138006151094663280
138,006,151,094,663,280 is an even composite number composed of six prime numbers multiplied together.
138006151094663280 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138006151094663280:
24 × 32 × 5 × 119 × 133 × 37
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 37)See below for interesting mathematical facts about the number 138006151094663280 from the Numbermatics database.
Names of 138006151094663280
- Cardinal: 138006151094663280 can be written as One hundred thirty-eight quadrillion, six trillion, one hundred fifty-one billion, ninety-four million, six hundred sixty-three thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.3800615109466328 × 1017
Factors of 138006151094663280
Divisors of 138006151094663280
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 33 36 37 39 40 44 45 48 52 55 60 65 66 72 74 78 80 88 90 99 104 110 111 117 120 121 130 132 143 144 148 156 165 169 176 180 185 195 198 208 220 222 234 240 242 260 264 286 296 312 330 333 338 360 363 370 390 396 407 429 440 444 468 481 484 495 507 520 528 555 572 585 592 605 624 660 666 676 715 720 726 740 780 792 814 845 858 880 888 936 962 968 990 1014 1040 1089 1110 1144 1170 1210 1221 1287 1320 1331 1332 1352 1430 1443 1452 1480 1521 1560 1573 1584 1628 1665 1690 1716 1776 1815 1859 1872 1924 1936 1980 2028 2035 2145 2178 2197 2220 2288 2340 2405 2420 2442 2535 2574 2640 2662 2664 2704 2860 2886 2904 2960 3042 3120 3146 3256 3330 3380 3432 3630 3663 3718 3848 3960 3993 4056 4070 4290 4329 4356 4394 4440 4477 4680 4719 4810 4840 4884 5070 5148 5291 5324 5328 5445 5577 5720 5772 5808 6084 6105 6253 6292 6435 6512 6591 6655 6660 6760 6864 7215 7260 7326 7436 7605 7696 7865 7920 7986 8112 8140 8580 8658 8712 8788 8880 8954 9295 9360 9438 9620 9680 9768 10140 10296 10582 10648 10890 10985 11154 11440 11544 11979 12168 12210 12506 12584 12870 13182 13310 13320 13431 13520 14157 14430 14520 14641 14652 14872 15210 15730 15873 15972 16280 16731 17160 17303 17316 17424 17576 17908 18315 18590 18759 18876 19240 19536 19773 19965 20280 20449 20592 21164 21296 21645 21780 21970 22308 22385 23088 23595 23958 24167 24336 24420 25012 25168 25740 26364 26455 26620 26640 26862 27885 28314 28860 29040 29282 29304 29744 30420 31265 31460 31746 31944 32560 32955 33462 34320 34606 34632 35152 35816 36630 37180 37518 37752 38480 39546 39930 40293 40560 40898 42328 43290 43560 43923 43940 44616 44770 47190 47619 47916 48334 48840 49247 50024 51480 51909 52728 52910 53240 53724 55770 56277 56628 57720 58201 58564 58608 59895 60840 61347 62530 62920 63492 63888 65910 66924 67155 68783 69212 69264 70785 71632 72501 73205 73260 74360 75036 75504 79092 79365 79860 80586 81289 81796 83655 84656 86515 86580 87120 87846 87880 89232 89540 93795 94380 95238 95832 96668 97680 98494 98865 100048 102245 102960 103818 105456 105820 106480 107448 111540 112554 113256 115440 116402 117128 119790 120835 121680 122694 125060 125840 126984 131769 131820 133848 134310 137566 138424 141570 145002 146410 146520 147741 148720 150072 155727 158184 158730 159720 161051 161172 162578 163592 167310 173030 173160 174603 175692 175760 179080 184041 187590 188760 190333 190476 191664 193336 196988 197730 201465 204490 206349 207636 211640 214896 217503 219615 223080 224939 225108 226512 232804 234256 238095 239580 241670 243867 245388 246235 250120 253968 259545 263538 263640 265837 267696 268620 275132 276848 281385 283140 290004 291005 292820 293040 295482 300144 306735 311454 316368 317460 319440 322102 322344 325156 327184 334620 343915 346060 346320 349206 351384 358160 362505 368082 375180 377520 380666 380952 386672 393976 395460 402930 406445 408980 412698 415272 423280 435006 439230 443223 446160 449878 450216 465608 476190 479160 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8248529740880 8477036308026 8640505327740 8694396213360 8773436178936 9073382714968 9279595958490 9418929231140 9426005812080 9504555860514 9563835834696 9748262421040 10207555554339 10275195524880 10360822154254 10368606393288 10469287748040 10723088663144 10966795223670 11035195193880 11302715077368 11341728393710 11520673770320 11954794793370 12063474746037 12372794611320 12563145297648 12672741147352 12960757991610 13041594320040 13403860828930 13610074072452 14128393846710 14256833790771 14345753752044 14622393631560 14744246911823 14847353533584 15412793287320 15541233231381 15703931622060 15840926434190 15939726391160 16084632994716 16954072616052 17012592590565 17281010655480 17425019077609 17546872357872 17932192190055 18146765429936 18559191916980 18837858462280 19009111721028 19127671669392 20105791243395 20415111108678 20721644308508 20737212786576 20938575496080 21192590770065 21446177326288 21933590447340 22070390387760 22605430154736 22683456787420 23761389651285 23909589586740 24126949492074 24745589222640 25345482294704 25902055385635 25921515983220 26083188640080 26807721657860 27220148144904 28256787693420 28513667581542 28691507504088 29244787263120 29488493823646 30825586574640 31082466462762 31407863244120 31681852868380 31879452782320 32169265989432 33908145232104 34025185181130 34562021310960 34850038155218 35864384380110 37118383833960 37675716924560 38018223442056 40211582486790 40830222217356 41443288617016 42385181540130 43867180894680 44232740735469 45366913574840 46623699694143 47522779302570 47819179173480 48253898984148 51037777771695 51804110771270 51843031966440 52275057232827 53615443315720 54440296289808 56513575386840 57027335163084 57383015008176 58976987647292 60317373730185 62164932925524 62815726488240 63363705736760 64338531978864 67816290464208 68050370362260 69700076310436 71284168953855 71728768760220 73721234559115 74236767667920 76036446884112 77706166156905 80423164973580 81660444434712 82886577234032 84770363080260 87125095388045 87734361789360 88465481470938 90733827149680 93247399388286 95045558605140 95638358346960 96507797968296 102075555543390 103608221542540 103686063932880 104550114465654 107230886631440 113027150773680 114054670326168 117953975294584 120634747460370 124329865851048 126727411473520 132698222206407 136100740724520 139400152620872 142568337907710 143457537520440 147442469118230 155412332313810 156825171698481 160846329947160 163320888869424 169540726160520 174250190776090 176930962941876 186494798776572 190091117210280 191675209853699 193015595936592 204151111086780 207216443085080 209100228931308 221163703677345 228109340652336 233118498470715 235907950589168 241269494920740 248659731702096 261375286164135 265396444412814 272201481449040 278800305241744 285136675815420 286915075040880 294884938236460 310824664627620 313650343396962 321692659894320 339081452321040 348500381552180 353861925883752 372989597553144 380182234420560 383350419707398 408302222173560 414432886170160 418200457862616 442327407354690 466236996941430 482538989841480 522750572328270 530792888825628 570273351630840 575025629561097 589769876472920 621649329255240 627300686793924 663491111032035 697000763104360 707723851767504 745979195106288 766700839414796 784125858492405 816604444347120 836400915725232 884654814709380 932473993882860 958376049268495 965077979682960 1045501144656540 1061585777651256 1140546703261680 1150051259122194 1179539752945840 1243298658510480 1254601373587848 1326982222064070 1394001526208720 1533401678829592 1568251716984810 1725076888683291 1769309629418760 1864947987765720 1916752098536990 2091002289313080 2123171555302512 2300102518244388 2509202747175696 2653964444128140 2875128147805485 3066803357659184 3136503433969620 3450153777366582 3538619258837520 3729895975531440 3833504197073980 4182004578626160 4600205036488776 5307928888256280 5750256295610970 6273006867939240 6900307554733164 7667008394147960 8625384443416455 9200410072977552 10615857776512560 11500512591221940 12546013735878480 13800615109466328 15334016788295920 17250768886832910 23001025182443880 27601230218932656 34501537773665820 46002050364887760 69003075547331640 138006151094663280
- Sum of all divisors σ(n): 567209768623243200
- Sum of proper divisors (its aliquot sum) s(n): 429203617528579920
- 138006151094663280 is an abundant number, because the sum of its proper divisors (429203617528579920) is greater than itself. Its abundance is 291197466433916640
Bases of 138006151094663280
- Binary: 1111010100100101111011100111111001101000011111000011100002
- Hexadecimal: 0x1EA4BDCFCD0F870
- Base-36: 11QV3IKSJ7G0
Squares and roots of 138006151094663280
- 138006151094663280 squared (1380061510946632802) is 19045697739963030836631696580358400
- 138006151094663280 cubed (1380061510946632803) is 2628423440004624986011337827391825534779909719552000
-
The
square root of 138006151094663280 is 371491791.4229913103 -
The
cube root of 138006151094663280 is 516772.6030690849
Scales and comparisons
How big is 138006151094663280?- 138,006,151,094,663,280 seconds is equal to 4,388,168,723 years, 39 weeks, 2 days, 11 hours, 48 minutes.
-
To count from 1 to 138,006,151,094,663,280 would take you about thirteen billion, one hundred sixty-four million, five hundred six thousand, one hundred seventy-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 138006151094663280 cubic inches would be around 43064.4 feet tall.
Recreational maths with 138006151094663280
- 138006151094663280 backwards is 082366490151600831
- The number of decimal digits it has is: 18
- The sum of 138006151094663280's digits is 63
- More coming soon!
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"Number 138006151094663280 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138006151094663280 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138006151094663280/
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Numbermatics. 2024. "Number 138006151094663280 - Facts about the integer". https://numbermatics.com/n/138006151094663280/
The information we have on file for 138006151094663280 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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