830144952
830,144,952 is an even composite number composed of seven prime numbers multiplied together.
830144952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 830144952:
23 × 32 × 7 × 13 × 17 × 29 × 257
(2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 29 × 257)See below for interesting mathematical facts about the number 830144952 from the Numbermatics database.
Names of 830144952
- Cardinal: 830144952 can be written as Eight hundred thirty million, one hundred forty-four thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 8.30144952 × 108
Factors of 830144952
Divisors of 830144952
- 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 17 18 21 24 26 28 29 34 36 39 42 51 52 56 58 63 68 72 78 84 87 91 102 104 116 117 119 126 136 153 156 168 174 182 203 204 221 232 234 238 252 257 261 273 306 312 348 357 364 377 406 408 442 468 476 493 504 514 522 546 609 612 663 696 714 728 754 771 812 819 884 936 952 986 1028 1044 1071 1092 1131 1218 1224 1326 1428 1479 1508 1542 1547 1624 1638 1768 1799 1827 1972 1989 2056 2088 2142 2184 2262 2313 2436 2639 2652 2856 2958 3016 3084 3094 3276 3341 3393 3451 3598 3654 3944 3978 4284 4369 4437 4524 4626 4641 4872 5278 5304 5397 5916 6168 6188 6409 6552 6682 6786 6902 7196 7308 7453 7917 7956 8568 8738 8874 9048 9252 9282 10023 10353 10556 10794 11832 12376 12818 13107 13364 13572 13804 13923 14392 14616 14906 15834 15912 16191 17476 17748 18504 18564 19227 20046 20706 21112 21588 22359 23387 23751 25636 26214 26728 27144 27608 27846 29812 30069 30583 31059 31668 32382 34952 35496 37128 38454 39321 40092 41412 43176 44718 44863 46774 47502 51272 52171 52428 55692 56797 57681 59624 60138 61166 62118 63336 64764 67077 70161 76908 78642 80184 82824 89436 89726 91749 93548 95004 96889 104342 104856 111384 113594 115362 120276 122332 124236 126701 129528 134154 134589 140322 153816 156513 157284 170391 178872 179452 183498 187096 190008 193778 208684 210483 227188 230724 240552 244664 248472 253402 268308 269178 275247 280644 290667 313026 314568 340782 358904 366996 380103 387556 397579 403767 417368 420966 454376 461448 469539 506804 511173 536616 538356 550494 561288 581334 626052 678223 681564 733992 760206 775112 795158 807534 841932 872001 886907 939078 1013608 1022346 1076712 1100988 1140309 1162668 1192737 1252104 1356446 1363128 1520412 1590316 1615068 1647113 1683864 1744002 1773814 1878156 2034669 2044692 2201976 2280618 2325336 2385474 2660721 2712892 3040824 3180632 3230136 3294226 3488004 3547628 3578211 3756312 4069338 4089384 4561236 4770948 4941339 5321442 5425784 6104007 6588452 6976008 7095256 7156422 7982163 8138676 9122472 9541896 9882678 10642884 11529791 12208014 13176904 14312844 14824017 15964326 16277352 19765356 21285768 23059582 24416028 28625688 29648034 31928652 34589373 39530712 46119164 48832056 59296068 63857304 69178746 92238328 103768119 118592136 138357492 207536238 276714984 415072476 830144952
- Sum of all divisors σ(n): 3042748800
- Sum of proper divisors (its aliquot sum) s(n): 2212603848
- 830144952 is an abundant number, because the sum of its proper divisors (2212603848) is greater than itself. Its abundance is 1382458896
Bases of 830144952
- Binary: 1100010111101100000001101110002
- Hexadecimal: 0x317B01B8
- Base-36: DQ8VY0
Squares and roots of 830144952
- 830144952 squared (8301449522) is 689140641331082304
- 830144952 cubed (8301449523) is 572086624619040535362129408
-
The
square root of 830144952 is 28812.2361506357 -
The
cube root of 830144952 is 939.8343423181
Scales and comparisons
How big is 830144952?- 830,144,952 seconds is equal to 26 years, 20 weeks, 4 days, 3 hours, 49 minutes, 12 seconds.
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To count from 1 to 830,144,952 would take you about thirty-nine 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 830144952 cubic inches would be around 78.3 feet tall.
Recreational maths with 830144952
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