145401984
145,401,984 is an even composite number composed of six prime numbers multiplied together.
145401984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 145401984:
27 × 32 × 7 × 13 × 19 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 19 × 73)See below for interesting mathematical facts about the number 145401984 from the Numbermatics database.
Names of 145401984
- Cardinal: 145401984 can be written as One hundred forty-five million, four hundred one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.45401984 × 108
Factors of 145401984
Divisors of 145401984
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 38 39 42 48 52 56 57 63 64 72 73 76 78 84 91 96 104 112 114 117 126 128 133 144 146 152 156 168 171 182 192 208 219 224 228 234 247 252 266 273 288 292 304 312 336 342 364 384 399 416 438 448 456 468 494 504 511 532 546 576 584 608 624 657 672 684 728 741 798 819 832 876 896 912 936 949 988 1008 1022 1064 1092 1152 1168 1197 1216 1248 1314 1344 1368 1387 1456 1482 1533 1596 1638 1664 1729 1752 1824 1872 1898 1976 2016 2044 2128 2184 2223 2336 2394 2432 2496 2628 2688 2736 2774 2847 2912 2964 3066 3192 3276 3458 3504 3648 3744 3796 3952 4032 4088 4161 4256 4368 4446 4599 4672 4788 4992 5187 5256 5472 5548 5694 5824 5928 6132 6384 6552 6643 6916 7008 7296 7488 7592 7904 8064 8176 8322 8512 8541 8736 8892 9198 9344 9576 9709 10374 10512 10944 11096 11388 11648 11856 12264 12483 12768 13104 13286 13832 14016 14976 15184 15561 15808 16352 16644 17024 17082 17472 17784 18031 18396 19152 19418 19929 20748 21024 21888 22192 22776 23712 24528 24966 25536 26208 26572 27664 28032 29127 30368 31122 31616 32704 33288 34164 34944 35568 36062 36792 38304 38836 39858 41496 42048 44384 45552 47424 49056 49932 51072 52416 53144 54093 55328 58254 59787 60736 62244 65408 66576 68328 71136 72124 73584 76608 77672 79716 82992 84096 87381 88768 91104 94848 98112 99864 104832 106288 108186 110656 116508 119574 121472 124488 126217 133152 136656 142272 144248 147168 153216 155344 159432 162279 165984 174762 177536 182208 196224 199728 212576 216372 221312 233016 239148 248976 252434 266304 273312 284544 288496 294336 310688 318864 324558 331968 349524 364416 378651 399456 425152 432744 466032 478296 497952 504868 532608 546624 576992 588672 621376 637728 649116 663936 699048 757302 798912 850304 865488 932064 956592 995904 1009736 1093248 1135953 1153984 1242752 1275456 1298232 1398096 1514604 1597824 1730976 1864128 1913184 1991808 2019472 2271906 2307968 2550912 2596464 2796192 3029208 3461952 3728256 3826368 4038944 4543812 5192928 5592384 6058416 6923904 7652736 8077888 9087624 10385856 11184768 12116832 16155776 18175248 20771712 24233664 36350496 48467328 72700992 145401984
- Sum of all divisors σ(n): 549494400
- Sum of proper divisors (its aliquot sum) s(n): 404092416
- 145401984 is an abundant number, because the sum of its proper divisors (404092416) is greater than itself. Its abundance is 258690432
Bases of 145401984
- Binary: 10001010101010101000100000002
- Hexadecimal: 0x8AAA880
- Base-36: 2EKGW0
Squares and roots of 145401984
- 145401984 squared (1454019842) is 21141736951136256
- 145401984 cubed (1454019843) is 3074050497901322676731904
-
The
square root of 145401984 is 12058.2745034271 -
The
cube root of 145401984 is 525.8438239613
Scales and comparisons
How big is 145401984?- 145,401,984 seconds is equal to 4 years, 32 weeks, 2 days, 21 hours, 26 minutes, 24 seconds.
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To count from 1 to 145,401,984 would take you about 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 145401984 cubic inches would be around 43.8 feet tall.
Recreational maths with 145401984
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