138022417538790400
138,022,417,538,790,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138022417538790400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
138022417538790400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138022417538790400:
210 × 52 × 7 × 11 × 31 × 43 × 421 × 124769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 31 × 43 × 421 × 124769)See below for interesting mathematical facts about the number 138022417538790400 from the Numbermatics database.
Names of 138022417538790400
- Cardinal: 138022417538790400 can be written as One hundred thirty-eight quadrillion, twenty-two trillion, four hundred seventeen billion, five hundred thirty-eight million, seven hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.380224175387904 × 1017
Factors of 138022417538790400
Divisors of 138022417538790400
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 40 43 44 50 55 56 62 64 70 77 80 86 88 100 110 112 124 128 140 154 155 160 172 175 176 200 215 217 220 224 248 256 275 280 301 308 310 320 341 344 350 352 385 400 421 430 434 440 448 473 496 512 550 560 602 616 620 640 682 688 700 704 770 775 800 842 860 868 880 896 946 992 1024 1075 1085 1100 1120 1204 1232 1240 1280 1333 1364 1376 1400 1408 1505 1540 1550 1600 1684 1705 1720 1736 1760 1792 1892 1925 1984 2105 2150 2170 2200 2240 2365 2387 2408 2464 2480 2560 2666 2728 2752 2800 2816 2947 3010 3080 3100 3200 3311 3368 3410 3440 3472 3520 3584 3784 3850 3968 4210 4300 4340 4400 4480 4631 4730 4774 4816 4928 4960 5120 5332 5425 5456 5504 5600 5632 5894 6020 6160 6200 6400 6622 6665 6736 6820 6880 6944 7040 7168 7525 7568 7700 7936 8420 8525 8600 8680 8800 8960 9262 9331 9460 9548 9632 9856 9920 10525 10664 10850 10912 11008 11200 11264 11788 11825 11935 12040 12320 12400 12800 13051 13244 13330 13472 13640 13760 13888 14080 14663 14735 15050 15136 15400 15872 16555 16840 17050 17200 17360 17600 17920 18103 18524 18662 18920 19096 19264 19712 19840 21050 21328 21700 21824 22016 22400 23155 23576 23650 23870 24080 24640 24800 25600 26102 26488 26660 26944 27280 27520 27776 28160 29326 29470 30100 30272 30800 31744 32417 33110 33325 33680 34100 34400 34720 35200 35840 36206 37048 37324 37840 38192 38528 39424 39680 42100 42656 43400 43648 44032 44800 46310 46655 47152 47300 47740 48160 49280 49600 52204 52976 53320 53888 54560 55040 55552 56320 58652 58940 59675 60200 60544 61600 64834 65255 66220 66650 67360 68200 68800 69440 70400 72412 73315 73675 74096 74648 75680 76384 77056 78848 79360 82775 84200 85312 86800 87296 89600 90515 91357 92620 93310 94304 94600 95480 96320 98560 99200 102641 104408 105952 106640 107776 109120 110080 111104 115775 117304 117880 119350 120400 121088 123200 124769 126721 129668 130510 132440 133300 134720 136400 137600 138880 140800 143561 144824 146630 147350 148192 149296 151360 152768 154112 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36475268905600 38510719179350 39210914073520 39753000443200 40122795796160 40475782269440 40980527772800 41686021606400 43132005480872 44523360496384 44812473226880 45854623767040 46834888883200 49013642591900 49293720549568 50153494745200 50594727836800 51771349414400 53915006851090 55654200620480 56015591533600 57318279708800 57822546099200 58360430248960 61617150686960 62737462517632 63604800709120 64196473273856 65568844436480 69567750775600 71699957163008 72950537811200 77021438358700 78421828147040 79506000886400 80245591592320 80951564538880 81961055545600 86264010961744 89046720992768 89624946453760 91709247534080 98027285183800 98587441099136 100306989490400 101189455673600 103542698828800 107830013702180 111308401240960 112031183067200 114636559417600 123234301373920 125474925035264 127209601418240 128392946547712 134787517127725 139135501551200 145901075622400 154042876717400 156843656294080 159012001772800 160491183184640 163922111091200 172528021923488 178093441985536 179249892907520 196054570367600 197174882198272 200613978980800 202378911347200 215660027404360 222616802481920 224062366134400 229273118835200 246468602747840 250949850070528 269575034255450 278271003102400 291802151244800 308085753434800 313687312588160 318024003545600 320982366369280 327844222182400 345056043846976 358499785815040 392109140735200 394349764396544 401227957961600 404757822694400 431320054808720 445233604963840 448124732268800 458546237670400 492937205495680 501899700141056 539150068510900 556542006204800 616171506869600 627374625176320 636048007091200 641964732738560 690112087693952 784218281470400 788699528793088 802455915923200 862640109617440 890467209927680 896249464537600 985874410991360 1078300137021800 1113084012409600 1232343013739200 1254749250352640 1380224175387904 1568436562940800 1604911831846400 1725280219234880 1792498929075200 1971748821982720 2156600274043600 2226168024819200 2464686027478400 2509498500705280 2760448350775808 3136873125881600 3209823663692800 3450560438469760 3943497643965440 4313200548087200 4452336049638400 4929372054956800 5520896701551616 6273746251763200 6901120876939520 8626401096174400 9858744109913600 12547492503526400 13802241753879040 17252802192348800 19717488219827200 27604483507758080 34505604384697600 69011208769395200 138022417538790400
- Sum of all divisors σ(n): 451622999032381440
- Sum of proper divisors (its aliquot sum) s(n): 313600581493591040
- 138022417538790400 is an abundant number, because the sum of its proper divisors (313600581493591040) is greater than itself. Its abundance is 175578163954800640
Bases of 138022417538790400
- Binary: 1111010100101101010101000010100000111000010110100000000002
- Hexadecimal: 0x1EA5AA85070B400
- Base-36: 11R0V3A1DO1S
Squares and roots of 138022417538790400
- 138022417538790400 squared (1380224175387904002) is 19050187743252195819088695132160000
- 138022417538790400 cubed (1380224175387904003) is 2629352966891501781769864325761983316454539264000000
-
The
square root of 138022417538790400 is 371513684.1877973141 -
The
cube root of 138022417538790400 is 516792.9058414911
Scales and comparisons
How big is 138022417538790400?- 138,022,417,538,790,400 seconds is equal to 4,388,685,946 years, 18 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,022,417,538,790,400 would take you about thirteen billion, one hundred sixty-six million, fifty-seven thousand, eight 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 138022417538790400 cubic inches would be around 43066.1 feet tall.
Recreational maths with 138022417538790400
- 138022417538790400 backwards is 004097835714220831
- 138022417538790400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138022417538790400's digits is 64
- More coming soon!
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"Number 138022417538790400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138022417538790400 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138022417538790400/
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The information we have on file for 138022417538790400 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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