968927920128

Names of 968927920128

• Cardinal: 968927920128 can be written as Nine hundred sixty-eight billion, nine hundred twenty-seven million, nine hundred twenty thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 9.68927920128 × 10¹¹

Factors of 968927920128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 3875

Divisors of 968927920128

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 512 567 576 648 672 729 756 768 864 896 972 1008 1024 1134 1152 1296 1344 1458 1512 1536 1701 1728 1792 1944 2016 2048 2187 2268 2304 2592 2688 2916 3024 3072 3402 3456 3584 3863 3888 4032 4096 4374 4536 4608 5103 5184 5376 5832 6048 6144 6804 6912 7168 7726 7776 8064 8192 8748 9072 9216 10206 10368 10752 11589 11664 12096 12288 13608 13824 14336 15309 15452 15552 16128 16384 17496 18144 18432 20412 20736 21504 23178 23328 24192 24576 27041 27216 27648 28672 30618 30904 31104 32256 34767 34992 36288 36864 40824 41472 43008 46356 46656 48384 49152 54082 54432 55296 57344 61236 61808 62208 64512 69534 69984 72576 73728 81123 81648 82944 86016 92712 93312 96768 104301 108164 108864 110592 114688 122472 123616 124416 129024 139068 139968 145152 147456 162246 163296 165888 172032 185424 186624 193536 208602 216328 217728 221184 243369 244944 247232 248832 258048 278136 279936 290304 312903 324492 326592 331776 344064 370848 373248 387072 417204 432656 435456 442368 486738 489888 494464 497664 516096 556272 559872 580608 625806 648984 653184 663552 730107 741696 746496 774144 834408 865312 870912 938709 973476 979776 988928 995328 1032192 1112544 1119744 1161216 1251612 1297968 1306368 1327104 1460214 1483392 1492992 1548288 1668816 1730624 1741824 1877418 1946952 1959552 1977856 1990656 2190321 2225088 2239488 2322432 2503224 2595936 2612736 2816127 2920428 2966784 2985984 3096576 3337632 3461248 3483648 3754836 3893904 3919104 3955712 3981312 4380642 4450176 4478976 4644864 5006448 5191872 5225472 5632254 5840856 5933568 5971968 6570963 6675264 6922496 6967296 7509672 7787808 7838208 7911424 8448381 8761284 8900352 8957952 9289728 10012896 10383744 10450944 11264508 11681712 11867136 11943936 13141926 13350528 13844992 13934592 15019344 15575616 15676416 15822848 16896762 17522568 17800704 17915904 19712889 20025792 20767488 20901888 22529016 23363424 23734272 26283852 26701056 27689984 27869184 30038688 31151232 31352832 31645696 33793524 35045136 35601408 35831808 39425778 40051584 41534976 41803776 45058032 46726848 47468544 52567704 53402112 55379968 59138667 60077376 62302464 62705664 63291392 67587048 70090272 71202816 78851556 80103168 83069952 83607552 90116064 93453696 94937088 105135408 106804224 110759936 118277334 120154752 124604928 125411328 135174096 140180544 142405632 157703112 160206336 166139904 180232128 186907392 189874176 210270816 213608448 221519872 236554668 240309504 249209856 250822656 270348192 280361088 284811264 315406224 320412672 332279808 360464256 373814784 420541632 427216896 443039744 473109336 480619008 498419712 540696384 560722176 569622528 630812448 640825344 664559616 720928512 747629568 841083264 854433792 946218672 961238016 996839424 1081392768 1121444352 1261624896 1281650688 1329119232 1441857024 1495259136 1682166528 1708867584 1892437344 1922476032 1993678848 2162785536 2242888704 2523249792 2563301376 2883714048 2990518272 3364333056 3784874688 3844952064 3987357696 4325571072 4485777408 5046499584 5126602752 5767428096 5981036544 6728666112 7569749376 7689904128 8651142144 8971554816 10092999168 11534856192 11962073088 13457332224 15139498752 15379808256 17302284288 17943109632 20185998336 23069712384 26914664448 30278997504 34604568576 35886219264 40371996672 46139424768 53829328896 60557995008 69209137152 80743993344 107658657792 121115990016 138418274304 161487986688 242231980032 322975973376 484463960064 968927920128
• Sum of all divisors σ(n): 3322290693120
• Sum of proper divisors (its aliquot sum) s(n): 2353362772992
• 968927920128 is an abundant number, because the sum of its proper divisors (2353362772992) is greater than itself. Its abundance is 1384434852864

Bases of 968927920128

• Binary: 1110000110011000100110101100000000000000₂
• Hexadecimal: 0xE1989AC000
• Base-36: CD4AO000

Squares and roots of 968927920128

• 968927920128 squared (968927920128²) is 938821314403571947536384
• 968927920128 cubed (968927920128³) is 909650183536888135940434882725937152
• The square root of 968927920128 is 984341.3636173175
• The cube root of 968927920128 is 9895.3347407393

Scales and comparisons

• 968,927,920,128 seconds is equal to 30,808 years, 47 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 968,927,920,128 would take you about sixty-one thousand, six hundred seventeen 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 968927920128 cubic inches would be around 824.6 feet tall.

Recreational maths with 968927920128

• 968927920128 backwards is 821029729869
• 968927920128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 968927920128's digits is 63
• More coming soon!