138908143976448
138,908,143,976,448 is an even composite number composed of five prime numbers multiplied together.
138908143976448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred sixty-eight divisors.
Prime factorization of 138908143976448:
218 × 3 × 72 × 112 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 31 × 31 × 31)See below for interesting mathematical facts about the number 138908143976448 from the Numbermatics database.
Names of 138908143976448
- Cardinal: 138908143976448 can be written as One hundred thirty-eight trillion, nine hundred eight billion, one hundred forty-three million, nine hundred seventy-six thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.38908143976448 × 1014
Factors of 138908143976448
Divisors of 138908143976448
- Number of divisors d(n): 1368
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 32 33 42 44 48 49 56 62 64 66 77 84 88 93 96 98 112 121 124 128 132 147 154 168 176 186 192 196 217 224 231 242 248 256 264 294 308 336 341 352 363 372 384 392 434 448 462 484 496 512 528 539 588 616 651 672 682 704 726 744 768 784 847 868 896 924 961 968 992 1023 1024 1056 1078 1176 1232 1302 1344 1364 1408 1452 1488 1519 1536 1568 1617 1694 1736 1792 1848 1922 1936 1984 2046 2048 2112 2156 2352 2387 2464 2541 2604 2688 2728 2816 2883 2904 2976 3038 3072 3136 3234 3388 3472 3584 3696 3751 3844 3872 3968 4092 4096 4224 4312 4557 4704 4774 4928 5082 5208 5376 5456 5632 5766 5808 5929 5952 6076 6144 6272 6468 6727 6776 6944 7161 7168 7392 7502 7688 7744 7936 8184 8192 8448 8624 9114 9408 9548 9856 10164 10416 10571 10752 10912 11253 11264 11532 11616 11858 11904 12152 12288 12544 12936 13454 13552 13888 14322 14336 14784 15004 15376 15488 15872 16368 16384 16709 16896 17248 17787 18228 18816 19096 19712 20181 20328 20832 21142 21504 21824 22506 22528 23064 23232 23716 23808 24304 24576 25088 25872 26257 26908 27104 27776 28644 28672 29568 29791 30008 30752 30976 31713 31744 32736 32768 33418 33792 34496 35574 36456 37632 38192 39424 40362 40656 41664 42284 43008 43648 45012 45056 46128 46464 47089 47432 47616 48608 49152 50127 50176 51744 52514 53816 54208 55552 57288 57344 59136 59582 60016 61504 61952 63426 63488 65472 65536 66836 67584 68992 71148 72912 73997 75264 76384 78771 78848 80724 81312 83328 84568 86016 87296 89373 90024 90112 92256 92928 94178 94864 95232 97216 98304 100254 100352 103488 105028 107632 108416 111104 114576 114688 116281 118272 119164 120032 123008 123904 126852 126976 130944 131072 133672 135168 137984 141267 142296 145824 147994 150528 152768 157542 157696 161448 162624 166656 169136 172032 174592 178746 180048 180224 183799 184512 185856 188356 189728 190464 194432 196608 200508 200704 206976 208537 210056 215264 216832 221991 222208 229152 229376 232562 236544 238328 240064 246016 247808 253704 253952 261888 262144 267344 270336 275968 282534 284592 291648 295988 301056 305536 315084 315392 322896 325248 327701 333312 338272 344064 348843 349184 357492 360096 360448 367598 369024 371712 376712 379456 380928 388864 393216 401016 401408 413952 417074 420112 430528 433664 443982 444416 458304 458752 465124 473088 476656 480128 492032 495616 507408 507904 517979 523776 534688 540672 551397 551936 565068 569184 583296 591976 602112 611072 625611 630168 630784 645792 650496 655402 666624 676544 688128 697686 698368 714984 720192 720896 735196 738048 743424 753424 758912 761856 777728 786432 802032 802816 813967 827904 834148 840224 861056 867328 887964 888832 916608 917504 930248 946176 953312 960256 983103 984064 991232 1014816 1015808 1035958 1047552 1069376 1081344 1102794 1103872 1130136 1138368 1166592 1183952 1204224 1222144 1251222 1260336 1261568 1291584 1300992 1310804 1333248 1353088 1376256 1395372 1396736 1429968 1440384 1441792 1459759 1470392 1476096 1486848 1506848 1517824 1523712 1553937 1555456 1604064 1605632 1627934 1655808 1668296 1680448 1722112 1734656 1775928 1777664 1833216 1835008 1860496 1892352 1906624 1920512 1966206 1968128 1982464 2029632 2031616 2071916 2095104 2138752 2162688 2205588 2207744 2260272 2276736 2293907 2333184 2367904 2408448 2441901 2444288 2502444 2520672 2523136 2583168 2601984 2621608 2666496 2706176 2752512 2790744 2793472 2859936 2880768 2883584 2919518 2940784 2952192 2973696 3013696 3035648 3047424 3107874 3110912 3208128 3211264 3255868 3311616 3336592 3360896 3444224 3469312 3551856 3555328 3604711 3666432 3720992 3784704 3813248 3841024 3932412 3936256 3964928 4059264 4063232 4143832 4190208 4277504 4325376 4379277 4411176 4415488 4520544 4553472 4587814 4666368 4735808 4816896 4883802 4888576 5004888 5041344 5046272 5166336 5203968 5243216 5332992 5412352 5505024 5581488 5586944 5697769 5719872 5761536 5839036 5881568 5904384 5947392 6027392 6071296 6094848 6215748 6221824 6416256 6422528 6511736 6623232 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35875037184 36136353792 37032296448 37583372288 38757852672 40008105984 41000042496 42952425472 44294688768 45217494784 45723549696 46676123648 47833382912 48181805056 49328176128 50919407616 51677136896 53344141312 54666723328 56375058432 58193608704 59059585024 64428638208 65770901504 67826242176 67892543488 70014185472 71750074368 72272707584 75166744576 77515705344 80016211968 82000084992 85904850944 88589377536 90434989568 91447099392 93352247296 95666765824 98656352256 101838815232 103354273792 106688282624 112750116864 118119170048 128857276416 131541803008 135652484352 135785086976 140028370944 143500148736 144545415168 150333489152 155031410688 160032423936 164000169984 177178755072 180869979136 186704494592 191333531648 197312704512 203677630464 206708547584 213376565248 225500233728 236238340096 257714552832 263083606016 271304968704 280056741888 287000297472 300666978304 310062821376 320064847872 354357510144 361739958272 373408989184 382667063296 394625409024 407355260928 413417095168 451000467456 472476680192 526167212032 542609937408 560113483776 574000594944 601333956608 620125642752 640129695744 708715020288 723479916544 746817978368 789250818048 826834190336 902000934912 944953360384 1052334424064 1085219874816 1120226967552 1148001189888 1240251285504 1417430040576 1446959833088 1493635956736 1578501636096 1653668380672 1804001869824 2104668848128 2170439749632 2240453935104 2480502571008 2834860081152 2893919666176 3157003272192 3307336761344 4209337696256 4340879499264 4480907870208 4961005142016 5787839332352 6314006544384 6614673522688 8681758998528 9922010284032 11575678664704 12628013088768 17363517997056 19844020568064 23151357329408 34727035994112 46302714658816 69454071988224 138908143976448
- Sum of all divisors σ(n): 489418777166592
- Sum of proper divisors (its aliquot sum) s(n): 350510633190144
- 138908143976448 is an abundant number, because the sum of its proper divisors (350510633190144) is greater than itself. Its abundance is 211602489213696
Bases of 138908143976448
- Binary: 111111001010110000100101001010000000000000000002
- Hexadecimal: 0x7E5612940000
- Base-36: 1D8LIQF6DC
Squares and roots of 138908143976448
- 138908143976448 squared (1389081439764482) is 19295472462981606785578696704
- 138908143976448 cubed (1389081439764483) is 2680298266981436737274399922077607911227392
-
The
square root of 138908143976448 is 11785929.9156429739 -
The
cube root of 138908143976448 is 51789.6015233365
Scales and comparisons
How big is 138908143976448?- 138,908,143,976,448 seconds is equal to 4,416,849 years, 15 weeks, 6 days, 21 hours, 48 seconds.
-
To count from 1 to 138,908,143,976,448 would take you about eleven million, forty-two thousand, one hundred twenty-three 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 138908143976448 cubic inches would be around 4315.8 feet tall.
Recreational maths with 138908143976448
- 138908143976448 backwards is 844679341809831
- The number of decimal digits it has is: 15
- The sum of 138908143976448's digits is 75
- More coming soon!
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"Number 138908143976448 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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The information we have on file for 138908143976448 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!
Keywords: Divisors of 138908143976448, math, Factors of 138908143976448, curriculum, school, college, exams, university, Prime factorization of 138908143976448, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred eight billion, one hundred forty-three million, nine hundred seventy-six thousand, four hundred forty-eight.