131909060006400
131,909,060,006,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131909060006400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
131909060006400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 131909060006400:
29 × 3 × 52 × 19 × 53 × 1093 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 53 × 1093 × 3121)See below for interesting mathematical facts about the number 131909060006400 from the Numbermatics database.
Names of 131909060006400
- Cardinal: 131909060006400 can be written as One hundred thirty-one trillion, nine hundred nine billion, sixty million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.319090600064 × 1014
Factors of 131909060006400
Divisors of 131909060006400
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 53 57 60 64 75 76 80 95 96 100 106 114 120 128 150 152 159 160 190 192 200 212 228 240 256 265 285 300 304 318 320 380 384 400 424 456 475 480 512 530 570 600 608 636 640 760 768 795 800 848 912 950 960 1007 1060 1093 1140 1200 1216 1272 1280 1325 1425 1520 1536 1590 1600 1696 1824 1900 1920 2014 2120 2186 2280 2400 2432 2544 2560 2650 2850 3021 3040 3121 3180 3200 3279 3392 3648 3800 3840 3975 4028 4240 4372 4560 4800 4864 5035 5088 5300 5465 5700 6042 6080 6242 6360 6400 6558 6784 7296 7600 7680 7950 8056 8480 8744 9120 9363 9600 9728 10070 10176 10600 10930 11400 12084 12160 12484 12720 12800 13116 13568 14592 15105 15200 15605 15900 16112 16395 16960 17488 18240 18726 19200 20140 20352 20767 21200 21860 22800 24168 24320 24968 25175 25440 26232 27136 27325 29184 30210 30400 31210 31800 32224 32790 33920 34976 36480 37452 38400 40280 40704 41534 42400 43720 45600 46815 48336 48640 49936 50350 50880 52464 54650 57929 59299 60420 60800 62301 62420 63600 64448 65580 67840 69952 72960 74904 75525 78025 80560 81408 81975 83068 84800 87440 91200 93630 96672 99872 100700 101760 103835 104928 109300 115858 118598 120840 121600 124602 124840 127200 128896 131160 135680 139904 145920 149808 151050 156050 161120 163950 165413 166136 169600 173787 174880 177897 182400 187260 193344 199744 201400 203520 207670 209856 218600 231716 234075 237196 241680 243200 249204 249680 254400 257792 262320 279808 289645 296495 299616 302100 311505 312100 322240 327900 330826 332272 339200 347574 349760 355794 364800 374520 386688 399488 402800 407040 415340 419712 437200 463432 468150 474392 483360 496239 498408 499360 508800 515584 519175 524640 559616 579290 592990 599232 604200 623010 624200 644480 655800 661652 664544 678400 695148 699520 711588 729600 749040 773376 798976 805600 827065 830680 839424 868935 874400 889485 926864 936300 948784 966720 992478 996816 998720 1017600 1038350 1049280 1100651 1158580 1185980 1198464 1208400 1246020 1248400 1288960 1311600 1323304 1329088 1390296 1399040 1423176 1448225 1482475 1498080 1546752 1557525 1597952 1611200 1654130 1661360 1678848 1737870 1748800 1778970 1853728 1872600 1897568 1933440 1984956 1993632 1997440 2035200 2076700 2098560 2201302 2317160 2371960 2396928 2416800 2481195 2492040 2496800 2577920 2623200 2646608 2658176 2780592 2798080 2846352 2896450 2964950 2996160 3115050 3142847 3222400 3301953 3308260 3322720 3411253 3475740 3497600 3557940 3707456 3745200 3795136 3866880 3969912 3987264 3994880 4135325 4153400 4197120 4344675 4402604 4447425 4634320 4743920 4793856 4833600 4962390 4984080 4993600 5246400 5293216 5316352 5503255 5561184 5692704 5792900 5929900 5992320 6230100 6285694 6444800 6603906 6616520 6645440 6822506 6951480 6995200 7115880 7414912 7490400 7590272 7733760 7939824 7974528 7989760 8270650 8306800 8394240 8689350 8805208 8894850 9268640 9428541 9487840 9667200 9924780 9968160 9987200 10233759 10492800 10586432 10632704 11006510 11122368 11385408 11585800 11859800 11984640 12405975 12460200 12571388 12889600 13207812 13233040 13290880 13645012 13902960 13990400 14231760 14829824 14980800 15180544 15714235 15879648 15949056 16509765 16541300 16613600 17056265 17378700 17610416 17789700 18537280 18857082 18975680 19334400 19849560 19936320 19974400 20467518 20985600 21172864 22013020 22244736 22770816 23171600 23719600 23969280 24811950 24920400 25142776 26415624 26466080 26581760 27290024 27516275 27805920 28463520 29659648 29961600 30361088 31428470 31759296 31898112 33019530 33082600 33227200 34112530 34757400 35220832 35579400 37074560 37714164 37951360 38668800 39699120 39872640 39948800 40935036 41971200 42345728 44026040 44489472 45541632 46343200 47142705 47439200 49623900 49840800 50285552 51168795 52831248 52932160 53163520 54580048 55032550 55611840 56927040 59923200 62856940 63518592 64813807 66039060 66165200 66454400 68225060 69514800 70441664 71158800 74149120 75428328 75902720 78571175 79398240 79745280 81870072 82548825 84691456 85281325 88052080 88978944 91083264 92686400 94285410 94878400 99247800 99681600 100571104 102337590 105662496 105864320 109160096 110065100 111223680 113854080 119846400 125713880 127037184 129627614 132078120 132330400 132908800 136450120 139029600 140883328 142317600 148298240 150856656 151805440 157142350 158796480 159490560 163740144 165097650 170562650 176104160 180796409 185372800 188570820 189756800 194441421 198495600 199363200 201142208 204675180 211324992 211728640 218320192 220130200 222447360 227708160 235713525 251427760 254074368 255843975 259255228 264156240 264660800 265817600 272900240 278059200 281766656 284635200 301713312 314284700 317592960 324069035 327480288 330195300 341125300 352208320 361592818 370745600 377141640 379513600 388882842 396991200 398726400 402284416 409350360 422649984 423457280 436640384 440260400 444894720 455416320 471427050 502855520 511687950 518510456 528312480 529321600 542389227 545800480 556118400 563533312 569270400 603426624 628569400 635185920 648138070 654960576 660390600 682250600 704416640 723185636 741491200 754283280 759027200 777765684 793982400 797452800 804568832 818700720 845299968 873280768 880520800 903982045 942854100 972207105 1005711040 1023375900 1037020912 1056624960 1058643200 1084778454 1091600960 1112236800 1138540800 1206853248 1257138800 1270371840 1296276140 1309921152 1320781200 1364501200 1408833280 1446371272 1508566560 1555531368 1587964800 1609137664 1620345175 1637401440 1690599936 1746561536 1761041600 1807964090 1885708200 1944414210 2011422080 2046751800 2074041824 2113249920 2117286400 2169556908 2183201920 2224473600 2277081600 2413706496 2514277600 2592552280 2619842304 2641562400 2711946135 2729002400 2817666560 2892742544 3017133120 3111062736 3175929600 3240690350 3274802880 3435131771 3522083200 3615928180 3771416400 3888828420 4022844160 4093503600 4148083648 4226499840 4339113816 4366403840 4519910225 4827412992 4861035525 5028555200 5185104560 5239684608 5283124800 5423892270 5458004800 5785485088 6034266240 6222125472 6351859200 6481380700 6549605760 6870263542 7044166400 7231856360 7542832800 7777656840 8045688320 8187007200 8296167296 8452999680 8678227632 8732807680 9039820450 9722071050 10057110400 10305395313 10370209120 10566249600 10847784540 10916009600 11570970176 12068532480 12444250944 12962761400 13099211520 13559730675 13740527084 14088332800 14463712720 15085665600 15555313680 16374014400 16592334592 17175658855 17356455264 18079640900 19444142100 20114220800 20610790626 20740418240 21132499200 21695569080 21832019200 23141940352 24137064960 24888501888 25925522800 26198423040 27119461350 27481054168 28927425440 30171331200 31110627360 32748028800 33184669184 34351317710 34712910528 36159281800 38888284200 40228441600 41221581252 41480836480 42264998400 43391138160 43664038400 46283880704 49777003776 51526976565 51851045600 54238922700 54962108336 57854850880 60342662400 62221254720 65496057600 68702635420 69425821056 72318563600 77776568400 82443162504 82961672960 85878294275 86782276320 92567761408 99554007552 103053953130 103702091200 108477845400 109924216672 115709701760 120685324800 124442509440 130992115200 137405270840 138851642112 144637127200 155553136800 164886325008 165923345920 171756588550 173564552640 206107906260 207404182400 216955690800 219848433344 231419403520 248885018880 257634882825 274810541680 277703284224 289274254400 311106273600 329772650016 343513177100 347129105280 412215812520 414808364800 433911381600 439696866688 462838807040 497770037760 515269765650 549621083360 578548508800 622212547200 659545300032 687026354200 694258210560 824431625040 829616729600 867822763200 879393733376 1030539531300 1099242166720 1157097017600 1244425094400 1319090600064 1374052708400 1388516421120 1648863250080 1735645526400 1758787466752 2061079062600 2198484333440 2314194035200 2488850188800 2638181200128 2748105416800 3297726500160 3471291052800 4122158125200 4396968666880 5276362400256 5496210833600 6595453000320 6942582105600 8244316250400 8793937333760 10992421667200 13190906000640 16488632500800 21984843334400 26381812001280 32977265001600 43969686668800 65954530003200 131909060006400
- Sum of all divisors σ(n): 467919662474880
- Sum of proper divisors (its aliquot sum) s(n): 336010602468480
- 131909060006400 is an abundant number, because the sum of its proper divisors (336010602468480) is greater than itself. Its abundance is 204101542462080
Bases of 131909060006400
- Binary: 111011111111000011110001010101000010010000000002
- Hexadecimal: 0x77F878AA1200
- Base-36: 1ARA6OJBPC
Squares and roots of 131909060006400
- 131909060006400 squared (1319090600064002) is 17400000111772035968040960000
- 131909060006400 cubed (1319090600064003) is 2295217658855104199545814105293062144000000
-
The
square root of 131909060006400 is 11485166.9559654205 -
The
cube root of 131909060006400 is 50904.7382321937
Scales and comparisons
How big is 131909060006400?- 131,909,060,006,400 seconds is equal to 4,194,300 years, 4 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 131,909,060,006,400 would take you about ten million, four hundred eighty-five thousand, seven hundred fifty 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 131909060006400 cubic inches would be around 4242.1 feet tall.
Recreational maths with 131909060006400
- 131909060006400 backwards is 004600060909131
- The number of decimal digits it has is: 15
- The sum of 131909060006400's digits is 39
- More coming soon!
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The information we have on file for 131909060006400 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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