138004961630040883200
138,004,961,630,040,883,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138004961630040883200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2232 divisors.
138004961630040883200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred thirty-two divisors.
Prime factorization of 138004961630040883200:
230 × 3 × 52 × 172 × 1813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 181 × 181 × 181)See below for interesting mathematical facts about the number 138004961630040883200 from the Numbermatics database.
Names of 138004961630040883200
- Cardinal: 138004961630040883200 can be written as One hundred thirty-eight quintillion, four quadrillion, nine hundred sixty-one trillion, six hundred thirty billion, forty million, eight hundred eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.380049616300408832 × 1020
Factors of 138004961630040883200
Divisors of 138004961630040883200
- Number of divisors d(n): 2232
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 128 136 150 160 170 181 192 200 204 240 255 256 272 289 300 320 340 362 384 400 408 425 480 510 512 543 544 578 600 640 680 724 768 800 816 850 867 905 960 1020 1024 1086 1088 1156 1200 1275 1280 1360 1445 1448 1536 1600 1632 1700 1734 1810 1920 2040 2048 2172 2176 2312 2400 2550 2560 2715 2720 2890 2896 3072 3077 3200 3264 3400 3468 3620 3840 4080 4096 4335 4344 4352 4525 4624 4800 5100 5120 5430 5440 5780 5792 6144 6154 6400 6528 6800 6936 7225 7240 7680 8160 8192 8670 8688 8704 9050 9231 9248 9600 10200 10240 10860 10880 11560 11584 12288 12308 12800 13056 13575 13600 13872 14450 14480 15360 15385 16320 16384 17340 17376 17408 18100 18462 18496 19200 20400 20480 21675 21720 21760 23120 23168 24576 24616 25600 26112 27150 27200 27744 28900 28960 30720 30770 32640 32761 32768 34680 34752 34816 36200 36924 36992 38400 40800 40960 43350 43440 43520 46155 46240 46336 49152 49232 51200 52224 52309 54300 54400 55488 57800 57920 61440 61540 65280 65522 65536 69360 69504 69632 72400 73848 73984 76800 76925 81600 81920 86700 86880 87040 92310 92480 92672 98283 98304 98464 102400 104448 104618 108600 108800 110976 115600 115840 122880 123080 130560 131044 131072 138720 139008 139264 144800 147696 147968 153600 153850 156927 163200 163805 163840 173400 173760 174080 184620 184960 185344 196566 196608 196928 204800 208896 209236 217200 217600 221952 230775 231200 231680 245760 246160 261120 261545 262088 262144 277440 278016 278528 289600 295392 295936 307200 307700 313854 326400 327610 327680 346800 347520 348160 369240 369920 370688 393132 393216 393856 409600 417792 418472 434400 435200 443904 461550 462400 463360 491415 491520 492320 522240 523090 524176 524288 554880 556032 556937 557056 579200 590784 591872 614400 615400 627708 652800 655220 655360 693600 695040 696320 738480 739840 741376 784635 786264 786432 787712 819025 819200 835584 836944 868800 870400 887808 923100 924800 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210578859909120 210623854018560 211404659359744 219855349350400 224252456337408 224617450569728 233166903705600 233596308684800 238268234858496 247739835187200 247792769433600 248196077977600 248711363952640 263223574886400 263279817523200 263826419220480 264255824199680 280315570421760 280771813212160 280831805358080 297835293573120 298453636743168 299003275116544 310889204940800 317106989039616 317690979811328 329783024025600 330319780249600 336926175854592 350394463027200 350964766515200 351039756697600 372294116966400 373067045928960 373754093895680 396383736299520 397113724764160 397938182324224 421157719818240 421247708037120 422809318719488 439710698700800 448504912674816 449234901139456 466333807411200 467192617369600 476536469716992 495479670374400 496392155955200 497422727905280 526447149772800 526559635046400 527652838440960 528511648399360 560631140843520 561543626424320 595670587146240 596907273486336 598006550233088 621778409881600 634213978079232 635381959622656 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2246174505697280 2382682348584960 2387629093945344 2487113639526400 2536855912316928 2541527838490624 2638264192204800 2642558241996800 2695409406836736 2803155704217600 2807718132121600 2978352935731200 2984536367431680 2990032751165440 3171069890396160 3176909798113280 3183505458593792 3369261758545920 3382474549755904 3593879209115648 3730670459289600 3737540938956800 3812291757735936 3963837362995200 3971137247641600 3979381823242240 4211577198182400 4212477080371200 4228093187194880 4485049126748160 4492349011394560 4765364697169920 4775258187890688 4974227279052800 5073711824633856 5083055676981248 5285116483993600 5390818813673472 5606311408435200 5615436264243200 5956705871462400 5969072734863360 6342139780792320 6353819596226560 6367010917187584 6738523517091840 6764949099511808 7187758418231296 7461340918579200 7475081877913600 7624583515471872 7927674725990400 7942274495283200 7958763646484480 8423154396364800 8456186374389760 8970098253496320 8984698022789120 9530729394339840 9550516375781376 9948454558105600 10147423649267712 10166111353962496 10570232967987200 10781637627346944 11212622816870400 11230872528486400 11913411742924800 11938145469726720 12684279561584640 12707639192453120 13477047034183680 13529898199023616 14375516836462592 14922681837158400 14950163755827200 15249167030943744 15855349451980800 15884548990566400 15917527292968960 16846308792729600 16912372748779520 17969396045578240 19061458788679680 19101032751562752 19896909116211200 20294847298535424 21140465935974400 21563275254693888 22425245633740800 22461745056972800 23826823485849600 23876290939453440 25368559123169280 25415278384906240 26954094068367360 27059796398047232 28751033672925184 29845363674316800 30498334061887488 31710698903961600 31769097981132800 31835054585937920 33692617585459200 33824745497559040 35938792091156480 38122917577359360 39793818232422400 40589694597070848 42280931871948800 43126550509387776 44850491267481600 44923490113945600 47653646971699200 47752581878906880 50737118246338560 50830556769812480 53908188136734720 54119592796094464 57502067345850368 59690727348633600 63421397807923200 63538195962265600 67385235170918400 67649490995118080 71877584182312960 76245835154718720 79587636464844800 81179389194141696 84561863743897600 86253101018775552 89846980227891200 95307293943398400 95505163757813760 101474236492677120 107816376273469440 108239185592188928 115004134691700736 119381454697267200 126842795615846400 127076391924531200 134770470341836800 135298981990236160 143755168364625920 152491670309437440 159175272929689600 162358778388283392 169123727487795200 172506202037551104 179693960455782400 190614587886796800 202948472985354240 215632752546938880 230008269383401472 238762909394534400 253685591231692800 254152783849062400 269540940683673600 270597963980472320 287510336729251840 324717556776566784 338247454975590400 345012404075102208 359387920911564800 381229175773593600 405896945970708480 431265505093877760 460016538766802944 477525818789068800 507371182463385600 539081881367347200 541195927960944640 575020673458503680 676494909951180800 690024808150204416 718775841823129600 762458351547187200 811793891941416960 862531010187755520 920033077533605888 1014742364926771200 1078163762734694400 1150041346917007360 1352989819902361600 1380049616300408832 1437551683646259200 1623587783882833920 1725062020375511040 1840066155067211776 2029484729853542400 2156327525469388800 2300082693834014720 2705979639804723200 2760099232600817664 2875103367292518400 3450124040751022080 4058969459707084800 4312655050938777600 4600165387668029440 5520198465201635328 5750206734585036800 6900248081502044160 8117938919414169600 8625310101877555200 9200330775336058880 11500413469170073600 13800496163004088320 17250620203755110400 23000826938340147200 27600992326008176640 34501240407510220800 46001653876680294400 69002480815020441600 138004961630040883200
- Sum of all divisors σ(n): 487451846638676365264
- Sum of proper divisors (its aliquot sum) s(n): 349446885008635482064
- 138004961630040883200 is an abundant number, because the sum of its proper divisors (349446885008635482064) is greater than itself. Its abundance is 211441923378594598864
Bases of 138004961630040883200
- Binary: 11101111011001101000001110101101011110000000000000000000000000000002
- Hexadecimal: 0x77B341D6BC0000000
- Base-36: T4HW41D2GEVPC
Squares and roots of 138004961630040883200
- 138004961630040883200 squared (1380049616300408832002) is 19045369434509056425794624903436042240000
- 138004961630040883200 cubed (1380049616300408832003) is 2628355478039375765576957072714600511299111407602106368000000
-
The
square root of 138004961630040883200 is 11747551303.5713482343 -
The
cube root of 138004961630040883200 is 5167711.1839010443
Scales and comparisons
How big is 138004961630040883200?- 138,004,961,630,040,883,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,004,961,630,040,883,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138004961630040883200 cubic inches would be around 430642.6 feet tall.
Recreational maths with 138004961630040883200
- 138004961630040883200 backwards is 002388040036169400831
- The number of decimal digits it has is: 21
- The sum of 138004961630040883200's digits is 66
- More coming soon!
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"Number 138004961630040883200 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138004961630040883200 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138004961630040883200/
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Numbermatics. 2024. "Number 138004961630040883200 - Facts about the integer". https://numbermatics.com/n/138004961630040883200/
The information we have on file for 138004961630040883200 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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