46964827728

Names of 46964827728

• Cardinal: 46964827728 can be written as Forty-six billion, nine hundred sixty-four million, eight hundred twenty-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.6964827728 × 10¹⁰

Factors of 46964827728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 68

Divisors of 46964827728

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 43 48 49 52 54 56 63 72 78 81 84 86 91 98 104 108 112 117 126 129 144 147 156 162 168 172 182 189 196 208 216 234 243 252 258 273 294 301 312 324 336 343 344 351 364 378 387 392 432 441 468 486 504 516 546 559 567 588 602 624 637 648 686 688 702 728 729 756 774 784 819 882 903 936 972 1008 1029 1032 1053 1092 1118 1134 1161 1176 1204 1274 1296 1323 1372 1404 1456 1458 1512 1548 1638 1677 1701 1764 1806 1872 1911 1944 2058 2064 2106 2107 2184 2187 2236 2268 2322 2352 2401 2408 2457 2548 2646 2709 2744 2808 2916 3024 3087 3096 3159 3276 3354 3402 3483 3528 3612 3822 3888 3913 3969 4116 4212 4214 4368 4374 4459 4472 4536 4644 4802 4816 4914 5031 5096 5103 5292 5418 5488 5616 5733 5832 6174 6192 6318 6321 6552 6708 6804 6966 7056 7203 7224 7371 7644 7826 7938 8127 8232 8424 8428 8748 8918 8944 9072 9261 9288 9477 9604 9828 10062 10192 10206 10449 10584 10836 11466 11664 11739 11907 12348 12636 12642 13104 13377 13416 13608 13932 14406 14448 14742 14749 15093 15288 15309 15652 15876 16254 16464 16848 16856 17199 17496 17836 18522 18576 18954 18963 19208 19656 20124 20412 20898 21168 21609 21672 22113 22932 23478 23814 24381 24696 25272 25284 26754 26832 27216 27391 27783 27864 28431 28812 29484 29498 30186 30576 30618 31213 31304 31347 31752 32508 33712 34398 34992 35217 35672 35721 37044 37908 37926 38416 39312 40131 40248 40824 41796 43218 43344 44226 44247 45279 45864 46956 47628 48762 49392 50544 50568 51597 53508 54782 55566 55728 56862 56889 57624 58968 58996 60372 61236 62426 62608 62694 63504 64827 65016 66339 68796 70434 71344 71442 73143 74088 75816 75852 80262 80496 81648 82173 83349 83592 86436 88452 88494 90558 91728 93639 93912 94041 95256 97524 101136 103194 103243 105651 107016 107163 109564 111132 113724 113778 115248 117936 117992 120393 120744 122472 124852 125388 129654 130032 132678 132741 135837 137592 140868 142884 146286 148176 151632 151704 154791 160524 164346 166698 167184 170667 172872 176904 176988 181116 187278 187824 188082 190512 191737 194481 195048 199017 206388 206486 211302 214032 214326 219128 219429 222264 227448 227556 235984 240786 241488 244944 246519 249704 250047 250776 259308 265356 265482 271674 275184 280917 281736 285768 292572 303408 309582 309729 316953 321048 328692 333396 341334 345744 353808 353976 361179 362232 374556 376164 383474 388962 390096 398034 398223 407511 412776 412972 422604 428652 438256 438858 444528 454896 455112 464373 481572 493038 499408 500094 501552 512001 518616 530712 530964 543348 561834 563472 571536 575211 583443 585144 619164 619458 633906 642096 657384 658287 666792 682668 707952 722358 724464 739557 749112 750141 752328 766948 777924 796068 796446 815022 825552 825944 842751 845208 857304 877716 910224 928746 929187 950859 963144 986076 1000188 1024002 1037232 1061424 1061928 1083537 1086696 1123668 1150422 1166886 1170288 1194669 1222533 1238328 1238916 1267812 1314768 1316574 1333584 1342159 1365336 1393119 1444716 1479114 1498224 1500282 1504656 1533896 1536003 1555848 1592136 1592892 1630044 1651888 1685502 1690416 1714608 1725633 1750329 1755432 1857492 1858374 1901718 1926288 1972152 2000376 2048004 2123856 2167074 2173392 2218671 2247336 2300844 2333772 2389338 2445066 2476656 2477832 2528253 2535624 2633148 2684318 2730672 2786238 2787561 2852577 2889432 2958228 3000564 3067792 3072006 3111696 3184272 3185784 3250611 3260088 3371004 3451266 3500658 3510864 3584007 3714984 3716748 3803436 3944304 4000752 4026477 4096008 4334148 4437342 4494672 4601688 4608009 4667544 4778676 4890132 4955664 5056506 5071248 5176899 5250987 5266296 5368636 5572476 5575122 5705154 5778864 5916456 6001128 6144012 6371568 6501222 6520176 6656013 6742008 6902532 7001316 7168014 7429968 7433496 7584759 7606872 8052954 8192016 8362683 8557731 8668296 8874684 9203376 9216018 9335088 9557352 9751833 9780264 10113012 10353798 10501974 10532592 10737272 10752021 11144952 11150244 11410308 11832912 12002256 12079431 12288024 13002444 13312026 13484016 13805064 14002632 14336028 14866992 15169518 15213744 15530697 16105908 16725366 17115462 17336592 17749368 18432036 19114704 19503666 19560528 19968039 20226024 20707596 21003948 21474544 21504042 22289904 22300488 22754277 22820616 24158862 24576048 25088049 26004888 26624052 27610128 28005264 28672056 30339036 31061394 32211816 32256063 33450732 34230924 35498736 36238293 36864072 39007332 39936078 40452048 41415192 42007896 43008084 44600976 45508554 45641232 46592091 48317724 50176098 52009776 53248104 57344112 59904117 60678072 62122788 64423632 64512126 66901464 68262831 68461848 72476586 73728144 75264147 78014664 79872156 82830384 84015792 86016168 91017108 93184182 96635448 100352196 106496208 108714879 119808234 121356144 124245576 129024252 133802928 136525662 136923696 139776273 144953172 150528294 156029328 159744312 172032336 182034216 186368364 193270896 200704392 217429758 225792441 239616468 248491152 258048504 273051324 279552546 289906344 301056588 319488624 326144637 364068432 372736728 401408784 419328819 434859516 451584882 479232936 516097008 546102648 559105092 579812688 602113176 652289274 745473456 838657638 869719032 903169764 958465872 978433911 1092205296 1118210184 1204226352 1304578548 1677315276 1739438064 1806339528 1956867822 2236420368 2609157096 2935301733 3354630552 3612679056 3913735644 5218314192 5870603466 6709261104 7827471288 11741206932 15654942576 23482413864 46964827728
• Sum of all divisors σ(n): 175440298880
• Sum of proper divisors (its aliquot sum) s(n): 128475471152
• 46964827728 is an abundant number, because the sum of its proper divisors (128475471152) is greater than itself. Its abundance is 81510643424

Bases of 46964827728

• Binary: 101011101111010100100110011001010000₂
• Hexadecimal: 0xAEF526650
• Base-36: LKPN900

Squares and roots of 46964827728

• 46964827728 squared (46964827728²) is 2205695043520717641984
• 46964827728 cubed (46964827728³) is 103590087739453966654708940132352
• The square root of 46964827728 is 216713.6999084275
• The cube root of 46964827728 is 3607.9256383771

Scales and comparisons

• 46,964,827,728 seconds is equal to 1,493 years, 17 weeks, 3 days, 9 hours, 28 minutes, 48 seconds.
• To count from 1 to 46,964,827,728 would take you about two thousand, nine hundred eighty-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 46964827728 cubic inches would be around 300.7 feet tall.

Recreational maths with 46964827728

• 46964827728 backwards is 82772846964
• 46964827728 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 46964827728's digits is 63
• More coming soon!