132972438144
132,972,438,144 is an even composite number composed of seven prime numbers multiplied together.
132972438144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 132972438144:
27 × 3 × 7 × 13 × 192 × 83 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 19 × 19 × 83 × 127)See below for interesting mathematical facts about the number 132972438144 from the Numbermatics database.
Names of 132972438144
- Cardinal: 132972438144 can be written as One hundred thirty-two billion, nine hundred seventy-two million, four hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.32972438144 × 1011
Factors of 132972438144
Divisors of 132972438144
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 64 76 78 83 84 91 96 104 112 114 127 128 133 152 156 166 168 182 192 208 224 228 247 249 254 266 273 304 312 332 336 361 364 381 384 399 416 448 456 494 498 508 532 546 581 608 624 664 672 722 728 741 762 798 832 889 896 912 988 996 1016 1064 1079 1083 1092 1162 1216 1248 1328 1344 1444 1456 1482 1524 1577 1596 1651 1664 1729 1743 1778 1824 1976 1992 2032 2128 2158 2166 2184 2324 2413 2432 2496 2527 2656 2667 2688 2888 2912 2964 3048 3154 3192 3237 3302 3458 3486 3556 3648 3952 3984 4064 4256 4316 4332 4368 4648 4693 4731 4826 4953 4992 5054 5187 5312 5334 5776 5824 5928 6096 6308 6384 6474 6604 6916 6972 7112 7239 7296 7553 7581 7904 7968 8128 8512 8632 8664 8736 9296 9386 9462 9652 9906 10108 10374 10541 10624 10668 11039 11552 11557 11648 11856 12192 12616 12768 12948 13208 13832 13944 14079 14224 14478 15106 15162 15808 15936 16256 16891 17024 17264 17328 17472 18592 18772 18924 19304 19812 20216 20501 20748 21082 21336 22078 22659 23104 23114 23712 24384 25232 25536 25896 26416 27664 27888 28158 28448 28956 29963 30212 30324 31369 31616 31623 31872 32851 33117 33782 34528 34656 34671 34944 37184 37544 37848 38608 39624 40432 41002 41496 42164 42672 44156 45318 45847 46208 46228 47424 48768 50464 50673 51072 51792 52832 55328 55776 56316 56896 57912 59926 60424 60648 61503 62738 63246 65702 66234 67564 69056 69312 69342 73787 74368 75088 75696 77216 79248 80864 82004 82992 84328 85344 88312 89889 90636 91694 92456 94107 94848 98553 100928 101346 103584 105664 110656 111552 112632 113792 115824 119852 120848 121296 123006 125476 126492 131404 132468 135128 137033 137541 138112 138624 138684 143507 147574 150176 151392 154432 158496 161728 164008 165984 168656 170688 176624 179778 181272 183388 184912 188214 197106 200279 201856 202692 207168 209741 211328 219583 221312 221361 223104 225264 231648 239704 241696 242592 246012 250952 252984 262808 264936 270256 274066 275082 277368 287014 295148 300352 302784 308864 316992 320929 323456 328016 331968 337312 341376 353248 359556 362544 366776 369824 376428 389519 394212 400558 405384 411099 414336 419482 430521 439166 442722 450528 463296 479408 483392 485184 492024 501904 505968 525616 529872 540512 548132 550164 554736 574028 590296 596011 600704 600837 605568 629223 633984 641858 656032 658749 663936 674624 706496 719112 725088 733552 739648 752856 779038 788424 801116 810768 822198 838964 861042 878332 885444 901056 926592 958816 959231 962787 966784 970368 984048 1003808 1011936 1051232 1059744 1081024 1096264 1100328 1109472 1148056 1168557 1180592 1192022 1201674 1258446 1283716 1312064 1317498 1349248 1401953 1412992 1438224 1450176 1467104 1479296 1505712 1558076 1576848 1602232 1621536 1644396 1677928 1722084 1756664 1770888 1788033 1802112 1917632 1918462 1925574 1968096 2007616 2023872 2102464 2119488 2162048 2192528 2200656 2218944 2296112 2337114 2361184 2384044 2403348 2516892 2567432 2603627 2624128 2634996 2726633 2803906 2876448 2877693 2900352 2934208 3011424 3116152 3153696 3204464 3243072 3288792 3355856 3444168 3513328 3541776 3576066 3805301 3835264 3836924 3851148 3936192 4015232 4047744 4172077 4204928 4205859 4238976 4385056 4401312 4437888 4592224 4674228 4722368 4768088 4806696 5033784 5134864 5207254 5269992 5453266 5607812 5752896 5755386 5868416 6022848 6232304 6307392 6408928 6486144 6577584 6711712 6888336 7026656 7083552 7152132 7610602 7673848 7702296 7810881 7872384 8179899 8344154 8411718 8770112 8802624 9184448 9348456 9444736 9536176 9613392 10067568 10269728 10414508 10539984 10906532 11215624 11415903 11505792 11510772 12045696 12464608 12516231 12614784 12817856 13155168 13423424 13776672 14053312 14167104 14304264 15221204 15347696 15404592 15621762 16359798 16688308 16823436 17540224 17605248 18225389 18368896 18696912 19072352 19226784 20135136 20539456 20829016 21079968 21813064 22431248 22831806 23021544 24929216 25032462 25635712 26310336 26637107 26846848 27553344 28106624 28334208 28608528 30442408 30695392 30809184 31243524 32719596 33376616 33646872 36450778 37393824 38144704 38453568 40270272 41078912 41658032 42159936 43626128 44862496 45663612 46043088 49468913 49858432 50064924 52620672 53274214 54676167 55106688 57217056 60884816 61390784 61618368 62487048 65439192 66753232 67293744 72901556 74787648 76289408 76907136 79911321 80540544 83316064 84319872 87252256 89724992 91327224 92086176 98937826 100129848 106548428 109352334 114434112 121769632 122781568 123236736 124974096 130878384 133506464 134587488 145803112 148406739 149575296 159822642 166632128 174504512 179449984 182654448 184172352 197875652 200259696 213096856 218704668 228868224 243539264 249948192 261756768 267012928 269174976 291606224 296813478 319645284 333264256 346282391 349009024 365308896 368344704 395751304 400519392 426193712 437409336 487078528 499896384 523513536 534025856 538349952 583212448 593626956 639290568 692564782 730617792 791502608 801038784 852387424 874818672 999792768 1038847173 1047027072 1166424896 1187253912 1278581136 1385129564 1461235584 1583005216 1602077568 1704774848 1749637344 2077694346 2332849792 2374507824 2557162272 2770259128 3166010432 3409549696 3499274688 4155388692 4749015648 5114324544 5540518256 6332020864 6998549376 8310777384 9498031296 10228649088 11081036512 16621554768 18996062592 22162073024 33243109536 44324146048 66486219072 132972438144
- Sum of all divisors σ(n): 467985530880
- Sum of proper divisors (its aliquot sum) s(n): 335013092736
- 132972438144 is an abundant number, because the sum of its proper divisors (335013092736) is greater than itself. Its abundance is 202040654592
Bases of 132972438144
- Binary: 11110111101011100011001100010100000002
- Hexadecimal: 0x1EF5C66280
- Base-36: 1P34CTXC
Squares and roots of 132972438144
- 132972438144 squared (1329724381442) is 17681669305959906164736
- 132972438144 cubed (1329724381443) is 2351174678069417033034402034089984
-
The
square root of 132972438144 is 364653.8607282253 -
The
cube root of 132972438144 is 5104.1160945543
Scales and comparisons
How big is 132972438144?- 132,972,438,144 seconds is equal to 4,228 years, 5 weeks, 5 days, 20 hours, 22 minutes, 24 seconds.
-
To count from 1 to 132,972,438,144 would take you about eight thousand, four hundred fifty-six 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 132972438144 cubic inches would be around 425.3 feet tall.
Recreational maths with 132972438144
- 132972438144 backwards is 441834279231
- 132972438144 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132972438144's digits is 48
- More coming soon!
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The information we have on file for 132972438144 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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