21948376320

Names of 21948376320

• Cardinal: 21948376320 can be written as Twenty-one billion, nine hundred forty-eight million, three hundred seventy-six thousand, three hundred twenty.

Scientific notation

• Scientific notation: 2.194837632 × 10¹⁰

Factors of 21948376320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 310

Divisors of 21948376320

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 37 39 40 45 48 51 52 60 64 65 68 72 74 78 80 85 90 96 102 104 111 117 120 128 130 136 144 148 153 156 160 170 180 185 192 195 204 208 221 222 233 234 240 255 256 260 272 288 296 306 312 320 333 340 360 370 384 390 408 416 442 444 466 468 480 481 510 520 544 555 576 585 592 612 624 629 640 663 666 680 699 720 740 765 768 780 816 832 884 888 932 936 960 962 1020 1040 1088 1105 1110 1152 1165 1170 1184 1224 1248 1258 1280 1326 1332 1360 1398 1440 1443 1480 1530 1560 1632 1664 1665 1768 1776 1864 1872 1887 1920 1924 1989 2040 2080 2097 2176 2210 2220 2304 2330 2340 2368 2405 2448 2496 2516 2652 2664 2720 2796 2880 2886 2960 3029 3060 3120 3145 3264 3315 3328 3330 3495 3536 3552 3728 3744 3774 3840 3848 3961 3978 4080 4160 4194 4329 4352 4420 4440 4660 4680 4736 4810 4896 4992 5032 5304 5328 5440 5592 5661 5760 5772 5920 6058 6120 6240 6290 6528 6630 6660 6990 7072 7104 7215 7456 7488 7548 7696 7922 7956 8160 8177 8320 8388 8621 8658 8840 8880 9087 9320 9360 9435 9472 9620 9792 9945 9984 10064 10485 10608 10656 10880 11184 11322 11520 11544 11840 11883 12116 12240 12480 12580 13056 13260 13320 13980 14144 14208 14430 14912 14976 15096 15145 15392 15844 15912 16320 16354 16640 16776 17242 17316 17680 17760 18174 18640 18720 18870 19240 19584 19805 19890 20128 20970 21216 21312 21645 21760 22368 22644 23088 23680 23766 24232 24480 24531 24960 25160 25863 26520 26640 27261 27960 28288 28305 28416 28860 29824 29952 30192 30290 30784 31688 31824 32640 32708 33552 34484 34632 35360 35520 35649 36348 37280 37440 37740 38480 39168 39610 39780 40256 40885 41940 42432 42624 43105 43290 44736 45288 45435 46176 47360 47532 48464 48960 49062 49920 50320 51493 51726 53040 53280 54522 55920 56576 56610 57720 59415 59648 60384 60580 61568 63376 63648 65280 65416 67104 68968 69264 70720 71040 71298 72696 73593 74560 74880 75480 76960 77589 79220 79560 80512 81770 83880 84864 85248 86210 86580 89472 90576 90870 92352 95064 96928 97920 98124 100640 102986 103452 106080 106560 109044 111840 112073 113220 115440 118830 120768 121160 122655 123136 126752 127296 129315 130832 134208 136305 137936 138528 141440 142080 142596 145392 146557 147186 149120 149760 150960 153920 154479 155178 158440 159120 161024 163540 167760 169728 172420 173160 178245 178944 181152 181740 184704 190128 193856 195840 196248 201280 205972 206904 212160 213120 218088 223680 224146 226440 230880 237660 241536 242320 245310 253504 254592 257465 258630 261664 268416 272610 275872 277056 282880 285192 290784 293114 294372 298240 301920 307840 308958 310356 316880 318240 327080 335520 336219 344840 346320 356490 362304 363480 367965 369408 380256 387712 387945 392496 402560 411944 413808 424320 426240 436176 439671 447360 448292 452880 461760 463437 475320 483072 484640 490620 507008 509184 514930 517260 523328 536832 545220 551744 554112 560365 570384 581568 586228 588744 603840 615680 617916 620712 633760 636480 654160 671040 672438 689680 692640 712980 724608 726960 732785 735930 760512 772395 775424 775890 784992 805120 823888 827616 848640 872352 879342 894720 896584 905760 923520 926874 950640 969280 981240 1008657 1014016 1029860 1034520 1046656 1090440 1103488 1108224 1120730 1140768 1163136 1172456 1177488 1207680 1235832 1241424 1267520 1272960 1308320 1319013 1342080 1344876 1379360 1385280 1425960 1449216 1453920 1465570 1471860 1521024 1544790 1551780 1569984 1647776 1655232 1681095 1744704 1758684 1793168 1811520 1847040 1853748 1901280 1905241 1938560 1962480 2017314 2059720 2069040 2093312 2180880 2198355 2206976 2241460 2281536 2317185 2326272 2344912 2354976 2415360 2471664 2482848 2535040 2545920 2616640 2638026 2684160 2689752 2758720 2770560 2851920 2907840 2931140 2943720 3042048 3089580 3103560 3139968 3295552 3310464 3362190 3489408 3517368 3586336 3623040 3707496 3802560 3810482 3877120 3924960 4034628 4119440 4138080 4361760 4396710 4482920 4563072 4634370 4689824 4709952 4943328 4965696 5043285 5070080 5233280 5276052 5379504 5517440 5541120 5703840 5715723 5815680 5862280 5887440 6179160 6207120 6279936 6591104 6595065 6620928 6724380 6978816 7034736 7172672 7246080 7414992 7605120 7620964 7849920 8069256 8238880 8276160 8723520 8793420 8965840 9126144 9268740 9379648 9419904 9526205 9886656 9931392 10086570 10466560 10552104 10759008 11034880 11407680 11431446 11631360 11724560 11774880 12358320 12414240 13182208 13190130 13448760 14069472 14345344 14829984 15210240 15241928 15699840 16138512 16477760 16552320 17147169 17447040 17586840 17931680 18537480 18759296 18839808 19052410 19773312 19862784 20173140 21104208 21518016 22815360 22862892 23449120 23549760 24716640 24828480 26380260 26897520 28138944 28578615 28690688 29659968 30483856 31399680 32277024 32955520 33104640 34294338 34894080 35173680 35863360 37074960 37518592 38104820 39546624 40346280 42208416 43036032 45630720 45725784 46898240 47099520 49433280 49656960 52760520 53795040 56277888 57157230 59319936 60967712 64554048 65911040 68588676 70347360 71726720 74149920 76209640 80692560 84416832 85735845 86072064 91451568 93796480 94199040 98866560 99313920 105521040 107590080 112555776 114314460 118639872 121935424 129108096 137177352 140694720 143453440 148299840 152419280 161385120 168833664 171471690 182903136 187592960 197733120 211042080 215180160 228628920 243870848 258216192 274354704 281389440 296599680 304838560 322770240 337667328 342943380 365806272 422084160 430360320 457257840 487741696 548709408 562778880 593199360 609677120 645540480 685886760 731612544 844168320 914515680 1097418816 1219354240 1291080960 1371773520 1463225088 1688336640 1829031360 2194837632 2438708480 2743547040 3658062720 4389675264 5487094080 7316125440 10974188160 21948376320
• Sum of all divisors σ(n): 89313168672
• Sum of proper divisors (its aliquot sum) s(n): 67364792352
• 21948376320 is an abundant number, because the sum of its proper divisors (67364792352) is greater than itself. Its abundance is 45416416032

Bases of 21948376320

• Binary: 10100011100001110011010010100000000₂
• Hexadecimal: 0x51C39A500
• Base-36: A2ZHVK0

Squares and roots of 21948376320

• 21948376320 squared (21948376320²) is 481731223084336742400
• 21948376320 cubed (21948376320³) is 10573218169348893919798099968000
• The square root of 21948376320 is 148149.8441443663
• The cube root of 21948376320 is 2799.8459234947

Scales and comparisons

• 21,948,376,320 seconds is equal to 697 years, 46 weeks, 2 days, 3 hours, 12 minutes.
• To count from 1 to 21,948,376,320 would take you about one thousand, three hundred ninety-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 21948376320 cubic inches would be around 233.3 feet tall.

Recreational maths with 21948376320

• 21948376320 backwards is 02367384912
• 21948376320 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 21948376320's digits is 45
• More coming soon!