21948723160752128

Names of 21948723160752128

• Cardinal: 21948723160752128 can be written as Twenty-one quadrillion, nine hundred forty-eight trillion, seven hundred twenty-three billion, one hundred sixty million, seven hundred fifty-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 2.1948723160752128 × 10¹⁶

Factors of 21948723160752128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 1009

Divisors of 21948723160752128

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 169 208 221 256 272 338 416 442 512 544 676 832 884 977 1024 1088 1352 1664 1768 1954 2048 2176 2704 2873 3328 3536 3908 4096 4352 5408 5746 6656 7072 7816 8192 8704 10816 11492 12701 13312 14144 15632 16609 17408 21632 22984 25402 26624 28288 31264 33218 34816 43264 45968 50804 53248 56576 62528 66436 69632 86528 91936 101608 106496 113152 125056 132872 139264 165113 173056 183872 203216 215917 226304 250112 265744 330226 346112 367744 406432 431834 452608 500224 531488 660452 692224 735488 812864 863668 905216 954529 1000448 1062976 1320904 1384448 1470976 1625728 1727336 1810432 1909058 2000896 2125952 2641808 2806921 2941952 3251456 3454672 3818116 4001792 4251904 5283616 5613842 5883904 6502912 6909344 7636232 8003584 8503808 10567232 11227684 11767808 12408877 13005824 13818688 15272464 16226993 17007616 21134464 22455368 23535616 24817754 26011648 27637376 30544928 32453986 34015232 42268928 44910736 49635508 52023296 55274752 61089856 64907972 68030464 84537856 89821472 99271016 104046592 110549504 122179712 129815944 136060928 161315401 169075712 179642944 198542032 210950909 221099008 244359424 259631888 322630802 338151424 359285888 397084064 421901818 442198016 488718848 519263776 645261604 676302848 718571776 794168128 843803636 884396032 932574833 977437696 1038527552 1290523208 1352605696 1437143552 1588336256 1687607272 1768792064 1865149666 1954875392 2077055104 2581046416 2742361817 2874287104 3176672512 3375214544 3730299332 3909750784 4154110208 5162092832 5484723634 5748574208 6353345024 6750429088 7460598664 7819501568 8308220416 10324185664 10969447268 11497148416 12123472829 12706690048 13500858176 14921197328 15853772161 16616440832 20648371328 21938894536 22994296832 24246945658 25413380096 27001716352 29842394656 31707544322 33232881664 41296742656 43877789072 48493891316 50826760192 54003432704 59684789312 63415088644 66465763328 82593485312 87755578144 96987782632 101653520384 108006865408 119369578624 126830177288 132931526656 157605146777 165186970624 175511156288 193975565264 206099038093 216013730816 238739157248 253660354576 315210293554 330373941248 351022312576 387951130528 412198076186 432027461632 477478314496 507320709152 630420587108 660747882496 702044625152 775902261056 824396152372 864054923264 954956628992 1014641418304 1260841174216 1321495764992 1404089250304 1551804522112 1648792304744 1728109846528 1909913257984 2029282836608 2521682348432 2679287495209 2808178500608 3103609044224 3297584609488 3819826515968 4058565673216 5043364696864 5358574990418 5616357001216 6207218088448 6595169218976 7639653031936 8117131346432 10086729393728 10717149980836 11232714002432 12414436176896 13190338437952 16234262692864 20173458787456 21434299961672 22465428004864 24828872353792 26380676875904 32468525385728 40346917574912 42868599923344 49657744707584 52761353751808 64937050771456 80693835149824 85737199846688 99315489415168 105522707503616 129874101542912 161387670299648 171474399693376 211045415007232 322775340599296 342948799386752 422090830014464 645550681198592 685897598773504 844181660028928 1291101362397184 1371795197547008 1688363320057856 2743590395094016 5487180790188032 10974361580376064 21948723160752128
• Sum of all divisors σ(n): 50378526783364680
• Sum of proper divisors (its aliquot sum) s(n): 28429803622612552
• 21948723160752128 is an abundant number, because the sum of its proper divisors (28429803622612552) is greater than itself. Its abundance is 6481080461860424

Bases of 21948723160752128

• Binary: 1001101111110100011111101010111010001010010000000000000₂
• Hexadecimal: 0x4DFA3F57452000
• Base-36: 604687YO8OW

Squares and roots of 21948723160752128

• 21948723160752128 squared (21948723160752128²) is 481746448387336884106334656528384
• 21948723160752128 cubed (21948723160752128³) is 10573719429329220711639614294424316370718820401152
• The square root of 21948723160752128 is 148151014.7138794591
• The cube root of 21948723160752128 is 279986.0671670527

Scales and comparisons

• 21,948,723,160,752,128 seconds is equal to 697,901,504 years, 33 weeks, 6 days, 21 hours, 22 minutes, 8 seconds.
• To count from 1 to 21,948,723,160,752,128 would take you about two billion, ninety-three million, seven hundred four thousand, five hundred thirteen 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 21948723160752128 cubic inches would be around 23332.2 feet tall.

Recreational maths with 21948723160752128

• 21948723160752128 backwards is 82125706132784912
• 21948723160752128 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21948723160752128's digits is 68
• More coming soon!