138773141679744
138,773,141,679,744 is an even composite number composed of six prime numbers multiplied together.
What does the number 138773141679744 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138773141679744 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138773141679744:
27 × 32 × 11 × 132 × 71 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 13 × 71 × 97 × 97 × 97)See below for interesting mathematical facts about the number 138773141679744 from the Numbermatics database.
Names of 138773141679744
- Cardinal: 138773141679744 can be written as One hundred thirty-eight trillion, seven hundred seventy-three billion, one hundred forty-one million, six hundred seventy-nine thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.38773141679744 × 1014
Factors of 138773141679744
Divisors of 138773141679744
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 71 72 78 88 96 97 99 104 117 128 132 142 143 144 156 169 176 192 194 198 208 213 234 264 284 286 288 291 312 338 352 384 388 396 416 426 429 468 507 528 568 572 576 582 624 639 676 704 776 781 792 832 852 858 873 923 936 1014 1056 1067 1136 1144 1152 1164 1248 1261 1278 1287 1352 1408 1521 1552 1562 1584 1664 1704 1716 1746 1846 1859 1872 2028 2112 2134 2272 2288 2328 2343 2496 2522 2556 2574 2704 2769 3042 3104 3124 3168 3201 3408 3432 3492 3692 3718 3744 3783 4056 4224 4268 4544 4576 4656 4686 4992 5044 5112 5148 5408 5538 5577 6084 6208 6248 6336 6402 6816 6864 6887 6984 7029 7384 7436 7488 7566 8112 8307 8536 9088 9152 9312 9372 9409 9603 10088 10153 10224 10296 10816 11076 11154 11349 11999 12168 12416 12496 12672 12804 13632 13728 13774 13871 13968 14058 14768 14872 14976 15132 16224 16393 16614 16731 17072 18304 18624 18744 18818 19206 20176 20306 20448 20592 20661 21632 22152 22308 22698 23998 24336 24992 25608 27264 27456 27548 27742 27936 28116 28227 29536 29744 30264 30459 32448 32786 33228 33462 34144 35997 37248 37488 37636 38412 40352 40612 40896 41184 41322 41613 44304 44616 45396 47996 48672 49179 49984 51216 54912 55096 55484 55872 56232 56454 59072 59488 60528 60918 61983 64896 65572 66456 66924 68288 71994 74976 75272 75757 76824 80704 81224 81792 82368 82644 83226 84681 88608 89232 89531 90792 91377 95992 97344 98358 99968 102432 103499 107991 110192 110968 111744 112464 112908 118144 118976 121056 121836 122317 123966 124839 131144 131989 132912 133848 136576 143988 147537 149952 150544 151514 153648 161408 162448 164736 165288 166452 169362 177216 178464 179062 180323 181584 182754 191984 194688 196716 204864 206998 215982 220384 221936 224928 225816 227271 237952 242112 243672 244634 247932 249678 262288 263978 265824 267696 268593 287976 295074 299904 301088 303028 307296 310497 324896 330576 332904 338724 354432 356928 358124 360646 363168 365508 366951 383968 393432 395967 409728 413996 431964 440768 443872 449856 451632 454542 484224 487344 489268 495864 499356 524576 527956 531648 535392 537186 540969 575952 590148 602176 606056 614592 620994 649792 661152 665808 668039 677448 681813 713856 716248 721292 726336 731016 733902 767936 786864 791934 805779 827992 863928 881536 887744 899712 903264 909084 912673 931491 974688 978536 984841 991728 998712 1049152 1055912 1063296 1070784 1074372 1081938 1100853 1151904 1163903 1180296 1187901 1204352 1212112 1229184 1241988 1299584 1322304 1331616 1336078 1345487 1354896 1363626 1432496 1442584 1452672 1462032 1467804 1535872 1573728 1583868 1590121 1611558 1622907 1655984 1727856 1775488 1806528 1818168 1825346 1862982 1949376 1957072 1969682 1983456 1997424 2004117 2098304 2111824 2141568 2148744 2163876 2201706 2303808 2327806 2360592 2375802 2424224 2483976 2644608 2663232 2672156 2690974 2709792 2727252 2738019 2864992 2885168 2924064 2935608 2954523 3147456 3167736 3180242 3223116 3245814 3311968 3455712 3491709 3613056 3636336 3650692 3725964 3898752 3914144 3939364 3966912 3994848 4008234 4036461 4223648 4297488 4327752 4403412 4607616 4655612 4721184 4751604 4770363 4848448 4967952 5326464 5344312 5381948 5419584 5454504 5476038 5729984 5770336 5848128 5871216 5909046 6012351 6294912 6335472 6360484 6446232 6491628 6623936 6911424 6983418 7272672 7301384 7348429 7451928 7828288 7878728 7933824 7989696 8016468 8072922 8214057 8447296 8594976 8655504 8684507 8806824 8863569 9311224 9442368 9503208 9540726 9696896 9935904 10039403 10475127 10688624 10763896 10839168 10909008 10952076 11459968 11540672 11696256 11742432 11818092 11864749 12024702 12109383 12670944 12720968 12802933 12892464 12983256 13247872 13822848 13966836 14311089 14545344 14602768 14696858 14903856 15656576 15757456 15979392 16032936 16145844 16428114 16894592 17189952 17311008 17369014 17491331 17613648 17727138 18622448 18884736 19006416 19081452 19871808 20078806 20950254 21377248 21527792 21818016 21904152 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22210810128 22353921018 22809523616 24883116672 25058349888 25660714068 26956709728 27146545712 27512518176 27799106907 29614413504 29805228024 30326298444 30539863926 32514794208 32853489981 34214285424 36683357568 37065475876 37324675008 37587524832 39740304032 40435064592 40719818568 43353058944 43804653308 44421620256 44707842036 45619047232 50116699776 51321428136 53913419456 54293091424 55025036352 55598213814 59228827008 59610456048 60652596888 61079727852 65029588416 65706979962 68428570848 74130951752 74649350016 75175049664 79480608064 80870129184 81439637136 83397320721 87609306616 88843240512 89415684072 91238094464 98560469943 102642856272 107826838912 108586182848 110050072704 111196427628 119220912096 120462796597 121305193776 122159455704 130059176832 131413959924 136857141696 148261903504 150350099328 158961216128 161740258368 162879274272 166794641442 175218613232 177686481024 178831368144 197120939886 205285712544 217172365696 222392855256 238441824192 240925593194 242610387552 244318911408 262827919848 273714283392 296523807008 323480516736 325758548544 333589282884 350437226464 357662736288 361388389791 394241879772 410571425088 444785710512 476883648384 481851186388 485220775104 488637822816 525655839696 593047614016 651517097088 667178565768 700874452928 715325472576 722776779582 788483759544 821142850176 889571421024 963702372776 970441550208 977275645632 1051311679392 1084165169373 1186095228032 1334357131536 1401748905856 1430650945152 1445553559164 1576967519088 1779142842048 1927404745552 1954551291264 2102623358784 2168330338746 2668714263072 2891107118328 3153935038176 3558285684096 3854809491104 4205246717568 4336660677492 5337428526144 5782214236656 6307870076352 7709618982208 8673321354984 10674857052288 11564428473312 12615740152704 15419237964416 17346642709968 23128856946624 34693285419936 46257713893248 69386570839872 138773141679744
- Sum of all divisors σ(n): 483352605590400
- Sum of proper divisors (its aliquot sum) s(n): 344579463910656
- 138773141679744 is an abundant number, because the sum of its proper divisors (344579463910656) is greater than itself. Its abundance is 205806322230912
Bases of 138773141679744
- Binary: 111111000110110101000111101000001101110100000002
- Hexadecimal: 0x7E36A3D06E80
- Base-36: 1D6VI1JFK0
Squares and roots of 138773141679744
- 138773141679744 squared (1387731416797442) is 19257984851666301373859905536
- 138773141679744 cubed (1387731416797443) is 2672491060286651380514212746267036204662784
-
The
square root of 138773141679744 is 11780201.2580322243 -
The
cube root of 138773141679744 is 51772.8182947107
Scales and comparisons
How big is 138773141679744?- 138,773,141,679,744 seconds is equal to 4,412,556 years, 33 weeks, 6 days, 7 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,773,141,679,744 would take you about eleven million, thirty-one thousand, three hundred ninety-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 138773141679744 cubic inches would be around 4314.4 feet tall.
Recreational maths with 138773141679744
- 138773141679744 backwards is 447976141377831
- 138773141679744 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138773141679744's digits is 72
- More coming soon!
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The information we have on file for 138773141679744 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 138773141679744, math, Factors of 138773141679744, curriculum, school, college, exams, university, Prime factorization of 138773141679744, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred seventy-three billion, one hundred forty-one million, six hundred seventy-nine thousand, seven hundred forty-four.