137932270722048
137,932,270,722,048 is an even composite number composed of eight prime numbers multiplied together.
137932270722048 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 137932270722048:
210 × 3 × 11 × 29 × 31 × 37 × 412 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 29 × 31 × 37 × 41 × 41 × 73)See below for interesting mathematical facts about the number 137932270722048 from the Numbermatics database.
Names of 137932270722048
- Cardinal: 137932270722048 can be written as One hundred thirty-seven trillion, nine hundred thirty-two billion, two hundred seventy million, seven hundred twenty-two thousand and forty-eight.
Scientific notation
- Scientific notation: 1.37932270722048 × 1014
Factors of 137932270722048
Divisors of 137932270722048
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 29 31 32 33 37 41 44 48 58 62 64 66 73 74 82 87 88 93 96 111 116 123 124 128 132 146 148 164 174 176 186 192 219 222 232 246 248 256 264 292 296 319 328 341 348 352 372 384 407 438 444 451 464 492 496 512 528 584 592 638 656 682 696 704 744 768 803 814 876 888 899 902 928 957 984 992 1023 1024 1056 1073 1147 1168 1184 1189 1221 1271 1276 1312 1353 1364 1392 1408 1488 1517 1536 1606 1628 1681 1752 1776 1798 1804 1856 1914 1968 1984 2046 2112 2117 2146 2263 2294 2336 2368 2378 2409 2442 2542 2552 2624 2697 2701 2706 2728 2784 2816 2976 2993 3034 3072 3212 3219 3256 3362 3441 3504 3552 3567 3596 3608 3712 3813 3828 3936 3968 4092 4224 4234 4292 4526 4551 4588 4672 4736 4756 4818 4884 5043 5084 5104 5248 5394 5402 5412 5456 5568 5632 5952 5986 6068 6351 6424 6438 6512 6724 6789 6882 7008 7104 7134 7192 7216 7424 7626 7656 7872 7936 8103 8184 8448 8468 8584 8979 9052 9102 9176 9344 9472 9512 9636 9768 9889 10086 10168 10208 10496 10788 10804 10824 10912 11136 11264 11803 11904 11972 12136 12617 12702 12848 12876 13024 13079 13448 13578 13764 13981 14016 14208 14268 14384 14432 14848 15252 15312 15744 15872 16206 16368 16687 16896 16936 17168 17958 18104 18204 18352 18491 18688 18944 19024 19272 19536 19778 20172 20336 20416 20992 21576 21608 21648 21824 22272 23287 23606 23808 23944 24272 24893 25234 25404 25696 25752 26048 26158 26896 27156 27528 27962 28032 28416 28536 28768 28864 29667 29696 29711 30504 30624 31488 31744 32412 32736 32923 33263 33374 33792 33872 34336 35409 35916 36208 36408 36704 36859 36982 37376 37851 37888 38048 38544 39072 39237 39556 40344 40672 40832 41943 41984 43152 43216 43296 43648 43993 44544 46574 47027 47212 47616 47888 48544 48749 49786 50061 50468 50808 51392 51504 52096 52111 52316 53792 54312 55056 55473 55924 56064 56832 57072 57536 57728 59334 59422 61008 61248 62197 62976 64824 65472 65627 65846 66526 66748 67744 68672 69861 70818 71832 72416 72816 73408 73718 73964 74679 74752 75702 76096 77088 78144 78329 78474 79112 80688 81344 81664 83731 83886 86304 86432 86592 86797 87296 87986 89088 89133 92783 93148 94054 94424 95232 95776 97088 97498 98769 99572 99789 100122 100936 101616 102784 103008 104192 104222 104632 107584 108624 110112 110577 110741 110946 111848 112128 113664 114144 115072 115456 118668 118844 122016 122496 122713 124394 125952 129648 130944 131254 131692 131979 133052 133496 135488 137344 139722 141081 141636 143664 144832 145632 146247 146816 147436 147928 149358 151404 152192 154176 156288 156333 156658 156948 158224 161376 162688 163328 167462 167772 172608 172864 173184 173594 174592 175972 178266 185566 186296 186591 188108 188848 191552 194176 194996 196881 197538 199144 199578 200244 201872 203232 205568 206016 208384 208444 209264 215168 217248 220224 221154 221482 221892 223696 224256 228288 230144 230912 234987 237336 237688 244032 244992 245426 248788 251193 259296 260391 261888 262508 263384 263958 266104 266992 270976 274688 278349 279444 282162 283272 287328 289664 291264 292494 293632 294872 295856 298716 302808 304384 308352 312576 312666 313316 313896 316448 322752 325376 326656 332223 334924 335544 345216 345728 346368 347188 349184 351944 356532 365893 368139 371132 372592 373182 376216 377696 383104 388352 389992 393762 395076 398288 399156 400488 403744 405449 406464 411136 412032 416768 416888 418528 430336 434496 440448 442308 442964 443784 447392 456576 460288 461824 469974 474672 475376 483923 488064 489984 490852 497576 502386 517297 518592 520782 523776 525016 526768 527916 532208 533984 536239 541952 549376 556698 558888 564324 566544 573221 574656 579328 582528 584988 587264 589744 591712 597432 605616 608768 616704 625152 625332 626632 627792 632896 645504 650752 664446 669848 671088 684167 690432 691456 692736 694376 703888 713064 721897 731786 736278 742264 745184 746364 752432 755392 766208 776704 779984 787524 790152 796576 798312 800976 807488 810898 812928 822272 824064 833776 837056 860672 861619 868992 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1233211776 1243237888 1245539328 1247386624 1252654304 1269813952 1282089072 1318260864 1323446784 1323827844 1339044256 1341962472 1357387328 1366531968 1377641984 1382239232 1385251584 1396513792 1414718976 1420693296 1440154848 1448381539 1460775552 1466522112 1480786176 1486611456 1547488256 1548269921 1567661568 1580052588 1589136384 1592898544 1595847264 1598214112 1644282368 1647326208 1689021732 1695666192 1709452096 1743506304 1757681152 1760934912 1765103792 1789283296 1812608688 1822042624 1845198399 1847002112 1864856832 1871079936 1878981456 1894257728 1904720928 1920206464 1947700736 1974381568 2008566384 2036080992 2066462976 2073358848 2094770688 2101761024 2106736784 2127796352 2190235498 2217667584 2252028976 2260888256 2321232384 2324675072 2389347816 2397321168 2416811584 2427017714 2460264532 2466423552 2486475776 2505308608 2539627904 2564178144 2636521728 2646893568 2647655688 2678088512 2683924944 2714774656 2733063936 2755283968 2770503168 2829437952 2841386592 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29124212568 29523174384 30063703296 30308123648 30475534848 32137062144 32577295872 32654420152 33707788544 34761156936 35043767968 36032463616 36174212096 37158478104 38229565056 38357138688 38668985344 38832283424 39364232512 40084937728 41026850304 42362491008 42849416192 42942799104 44899827709 45462185472 46084955136 46348209248 48981630228 49544637472 50561682816 50972753408 51067112448 51142851584 52565651952 54048695424 54261318144 56483321344 57257065472 58003478016 58248425136 59046348768 60127406592 60951069696 64274124288 65154591744 65308840304 67415577088 69522313872 70087535936 72064927232 74316956208 76459130112 76714277376 77664566848 78728465024 82053700608 84724982016 85885598208 89799655418 90924370944 92696418496 97963260456 99089274944 101123365632 101945506816 105131303904 108097390848 108522636288 112966642688 116006956032 116496850272 118092697536 120254813184 128548248576 130617680608 134699483127 134831154176 139044627744 140175071872 144129854464 148633912416 152918260224 153428554752 155329133696 157456930048 169449964032 171771196416 179599310836 185392836992 195926520912 198178549888 202246731264 210262607808 216194781696 232993700544 236185395072 261235361216 269398966254 278089255488 280350143744 297267824832 305836520448 310658267392 314913860096 338899928064 359198621672 370785673984 391853041824 396357099776 404493462528 420525215616 432389563392 465987401088 472370790144 522470722432 538797932508 556178510976 560700287488 594535649664 621316534784 629827720192 718397243344 741571347968 783706083648 792714199552 841050431232 931974802176 944741580288 1044941444864 1077595865016 1112357021952 1121400574976 1189071299328 1242633069568 1436794486688 1483142695936 1567412167296 1585428399104 1682100862464 1863949604352 1889483160576 2089882889728 2155191730032 2224714043904 2378142598656 2873588973376 3134824334592 3364201724928 3727899208704 4179765779456 4310383460064 4449428087808 4756285197312 5747177946752 6269648669184 8620766920128 11494355893504 12539297338368 17241533840256 22988711787008 34483067680512 45977423574016 68966135361024 137932270722048
- Sum of all divisors σ(n): 457015475957760
- Sum of proper divisors (its aliquot sum) s(n): 319083205235712
- 137932270722048 is an abundant number, because the sum of its proper divisors (319083205235712) is greater than itself. Its abundance is 181150934513664
Bases of 137932270722048
- Binary: 111110101110010110110111111111111011100000000002
- Hexadecimal: 0x7D72DBFFDC00
- Base-36: 1CW57KOK5C
Squares and roots of 137932270722048
- 137932270722048 squared (1379322707220482) is 19025311306540339899273314304
- 137932270722048 cubed (1379322707220483) is 2624204389704962907143178935964688126574592
-
The
square root of 137932270722048 is 11744457.0211673901 -
The
cube root of 137932270722048 is 51668.0370060655
Scales and comparisons
How big is 137932270722048?- 137,932,270,722,048 seconds is equal to 4,385,819 years, 28 weeks, 6 days, 13 hours, 48 seconds.
-
To count from 1 to 137,932,270,722,048 would take you about ten million, nine hundred sixty-four thousand, five hundred forty-eight 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 137932270722048 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137932270722048
- 137932270722048 backwards is 840227072239731
- The number of decimal digits it has is: 15
- The sum of 137932270722048's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 137932270722048 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 137932270722048 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137932270722048/
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Numbermatics. 2024. "Number 137932270722048 - Facts about the integer". https://numbermatics.com/n/137932270722048/
The information we have on file for 137932270722048 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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