138107006484480
138,107,006,484,480 is an even composite number composed of five prime numbers multiplied together.
What does the number 138107006484480 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
138107006484480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138107006484480:
220 × 33 × 5 × 113 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 733)See below for interesting mathematical facts about the number 138107006484480 from the Numbermatics database.
Names of 138107006484480
- Cardinal: 138107006484480 can be written as One hundred thirty-eight trillion, one hundred seven billion, six million, four hundred eighty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3810700648448 × 1014
Factors of 138107006484480
Divisors of 138107006484480
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 121 128 132 135 144 160 165 176 180 192 198 216 220 240 242 256 264 270 288 297 320 330 352 360 363 384 396 432 440 480 484 495 512 528 540 576 594 605 640 660 704 720 726 733 768 792 864 880 960 968 990 1024 1056 1080 1089 1152 1188 1210 1280 1320 1331 1408 1440 1452 1466 1485 1536 1584 1728 1760 1815 1920 1936 1980 2048 2112 2160 2178 2199 2304 2376 2420 2560 2640 2662 2816 2880 2904 2932 2970 3072 3168 3267 3456 3520 3630 3665 3840 3872 3960 3993 4096 4224 4320 4356 4398 4608 4752 4840 5120 5280 5324 5445 5632 5760 5808 5864 5940 6144 6336 6534 6597 6655 6912 7040 7260 7330 7680 7744 7920 7986 8063 8192 8448 8640 8712 8796 9216 9504 9680 10240 10560 10648 10890 10995 11264 11520 11616 11728 11880 11979 12288 12672 13068 13194 13310 13824 14080 14520 14660 15360 15488 15840 15972 16126 16335 16384 16896 17280 17424 17592 18432 19008 19360 19791 19965 20480 21120 21296 21780 21990 22528 23040 23232 23456 23760 23958 24189 24576 25344 26136 26388 26620 27648 28160 29040 29320 30720 30976 31680 31944 32252 32670 32768 32985 33792 34560 34848 35184 35937 36864 38016 38720 39582 39930 40315 40960 42240 42592 43560 43980 45056 46080 46464 46912 47520 47916 48378 49152 50688 52272 52776 53240 55296 56320 58080 58640 59895 61440 61952 63360 63888 64504 65340 65536 65970 67584 69120 69696 70368 71874 72567 73728 76032 77440 79164 79860 80630 81920 84480 85184 87120 87960 88693 90112 92160 92928 93824 95040 95832 96756 98304 98955 101376 104544 105552 106480 110592 112640 116160 117280 119790 120945 122880 123904 126720 127776 129008 130680 131072 131940 135168 138240 139392 140736 143748 145134 147456 152064 154880 158328 159720 161260 163840 168960 170368 174240 175920 177386 179685 180224 184320 185856 187648 190080 191664 193512 196608 197910 202752 209088 211104 212960 217701 221184 225280 232320 234560 239580 241890 245760 247808 253440 255552 258016 261360 262144 263880 266079 270336 276480 278784 281472 287496 290268 294912 304128 309760 316656 319440 322520 327680 337920 340736 348480 351840 354772 359370 360448 362835 368640 371712 375296 380160 383328 387024 393216 395820 405504 418176 422208 425920 435402 442368 443465 450560 464640 469120 479160 483780 491520 495616 506880 511104 516032 522720 524288 527760 532158 540672 552960 557568 562944 574992 580536 589824 608256 619520 633312 638880 645040 655360 675840 681472 696960 703680 709544 718740 720896 725670 737280 743424 750592 760320 766656 774048 786432 791640 798237 811008 836352 844416 851840 870804 884736 886930 901120 929280 938240 958320 967560 975623 983040 991232 1013760 1022208 1032064 1045440 1048576 1055520 1064316 1081344 1088505 1105920 1115136 1125888 1149984 1161072 1179648 1216512 1239040 1266624 1277760 1290080 1310720 1330395 1351680 1362944 1393920 1407360 1419088 1437480 1441792 1451340 1474560 1486848 1501184 1520640 1533312 1548096 1572864 1583280 1596474 1622016 1672704 1688832 1703680 1741608 1769472 1773860 1802240 1858560 1876480 1916640 1935120 1951246 1966080 1982464 2027520 2044416 2064128 2090880 2111040 2128632 2162688 2177010 2211840 2230272 2251776 2299968 2322144 2359296 2394711 2433024 2478080 2533248 2555520 2580160 2621440 2660790 2703360 2725888 2787840 2814720 2838176 2874960 2883584 2902680 2926869 2949120 2973696 3002368 3041280 3066624 3096192 3145728 3166560 3192948 3244032 3345408 3377664 3407360 3483216 3538944 3547720 3604480 3717120 3752960 3833280 3870240 3902492 3932160 3964928 3991185 4055040 4088832 4128256 4181760 4222080 4257264 4325376 4354020 4423680 4460544 4503552 4599936 4644288 4718592 4789422 4866048 4878115 4956160 5066496 5111040 5160320 5242880 5321580 5406720 5451776 5575680 5629440 5676352 5749920 5767168 5805360 5853738 5898240 5947392 6004736 6082560 6133248 6192384 6333120 6385896 6488064 6690816 6755328 6814720 6966432 7077888 7095440 7208960 7434240 7505920 7666560 7740480 7804984 7864320 7929856 7982370 8110080 8177664 8256512 8363520 8444160 8514528 8650752 8708040 8780607 8847360 8921088 9007104 9199872 9288576 9437184 9578844 9732096 9756230 9912320 10132992 10222080 10320640 10643160 10813440 10903552 11151360 11258880 11352704 11499840 11534336 11610720 11707476 11796480 11894784 11973555 12009472 12165120 12266496 12384768 12666240 12771792 12976128 13381632 13510656 13629440 13932864 14155776 14190880 14417920 14634345 14868480 15011840 15333120 15480960 15609968 15728640 15859712 15964740 16220160 16355328 16513024 16727040 16888320 17029056 17301504 17416080 17561214 17694720 17842176 18014208 18399744 18577152 19157688 19464192 19512460 19824640 20265984 20444160 20641280 21286320 21626880 21807104 22302720 22517760 22705408 22999680 23221440 23414952 23592960 23789568 23947110 24018944 24330240 24532992 24769536 25332480 25543584 25952256 26341821 26763264 27021312 27258880 27865728 28311552 28381760 28835840 29268690 29736960 30023680 30666240 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475791360 480378880 490659840 495390720 499518976 510871680 519045120 523370496 526836420 528416768 535265280 540426240 544929792 557314560 561958848 570949632 576454656 588791808 594468864 613046016 624398720 634388480 648511488 654213120 660520960 681162240 697827328 702448560 713687040 720568320 726573056 735989760 743086080 749278464 766307520 768606208 778567680 785055744 792625152 810639360 817394688 842938272 856424448 864681984 872284160 891703296 908216320 936598080 951582720 960757760 981319680 990781440 999037952 1021743360 1046740992 1053672840 1056833536 1070530560 1080852480 1089859584 1114629120 1123917696 1141899264 1152909312 1177583616 1188937728 1226092032 1248797440 1297022976 1308426240 1321041920 1362324480 1395654656 1404897120 1427374080 1441136640 1453146112 1471979520 1486172160 1498556928 1532615040 1557135360 1570111488 1585250304 1621278720 1634789376 1685876544 1712848896 1729363968 1744568320 1783406592 1816432640 1873196160 1903165440 1921515520 1962639360 1981562880 1998075904 2043486720 2093481984 2107345680 2113667072 2141061120 2161704960 2179719168 2229258240 2247835392 2305818624 2355167232 2377875456 2452184064 2497594880 2594045952 2616852480 2642083840 2724648960 2809794240 2854748160 2882273280 2906292224 2943959040 2972344320 2997113856 3065230080 3140222976 3170500608 3242557440 3269578752 3371753088 3425697792 3458727936 3489136640 3566813184 3632865280 3746392320 3843031040 3925278720 3963125760 3996151808 4086973440 4186963968 4214691360 4227334144 4282122240 4323409920 4359438336 4458516480 4495670784 4710334464 4755750912 4904368128 4995189760 5188091904 5233704960 5284167680 5449297920 5619588480 5709496320 5764546560 5812584448 5887918080 5944688640 5994227712 6130460160 6280445952 6341001216 6485114880 6539157504 6743506176 6917455872 6978273280 7133626368 7265730560 7492784640 7850557440 7926251520 7992303616 8173946880 8429382720 8454668288 8564244480 8646819840 8718876672 8917032960 8991341568 9420668928 9511501824 9808736256 9990379520 10376183808 10467409920 10568335360 10898595840 11239176960 11529093120 11625168896 11775836160 11889377280 11988455424 12260920320 12560891904 12682002432 12970229760 13078315008 13487012352 14267252736 14531461120 14985569280 15701114880 15852503040 15984607232 16347893760 16858765440 17128488960 17293639680 17437753344 17834065920 17982683136 18841337856 19023003648 19617472512 19980759040 20752367616 20934819840 21136670720 21797191680 22478353920 23250337792 23551672320 23778754560 23976910848 24521840640 25364004864 25940459520 26156630016 26974024704 28534505472 29062922240 29971138560 31402229760 31705006080 31969214464 32695787520 33717530880 34587279360 34875506688 35668131840 35965366272 37682675712 38046007296 39234945024 39961518080 42273341440 43594383360 44956707840 46500675584 47103344640 47557509120 47953821696 49043681280 51880919040 52313260032 53948049408 57069010944 58125844480 59942277120 62804459520 63410012160 63938428928 65391575040 67435061760 69751013376 71336263680 71930732544 76092014592 78469890048 79923036160 87188766720 89913415680 93001351168 94206689280 95115018240 95907643392 98087362560 103761838080 104626520064 107896098816 114138021888 116251688960 119884554240 126820024320 127876857856 130783150080 134870123520 139502026752 142672527360 143861465088 156939780096 159846072320 174377533440 179826831360 188413378560 190230036480 191815286784 196174725120 209253040128 215792197632 228276043776 232503377920 239769108480 255753715712 261566300160 269740247040 279004053504 285345054720 287722930176 313879560192 319692144640 348755066880 359653662720 380460072960 383630573568 392349450240 418506080256 431584395264 465006755840 479538216960 511507431424 523132600320 539480494080 570690109440 575445860352 627759120384 639384289280 697510133760 719307325440 767261147136 784698900480 837012160512 863168790528 959076433920 1023014862848 1046265200640 1078960988160 1141380218880 1150891720704 1255518240768 1278768578560 1395020267520 1438614650880 1534522294272 1569397800960 1726337581056 1918152867840 2092530401280 2157921976320 2301783441408 2511036481536 2557537157120 2877229301760 3069044588544 3138795601920 3452675162112 3836305735680 4185060802560 4315843952640 4603566882816 5115074314240 5754458603520 6277591203840 6905350324224 7672611471360 8631687905280 9207133765632 11508917207040 12555182407680 13810700648448 15345222942720 17263375810560 23017834414080 27621401296896 34526751621120 46035668828160 69053503242240 138107006484480
- Sum of all divisors σ(n): 540851551914240
- Sum of proper divisors (its aliquot sum) s(n): 402744545429760
- 138107006484480 is an abundant number, because the sum of its proper divisors (402744545429760) is greater than itself. Its abundance is 264637538945280
Bases of 138107006484480
- Binary: 111110110011011100010110001000000000000000000002
- Hexadecimal: 0x7D9B8B100000
- Base-36: 1CYDHDUDC0
Squares and roots of 138107006484480
- 138107006484480 squared (1381070064844802) is 19073545240104200768480870400
- 138107006484480 cubed (1381070064844803) is 2634190236157093494083475367531634491392000
-
The
square root of 138107006484480 is 11751893.7403501059 -
The
cube root of 138107006484480 is 51689.8458838903
Scales and comparisons
How big is 138107006484480?- 138,107,006,484,480 seconds is equal to 4,391,375 years, 31 weeks, 6 days, 4 hours, 48 minutes.
-
To count from 1 to 138,107,006,484,480 would take you about ten million, nine hundred seventy-eight thousand, four hundred thirty-nine 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 138107006484480 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138107006484480
- 138107006484480 backwards is 084484600701831
- 138107006484480 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138107006484480's digits is 54
- More coming soon!
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"Number 138107006484480 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138107006484480 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138107006484480/
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The information we have on file for 138107006484480 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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