 12480 12584 12732 13344 13728 13793 14080 14456 14520 15290 15488 15730 15915 16640 16680 16819 16976 17160 17792 18070 18304 18348 18876 19321 19360 19877 21120 21220 21684 22240 22880 22935 23232 23342 23595 24464 24960 25168 25464 26688 27105 27456 27586 28912 29040 30580 30976 31460 31830 33360 33638 33952 34320 35013 35584 36140 36608 36696 37752 38642 38720 39754 41379 42240 42440 43368 44480 45760 45870 46464 46684 47190 48928 49920 50336 50457 50928 53376 54210 54912 55172 57824 57963 58080 58355 59631 61160 62920 63660 66720 67276 67904 68640 68965 70026 72280 73392 75504 77284 77440 79508 82758 84095 84880 86736 88960 91520 91740 92928 93368 94380 96605 97856 99385 100672 100914 101856 106752 108420 109824 110344 115648 115926 116160 116710 119262 122320 125840 127320 128381 133440 134552 135808 137280 137930 140052 144560 146784 147479 151008 151723 154568 154880 159016 165516 168190 169760 173472 175065 177920 183040 183480 186736 188760 193210 195712 198770 201344 201828 203712 206895 212531 216840 218647 220688 231296 231852 232320 233420 238524 244640 251173 251680 252285 254640 256762 266880 269104 271616 274560 275860 280104 289120 289815 293568 294958 298155 302016 303446 309136 318032 331032 336380 339520 346944 350130 366960 373472 377520 385143 386420 391424 397540 402688 403656 407424 413790 425062 433680 437294 441376 442437 455169 462592 463704 464640 466840 477048 489280 502346 503360 504570 509280 513524 533760 538208 549120 551720 560208 578240 579630 587136 589916 596310 604032 606892 618272 636064 637593 641905 655941 662064 672760 679040 693888 700260 733920 737395 746944 753519 755040 758615 770286 772840 795080 807312 814848 827580 850124 867360 874588 882752 884874 910338 927408 933680 954096 978560 1004692 1006720 1009140 1018560 1027048 1062655 1076416 1093235 1103440 1120416 1125721 1156480 1159260 1174272 1179832 1192620 1208064 1213784 1236544 1255865 1272128 1275186 1283810 1311882 1324128 1345520 1358080 1387776 1400520 1467840 1474790 1493888 1507038 1510080 1517230 1540572 1545680 1590160 1614624 1622269 1655160 1668953 1700248 1734720 1749176 1765504 1769748 1820676 1854816 1867360 1908192 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4785012197020 4846976383744 4922710389740 5159334546080 5220013305840 5263513416722 5370229516080 5568014192896 5628364959360 5655014414660 5728244817152 5742014636424 5907252467688 6058720479680 6191201455296 6220515856126 6609513250560 6786017297592 6799715070720 6960017741120 7160306021440 7177518295530 7270464575616 7384065584610 7656019515232 7739001819120 7811242932480 7876336623584 7895270125083 8254935273728 8352021289344 8482521621990 8592367225728 9048023063456 9088080719520 9330773784189 9524925315840 9570024394040 9845420779480 10318669092160 10440026611680 10527026833444 10740459032160 11256729918720 11310028829320 11484029272848 11814504935376 12117440959360 12382402910592 12441031712252 13158783541805 13572034595184 13920035482240 14320612042880 14355036591060 14540929151232 14768131169220 15312039030464 15478003638240 15551289640315 15752673247168 15790540250166 16704042578688 16965043243980 17184734451456 18096046126912 18176161439040 18661547568378 19140048788080 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108576276761472 114840292728480 118145049353760 123824029105920 124410317122520 126324322001328 135720345951840 136851348834772 149292380547024 153120390304640 157526732471680 157905402501660 168432429335104 171064186043465 180960461269120 183744468365568 186615475683780 189032078966016 199056507396032 205277023252158 210540536668880 217152553522944 229680585456960 236290098707520 248820634245040 252648644002656 271440691903680 273702697669544 298584761094048 306240780609280 315053464943360 315810805003320 336864858670208 342128372086930 361920922538240 373230951367560 398113014792064 410554046504316 421081073337760 459361170913920 472580197415040 497641268490080 505297288005312 513192558130395 542881383807360 547405395339088 597169522188096 631621610006640 673729717340416 684256744173860 746461902735120 796226029584128 821108093008632 842162146675520 918722341827840 945160394830080 995282536980160 1010594576010624 1026385116260790 1085762767614720 1094810790678176 1194339044376192 1263243220013280 1368513488347720 1492923805470240 1642216186017264 1684324293351040 1990565073960320 2021189152021248 2052770232521580 2189621581356352 2388678088752384 2526486440026560 2737026976695440 2985847610940480 3284432372034528 3368648586702080 3981130147920640 4105540465043160 4379243162712704 5052972880053120 5474053953390880 5971695221880960 6568864744069056 8211080930086320 8758486325425408 10105945760106240 10948107906781760 11943390443761920 13137729488138112 16422161860172640 21896215813563520 26275458976276224 32844323720345280 43792431627127040 65688647440690560 131377294881381120
- Sum of all divisors σ(n): 500745732983115984
- Sum of proper divisors (its aliquot sum) s(n): 369368438101734864
- 131377294881381120 is an abundant number, because the sum of its proper divisors (369368438101734864) is greater than itself. Its abundance is 237991143220353744
Bases of 131377294881381120
- Binary: 1110100101011111011110100001000001111010011011011000000002
- Hexadecimal: 0x1D2BEF420F4DB00
- Base-36: ZXLD42N52IO
Squares and roots of 131377294881381120
- 131377294881381120 squared (1313772948813811202) is 17259993610349369833411238692454400
- 131377294881381120 cubed (1313772948813811203) is 2267571270197623102801370503668968269736394620928000
-
The
square root of 131377294881381120 is 362460059.7050399427 -
The
cube root of 131377294881381120 is 508362.4199927707
Scales and comparisons
How big is 131377294881381120?- 131,377,294,881,381,120 seconds is equal to 4,177,391,600 years, 29 weeks, 5 days, 13 hours, 52 minutes.
-
To count from 1 to 131,377,294,881,381,120 would take you about twelve billion, five hundred thirty-two million, one hundred seventy-four thousand, eight hundred one 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 131377294881381120 cubic inches would be around 42363.5 feet tall.
Recreational maths with 131377294881381120
- 131377294881381120 backwards is 021183188492773131
- The number of decimal digits it has is: 18
- The sum of 131377294881381120's digits is 69
- More coming soon!
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The information we have on file for 131377294881381120 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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