972814753728

Names of 972814753728

• Cardinal: 972814753728 can be written as Nine hundred seventy-two billion, eight hundred fourteen million, seven hundred fifty-three thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 9.72814753728 × 10¹¹

Factors of 972814753728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1857

Divisors of 972814753728

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 61 62 64 72 76 81 93 96 108 114 122 124 144 152 162 171 183 186 192 216 228 243 244 248 279 288 304 324 342 366 372 432 456 486 488 496 513 549 558 576 589 608 648 684 732 744 837 864 912 972 976 992 1026 1098 1116 1159 1178 1216 1296 1368 1464 1488 1539 1647 1674 1728 1741 1767 1824 1891 1944 1952 1984 2052 2196 2232 2318 2356 2511 2592 2736 2928 2976 3078 3294 3348 3477 3482 3534 3648 3782 3888 3904 4104 4392 4464 4617 4636 4712 4941 5022 5184 5223 5301 5472 5673 5856 5952 6156 6588 6696 6954 6964 7068 7533 7564 7776 8208 8784 8928 9234 9272 9424 9882 10044 10431 10446 10602 10944 11346 11712 12312 13176 13392 13908 13928 14136 14823 15066 15128 15552 15669 15903 16416 17019 17568 17856 18468 18544 18848 19764 20088 20862 20892 21204 22692 24624 26352 26784 27816 27856 28272 29646 30132 30256 31293 31338 31806 32832 33079 34038 35136 35929 36936 37088 37696 39528 40176 41724 41784 42408 45384 47007 47709 49248 51057 52704 53568 53971 55632 55712 56544 59292 60264 60512 62586 62676 63612 66158 68076 71858 73872 74176 79056 80352 83448 83568 84816 90768 93879 94014 95418 98496 99237 102114 105408 106201 107787 107942 111264 111424 113088 118584 120528 121024 125172 125352 127224 132316 136152 141021 143127 143716 147744 153171 158112 160704 161913 166896 167136 169632 181536 187758 188028 190836 198474 204228 212402 215574 215884 222528 237168 241056 250344 250704 254448 264632 272304 281637 282042 286254 287432 295488 297711 306342 316224 318603 323361 323826 333792 334272 339264 363072 375516 376056 381672 396948 408456 423063 424804 431148 431768 459513 474336 482112 485739 500688 501408 508896 529264 544608 563274 564084 572508 574864 595422 612684 637206 646722 647652 667584 751032 752112 763344 793896 816912 846126 849608 862296 863536 893133 919026 948672 955809 970083 971478 1001376 1002816 1017792 1025449 1058528 1089216 1126548 1128168 1145016 1149728 1190844 1225368 1274412 1293444 1295304 1457217 1502064 1504224 1526688 1587792 1633824 1692252 1699216 1724592 1727072 1786266 1838052 1911618 1940166 1942956 2002752 2017819 2050898 2117056 2253096 2256336 2290032 2299456 2381688 2450736 2548824 2586888 2590608 2679399 2867427 2910249 2914434 3004128 3008448 3053376 3076347 3175584 3267648 3292231 3384504 3398432 3449184 3454144 3572532 3676104 3823236 3880332 3885912 4035638 4101796 4371651 4506192 4512672 4580064 4763376 4901472 5097648 5173776 5181216 5358798 5734854 5820498 5828868 6008256 6053457 6152694 6351168 6584462 6769008 6796864 6898368 7145064 7352208 7646472 7760664 7771824 8038197 8071276 8203592 8602281 8730747 8743302 9012384 9025344 9160128 9229041 9526752 9802944 9876693 10195296 10347552 10362432 10717596 11469708 11640996 11657736 12106914 12305388 13114953 13168924 13538016 14290128 14704416 15292944 15521328 15543648 16076394 16142552 16407184 17204562 17461494 17486604 18024768 18160371 18458082 19053504 19753386 20390592 20695104 21435192 22939416 23281992 23315472 24213828 24610776 25806843 26229906 26337848 27076032 27687123 28580256 29408832 29630079 30585888 31042656 31087296 32152788 32285104 32814368 34409124 34922988 34973208 36320742 36916164 39506772 42870384 45878832 46563984 46630944 48427656 49221552 51613686 52459812 52675696 54481113 55374246 57160512 59260158 61171776 62085312 62552389 64305576 64570208 65628736 68818248 69845976 69946416 72641484 73832328 79013544 83061369 85740768 88890237 91757664 93127968 93261888 96855312 98443104 103227372 104919624 105351392 108962226 110748492 118520316 125104778 128611152 129140416 137636496 139691952 139892832 145282968 147664656 158027088 163443339 166122738 171481536 177780474 183515328 186255936 187657167 193710624 196886208 206454744 209839248 210702784 217924452 221496984 237040632 249184107 250209556 257222304 266670711 275272992 279383904 279785664 290565936 295329312 316054176 326886678 332245476 355560948 375314334 387421248 412909488 419678496 435848904 442993968 474081264 490330017 498368214 500419112 514444608 533341422 550545984 558767808 562971501 581131872 590658624 632108352 653773356 664490952 711121896 750628668 800012133 825818976 839356992 871697808 885987936 948162528 980660034 996736428 1000838224 1066682844 1125943002 1162263744 1307546712 1328981904 1422243792 1501257336 1600024266 1651637952 1688914503 1743395616 1771975872 1896325056 1961320068 1993472856 2001676448 2133365688 2251886004 2615093424 2657963808 2844487584 3002514672 3200048532 3377829006 3486791232 3922640136 3986945712 4003352896 4266731376 4503772008 5066743509 5230186848 5315927616 5688975168 6005029344 6400097064 6755658012 7845280272 7973891424 8533462752 9007544016 10133487018 10460373696 12010058688 12800194128 13511316024 15200230527 15690560544 15947782848 17066925504 18015088032 20266974036 25600388256 27022632048 30400461054 31381121088 36030176064 40533948072 51200776512 54045264096 60800922108 81067896144 108090528192 121601844216 162135792288 243203688432 324271584576 486407376864 972814753728
• Sum of all divisors σ(n): 3195397703680
• Sum of proper divisors (its aliquot sum) s(n): 2222582949952
• 972814753728 is an abundant number, because the sum of its proper divisors (2222582949952) is greater than itself. Its abundance is 1249768196224

Bases of 972814753728

• Binary: 1110001010000000010001110001111111000000₂
• Hexadecimal: 0xE280471FC0
• Base-36: CEWKSC00

Squares and roots of 972814753728

• 972814753728 squared (972814753728²) is 946368545070869289897984
• 972814753728 cubed (972814753728³) is 920641283109043376558985543203684352
• The square root of 972814753728 is 986313.7197301881
• The cube root of 972814753728 is 9908.5487283773

Scales and comparisons

• 972,814,753,728 seconds is equal to 30,932 years, 26 weeks, 28 minutes, 48 seconds.
• To count from 1 to 972,814,753,728 would take you about sixty-one thousand, eight hundred sixty-five 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 972814753728 cubic inches would be around 825.7 feet tall.

Recreational maths with 972814753728

• 972814753728 backwards is 827357418279
• The number of decimal digits it has is: 12
• The sum of 972814753728's digits is 63
• More coming soon!