146045968432
146,045,968,432 is an even composite number composed of five prime numbers multiplied together.
146045968432 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 146045968432:
24 × 72 × 132 × 313 × 37
(2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 31 × 31 × 31 × 37)See below for interesting mathematical facts about the number 146045968432 from the Numbermatics database.
Names of 146045968432
- Cardinal: 146045968432 can be written as One hundred forty-six billion, forty-five million, nine hundred sixty-eight thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.46045968432 × 1011
Factors of 146045968432
Divisors of 146045968432
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 37 49 52 56 62 74 91 98 104 112 124 148 169 182 196 208 217 248 259 296 338 364 392 403 434 481 496 518 592 637 676 728 784 806 868 961 962 1036 1147 1183 1274 1352 1456 1519 1612 1736 1813 1922 1924 2072 2294 2366 2548 2704 2821 3038 3224 3367 3472 3626 3844 3848 4144 4588 4732 5096 5239 5642 6076 6253 6448 6727 6734 7252 7688 7696 8029 8281 9176 9464 10192 10478 11284 12152 12493 12506 13454 13468 14504 14911 15376 16058 16562 18352 18928 19747 20956 22568 23569 24304 24986 25012 26908 26936 29008 29791 29822 32116 33124 35557 36673 39494 41912 43771 45136 47089 47138 49972 50024 53816 53872 56203 59582 59644 64232 66248 71114 73346 78988 83824 87451 87542 94178 94276 99944 100048 104377 107632 112406 119164 119288 128464 132496 142228 146692 157976 162409 174902 175084 188356 188552 193843 199888 208537 208754 224812 238328 238576 248899 256711 284456 293384 306397 315952 324818 349804 350168 376712 377104 387283 387686 417074 417508 449624 462241 476656 497798 513422 568912 586768 612157 612794 649636 699608 700336 730639 753424 774566 775372 834148 835016 899248 924482 995596 1026844 1102267 1136863 1224314 1225588 1299272 1356901 1399216 1459759 1461278 1549132 1550744 1668296 1670032 1742293 1848964 1991192 2053688 2204534 2273726 2448628 2451176 2598544 2710981 2713802 2919518 2922556 3098264 3101488 3235687 3336592 3484586 3697928 3982384 4107376 4409068 4547452 4897256 4902352 5034679 5421962 5427604 5839036 5845112 6009133 6196528 6471374 6969172 7395856 7715869 7958041 8818136 9094904 9498307 9794512 10069358 10843924 10855208 11678072 11690224 12018266 12942748 13938344 14329471 15431738 15916082 17636272 18189808 18976867 18996614 20138716 21687848 21710416 22649809 23356144 24036532 25885496 27876688 28658942 30863476 31832164 35242753 37953734 37993228 40277432 42063931 43375696 45299618 48073064 51770992 54011083 57317884 61726952 63664328 70485506 75907468 75986456 80554864 84127862 90599236 96146128 100306297 108022166 114635768 123453904 127328656 140971012 151814936 151972912 168255724 181198472 186283123 200612594 216044332 229271536 246699271 281942024 294447517 303629872 336511448 362396944 372566246 401225188 432088664 493398542 563884048 588895034 673022896 702144079 745132492 802450376 864177328 986797084 1177790068 1303981861 1404288158 1490264984 1604900752 1973594168 2355580136 2607963722 2808576316 2980529968 3947188336 4711160272 5215927444 5617152632 9127873027 10431854888 11234305264 18255746054 20863709776 36511492108 73022984216 146045968432
- Sum of all divisors σ(n): 378265110912
- Sum of proper divisors (its aliquot sum) s(n): 232219142480
- 146045968432 is an abundant number, because the sum of its proper divisors (232219142480) is greater than itself. Its abundance is 86173174048
Bases of 146045968432
- Binary: 100010000000010000010010100000001100002
- Hexadecimal: 0x220104A030
- Base-36: 1V3BZYGG
Squares and roots of 146045968432
- 146045968432 squared (1460459684322) is 21329424895240740538624
- 146045968432 cubed (1460459684323) is 3115076514923044099744183380717568
-
The
square root of 146045968432 is 382159.6111992999 -
The
cube root of 146045968432 is 5266.1900028215
Scales and comparisons
How big is 146045968432?- 146,045,968,432 seconds is equal to 4,643 years, 42 weeks, 20 hours, 33 minutes, 52 seconds.
-
To count from 1 to 146,045,968,432 would take you about nine thousand, two hundred eighty-seven 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 146045968432 cubic inches would be around 438.8 feet tall.
Recreational maths with 146045968432
- 146045968432 backwards is 234869540641
- 146045968432 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 146045968432's digits is 52
- More coming soon!
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