137222033375232
137,222,033,375,232 is an even composite number composed of five prime numbers multiplied together.
What does the number 137222033375232 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
137222033375232 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137222033375232:
217 × 35 × 133 × 37 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 37 × 53)See below for interesting mathematical facts about the number 137222033375232 from the Numbermatics database.
Names of 137222033375232
- Cardinal: 137222033375232 can be written as One hundred thirty-seven trillion, two hundred twenty-two billion, thirty-three million, three hundred seventy-five thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.37222033375232 × 1014
Factors of 137222033375232
Divisors of 137222033375232
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 53 54 64 72 74 78 81 96 104 106 108 111 117 128 144 148 156 159 162 169 192 208 212 216 222 234 243 256 288 296 312 318 324 333 338 351 384 416 424 432 444 468 477 481 486 507 512 576 592 624 636 648 666 676 689 702 768 832 848 864 888 936 954 962 972 999 1014 1024 1053 1152 1184 1248 1272 1296 1332 1352 1378 1404 1431 1443 1521 1536 1664 1696 1728 1776 1872 1908 1924 1944 1961 1998 2028 2048 2067 2106 2197 2304 2368 2496 2544 2592 2664 2704 2756 2808 2862 2886 2997 3042 3072 3159 3328 3392 3456 3552 3744 3816 3848 3888 3922 3996 4056 4096 4134 4212 4293 4329 4394 4563 4608 4736 4992 5088 5184 5328 5408 5512 5616 5724 5772 5883 5994 6084 6144 6201 6253 6318 6591 6656 6784 6912 7104 7488 7632 7696 7776 7844 7992 8112 8192 8268 8424 8586 8658 8788 8957 8991 9126 9216 9472 9984 10176 10368 10656 10816 11024 11232 11448 11544 11766 11988 12168 12288 12402 12506 12636 12879 12987 13182 13312 13568 13689 13824 14208 14976 15264 15392 15552 15688 15984 16224 16384 16536 16848 17172 17316 17576 17649 17914 17982 18252 18432 18603 18759 18944 19773 19968 20352 20736 21312 21632 22048 22464 22896 23088 23532 23976 24336 24576 24804 25012 25272 25493 25758 25974 26364 26624 26871 27136 27378 27648 28416 29952 30528 30784 31104 31376 31968 32448 32768 33072 33696 34344 34632 35152 35298 35828 35964 36504 36864 37206 37518 37888 38961 39546 39936 40704 41067 41472 42624 43264 44096 44928 45792 46176 47064 47952 48672 49152 49608 50024 50544 50986 51516 51948 52728 52947 53248 53742 54272 54756 55296 55809 56277 56832 59319 59904 61056 61568 62208 62752 63936 64896 65536 66144 67392 68688 69264 70304 70596 71656 71928 73008 73728 74412 75036 75776 76479 77922 79092 79872 80613 81289 81408 82134 82944 85248 86528 88192 89856 91584 92352 94128 95904 97344 98304 99216 100048 101088 101972 103032 103896 105456 105894 106496 107484 108544 109512 110592 111618 112554 113664 116441 116883 118638 119808 122112 123136 124416 125504 127872 129792 131072 132288 134784 137376 138528 140608 141192 143312 143856 146016 147456 148824 150072 151552 152958 155844 158184 158841 159744 161226 162578 162816 164268 165888 167427 168831 170496 173056 176384 177957 179712 183168 184704 188256 191808 194688 196608 198432 200096 202176 203944 206064 207792 210912 211788 212992 214968 217088 219024 221184 223236 225108 227328 229437 232882 233766 237276 239616 241839 243867 244224 246272 248832 251008 255744 259584 264576 269568 274752 277056 281216 282384 286624 287712 292032 294912 297648 300144 303104 305916 311688 316368 317682 319488 322452 325156 325632 328536 331409 331776 334854 337662 340992 346112 349323 352768 355914 359424 366336 369408 376512 383616 389376 393216 396864 400192 404352 407888 412128 415584 421824 423576 425984 429936 434176 438048 442368 446472 450216 454656 458874 465764 467532 474552 476523 479232 483678 487734 488448 492544 497664 502016 506493 511488 519168 529152 533871 539136 549504 554112 562432 564768 573248 575424 584064 589824 595296 600288 606208 611832 623376 632736 635364 638976 644904 650312 651264 657072 662818 663552 669708 675324 681984 688311 692224 698646 705536 711828 718848 725517 731601 732672 738816 753024 767232 778752 793728 800384 808704 815776 824256 831168 843648 847152 851968 859872 868352 876096 884736 892944 900432 909312 917748 931528 935064 949104 953046 958464 967356 975468 976896 985088 994227 995328 1004032 1012986 1022976 1038336 1047969 1058304 1067742 1078272 1099008 1108224 1124864 1129536 1146496 1150848 1168128 1179648 1190592 1200576 1212416 1223664 1246752 1265472 1270728 1277952 1289808 1300624 1302528 1314144 1325636 1327104 1339416 1350648 1363968 1376622 1384448 1397292 1411072 1423656 1437696 1451034 1463202 1465344 1477632 1506048 1519479 1534464 1557504 1587456 1600768 1617408 1631552 1648512 1662336 1687296 1694304 1703936 1719744 1736704 1752192 1769472 1785888 1800864 1818624 1835496 1863056 1870128 1898208 1906092 1916928 1934712 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35293732864 35660611584 35959652352 36651184128 38632329216 39705449472 40454608896 41232582144 43438440448 44668630656 45109149696 45786464256 47547482112 47946203136 48868245504 49790287872 50747793408 51509772288 52940599296 53939478528 54976776192 57948493824 59558174208 62458822656 65157660672 66387050496 67002945984 67663724544 68679696384 69975539712 70587465728 71321223168 71919304704 73302368256 77264658432 79410898944 80909217792 82465164288 89337261312 90218299392 95094964224 95892406272 97736491008 99580575744 101495586816 103019544576 105881198592 107878957056 109953552384 115896987648 119116348416 130315321344 134005891968 135327449088 137359392768 141174931456 142642446336 143838609408 146604736512 154529316864 158821797888 161818435584 164930328576 178674522624 195472982016 199161151488 202991173632 206039089152 211762397184 215757914112 219907104768 231793975296 238232696832 268011783936 270654898176 282349862912 285284892672 287677218816 293209473024 309058633728 317643595776 323636871168 329860657152 357349045248 390945964032 405982347264 412078178304 423524794368 431515828224 439814209536 463587950592 476465393664 536023567872 564699725824 586418946048 618117267456 635287191552 647273742336 659721314304 714698090496 811964694528 847049588736 863031656448 879628419072 927175901184 952930787328 1072047135744 1172837892096 1236234534912 1270574383104 1294547484672 1319442628608 1429396180992 1694099177472 1759256838144 1854351802368 1905861574656 2144094271488 2541148766208 2589094969344 2638885257216 2858792361984 3518513676288 3708703604736 3811723149312 4288188542976 5082297532416 5277770514432 5717584723968 7623446298624 8576377085952 10555541028864 11435169447936 15246892597248 17152754171904 22870338895872 34305508343808 45740677791744 68611016687616 137222033375232
- Sum of all divisors σ(n): 466008633155520
- Sum of proper divisors (its aliquot sum) s(n): 328786599780288
- 137222033375232 is an abundant number, because the sum of its proper divisors (328786599780288) is greater than itself. Its abundance is 191564566405056
Bases of 137222033375232
- Binary: 111110011001101011111101000111000000000000000002
- Hexadecimal: 0x7CCD7E8E0000
- Base-36: 1CN2XJPC00
Squares and roots of 137222033375232
- 137222033375232 squared (1372220333752322) is 18829886443633284914111053824
- 137222033375232 cubed (1372220333752323) is 2583875306020075212399953958393423140487168
-
The
square root of 137222033375232 is 11714180.8665920811 -
The
cube root of 137222033375232 is 51579.2017736035
Scales and comparisons
How big is 137222033375232?- 137,222,033,375,232 seconds is equal to 4,363,236 years, 10 weeks, 4 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 137,222,033,375,232 would take you about ten million, nine hundred eight thousand and 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 137222033375232 cubic inches would be around 4298.3 feet tall.
Recreational maths with 137222033375232
- 137222033375232 backwards is 232573330222731
- The number of decimal digits it has is: 15
- The sum of 137222033375232's digits is 45
- More coming soon!
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"Number 137222033375232 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 137222033375232 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/137222033375232/
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The information we have on file for 137222033375232 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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