138129042355200
138,129,042,355,200 is an even composite number composed of seven prime numbers multiplied together.
138129042355200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 138129042355200:
210 × 34 × 52 × 13 × 17 × 73 × 4129
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 17 × 73 × 4129)See below for interesting mathematical facts about the number 138129042355200 from the Numbermatics database.
Names of 138129042355200
- Cardinal: 138129042355200 can be written as One hundred thirty-eight trillion, one hundred twenty-nine billion, forty-two million, three hundred fifty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.381290423552 × 1014
Factors of 138129042355200
Divisors of 138129042355200
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 73 75 78 80 81 85 90 96 100 102 104 108 117 120 128 130 135 136 144 146 150 153 156 160 162 170 180 192 195 200 204 208 216 219 221 225 234 240 255 256 260 270 272 288 292 300 306 312 320 324 325 340 351 360 365 384 390 400 405 408 416 425 432 438 442 450 459 468 480 510 512 520 540 544 576 584 585 600 612 624 640 648 650 657 663 675 680 702 720 730 765 768 780 800 810 816 832 850 864 876 884 900 918 936 949 960 975 1020 1024 1040 1053 1080 1088 1095 1105 1152 1168 1170 1200 1224 1241 1248 1275 1280 1296 1300 1314 1326 1350 1360 1377 1404 1440 1460 1530 1536 1560 1600 1620 1632 1664 1700 1728 1752 1755 1768 1800 1825 1836 1872 1898 1920 1950 1971 1989 2025 2040 2080 2106 2160 2176 2190 2210 2295 2304 2336 2340 2400 2448 2482 2496 2550 2560 2592 2600 2628 2652 2700 2720 2754 2808 2847 2880 2920 2925 3060 3072 3120 3200 3240 3264 3285 3315 3328 3400 3456 3504 3510 3536 3600 3650 3672 3723 3744 3796 3825 3840 3900 3942 3978 4050 4080 4129 4160 4212 4320 4352 4380 4420 4590 4608 4672 4680 4745 4800 4896 4964 4992 5100 5120 5184 5200 5256 5265 5304 5400 5440 5475 5508 5525 5616 5694 5760 5840 5850 5913 5967 6120 6205 6240 6400 6480 6528 6570 6630 6656 6800 6885 6912 7008 7020 7072 7200 7300 7344 7446 7488 7592 7650 7680 7800 7884 7956 8100 8160 8258 8320 8424 8541 8640 8704 8760 8775 8840 9180 9216 9344 9360 9490 9600 9792 9855 9928 9945 9984 10200 10368 10400 10512 10530 10608 10800 10880 10950 11016 11050 11169 11232 11388 11475 11520 11680 11700 11826 11934 12240 12387 12410 12480 12800 12960 13056 13140 13260 13312 13600 13770 13824 14016 14040 14144 14235 14400 14600 14688 14892 14976 15184 15300 15360 15600 15768 15912 16133 16200 16320 16425 16516 16575 16640 16848 17082 17280 17408 17520 17550 17680 17901 18360 18615 18688 18720 18980 19200 19584 19710 19856 19890 19968 20400 20645 20736 20800 21024 21060 21216 21600 21760 21900 22032 22100 22338 22464 22776 22950 23040 23360 23400 23652 23725 23868 24480 24774 24820 24960 25600 25623 25920 26112 26280 26325 26520 27200 27540 27648 28032 28080 28288 28470 28800 29200 29376 29565 29784 29835 29952 30368 30600 31025 31200 31536 31824 32266 32400 32640 32850 33032 33150 33280 33507 33696 34164 34425 34560 35040 35100 35360 35802 36720 37161 37230 37376 37440 37960 38400 39168 39420 39712 39780 39936 40800 41290 41472 41600 42048 42120 42432 42705 43200 43520 43800 44064 44200 44676 44928 45552 45900 46080 46720 46800 47304 47450 47736 48399 48960 49275 49548 49640 49725 49920 51246 51840 52224 52560 52650 53040 53677 54400 55080 55845 56064 56160 56576 56940 57600 58400 58752 59130 59568 59670 59904 60736 61200 61935 62050 62400 63072 63648 64532 64800 65280 65700 66064 66300 66560 67014 67392 68328 68850 69120 70080 70193 70200 70720 71175 71604 73440 74322 74460 74752 74880 75920 76800 76869 78336 78840 79424 79560 80665 81600 82580 82944 83200 84096 84240 84864 85410 86400 87040 87600 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59951841300 60186946560 62501829120 63072622080 63478420200 63948630720 65588339200 66408193440 67710314880 68211872768 69446476800 70080691200 70835406336 71942209560 72776102400 73786881600 75233683200 75687146496 76738356864 78127286400 78706007040 78840777600 79935788400 81252377856 83010241800 84637893600 85264840960 86330651472 88544257920 89927761950 90280419840 94608933120 95922946080 98382508800 100311577600 101565472320 102317809152 104169715200 105121036800 106253109504 106581051200 107913314340 108336503808 110680322400 111304627200 112850524800 115107535296 118059010560 118261166400 119903682600 125003658240 126145244160 126956840400 127897261440 131176678400 132816386880 134891642925 135420629760 141670812672 143884419120 145552204800 147573763200 150467366400 153476713728 156254572800 157681555200 159871576800 162504755712 166020483600 169275787200 170529681920 172661302944 177088515840 179855523900 180560839680 189217866240 191845892160 196765017600 203130944640 204635618304 208339430400 210242073600 212506219008 213162102400 215826628680 221360644800 225701049600 230215070592 236118021120 236522332800 239807365200 253913680800 255794522880 265632773760 269783285850 270841259520 287768838240 295147526400 300934732800 306953427456 312509145600 315363110400 319743153600 325009511424 332040967200 338551574400 341059363840 345322605888 354177031680 359711047800 378435732480 383691784320 393530035200 406261889280 425012438016 426324204800 431653257360 442721289600 451402099200 460430141184 473044665600 479614730400 507827361600 511589045760 531265547520 539566571700 541682519040 575537676480 590295052800 613906854912 625018291200 630726220800 639486307200 664081934400 677103148800 690645211776 708354063360 719422095600 767383568640 812523778560 852648409600 863306514720 885442579200 902804198400 920860282368 946089331200 959229460800 1015654723200 1023178091520 1062531095040 1079133143400 1151075352960 1180590105600 1278972614400 1328163868800 1354206297600 1381290423552 1438844191200 1534767137280 1625047557120 1705296819200 1726613029440 1770885158400 1841720564736 1892178662400 1918458921600 2031309446400 2125062190080 2158266286800 2302150705920 2557945228800 2656327737600 2708412595200 2762580847104 2877688382400 3069534274560 3453226058880 3541770316800 3836917843200 4062618892800 4316532573600 4604301411840 5115890457600 5312655475200 5525161694208 5755376764800 6906452117760 7673835686400 8125237785600 8633065147200 9208602823680 10625310950400 11510753529600 13812904235520 15347671372800 17266130294400 23021507059200 27625808471040 34532260588800 46043014118400 69064521177600 138129042355200
- Sum of all divisors σ(n): 591353564543280
- Sum of proper divisors (its aliquot sum) s(n): 453224522188080
- 138129042355200 is an abundant number, because the sum of its proper divisors (453224522188080) is greater than itself. Its abundance is 315095479832880
Bases of 138129042355200
- Binary: 111110110100000101011001000000010110100000000002
- Hexadecimal: 0x7DA0AC80B400
- Base-36: 1CYNLTFK00
Squares and roots of 138129042355200
- 138129042355200 squared (1381290423552002) is 19079632341964635562967040000
- 138129042355200 cubed (1381290423552003) is 2635451343884876916057606464741572608000000
-
The
square root of 138129042355200 is 11752831.2484779599 -
The
cube root of 138129042355200 is 51692.5948880041
Scales and comparisons
How big is 138129042355200?- 138,129,042,355,200 seconds is equal to 4,392,076 years, 14 weeks, 6 days.
-
To count from 1 to 138,129,042,355,200 would take you about ten million, nine hundred eighty thousand, one hundred ninety 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 138129042355200 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138129042355200
- 138129042355200 backwards is 002553240921831
- 138129042355200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138129042355200's digits is 45
- More coming soon!
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"Number 138129042355200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138129042355200 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138129042355200/
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The information we have on file for 138129042355200 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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