420542974896

Names of 420542974896

• Cardinal: 420542974896 can be written as Four hundred twenty billion, five hundred forty-two million, nine hundred seventy-four thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 4.20542974896 × 10¹¹

Factors of 420542974896

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 792

Divisors of 420542974896

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 19 22 24 31 33 38 44 48 57 62 66 76 88 93 114 121 124 132 152 176 186 209 228 242 248 264 269 304 341 363 372 418 456 457 484 496 528 538 589 627 682 726 744 807 836 912 914 968 1023 1076 1178 1254 1364 1371 1452 1488 1614 1672 1767 1828 1936 2046 2152 2299 2356 2508 2728 2742 2904 2959 3228 3344 3534 3656 3751 4092 4304 4598 4712 5016 5027 5111 5456 5484 5808 5918 6456 6479 6897 7068 7312 7502 8184 8339 8683 8877 9196 9424 10032 10054 10222 10968 11253 11836 12912 12958 13794 14136 14167 15004 15081 15333 16368 16678 17366 17754 18392 19437 20108 20444 21936 22506 23672 25017 25916 26049 27588 28272 28334 30008 30162 30666 32549 33356 34732 35508 36784 38874 40216 40888 42501 45012 47344 50034 51832 52098 55176 55297 56221 56668 60016 60324 61332 65098 66712 69464 71016 71269 77748 80432 81776 85002 90024 91729 95513 97647 100068 103664 104196 110352 110594 112442 113336 120648 122664 122933 130196 133424 138928 142032 142538 155496 155837 158441 165891 168663 170004 180048 183458 191026 195294 200136 208392 213807 221188 224884 226672 241296 245328 245866 260392 269173 275187 285076 286539 310992 311674 316882 331782 337326 340008 366916 368799 382052 390588 400272 416784 427614 442376 449768 467511 475323 491732 520784 538346 550374 570152 573078 618431 623348 633764 663564 674652 680016 733832 737598 764104 781176 807519 855228 884752 899536 935022 950646 983464 1009019 1050643 1076692 1100748 1140304 1146156 1236862 1246696 1267528 1327128 1349304 1352263 1467664 1475196 1528208 1562352 1615038 1710456 1714207 1742851 1855293 1870044 1901292 1966928 2018038 2101286 2153384 2201496 2292312 2335727 2473724 2493392 2535056 2654256 2698608 2704526 2950392 2960903 3027057 3151929 3230076 3420912 3428414 3485702 3710586 3740088 3802584 3810923 4036076 4056789 4202572 4306768 4402992 4584624 4671454 4947448 5142621 5228553 5409052 5900784 5921806 6054114 6303858 6460152 6856828 6971404 7007181 7421172 7480176 7605168 7621846 8072152 8113578 8405144 8882709 9342908 9894896 10285242 10457106 10818104 11432769 11843612 12108228 12607716 12920304 13713656 13942808 14014362 14842344 14874893 15243692 16144304 16227156 16810288 17765418 18685816 19171361 20570484 20914212 21636208 22865538 23687224 24216456 25215432 25692997 27427312 27885616 28028724 29684688 29749786 30487384 32454312 32569933 35530836 37371632 38342722 41140968 41828424 41920153 44624679 45731076 47374448 48432912 50430864 51385994 56057448 57514083 59499572 60974768 64908624 65139866 71061672 72407537 76685444 77078991 82281936 83656848 83840306 89249358 91462152 97709799 102771988 112114896 115028166 118999144 125760459 130279732 142123344 144815074 153370888 154157982 167680612 178498716 182924304 195419598 205543976 217222611 230056332 237998288 251520918 260559464 282622967 289630148 306741776 308315964 335361224 356997432 390839196 411087952 434445222 460112664 461121683 503041836 521118928 565245934 579260296 616631928 670722448 713994864 781678392 796482907 847868901 868890444 920225328 922243366 1006083672 1130491868 1158520592 1233263856 1383365049 1563356784 1592965814 1695737802 1737780888 1844486732 2012167344 2260983736 2389448721 2766730098 3185931628 3391475604 3475561776 3688973464 4521967472 4778897442 5533460196 6371863256 6782951208 7377946928 8761311977 9557794884 11066920392 12743726512 13565902416 17522623954 19115589768 22133840784 26283935931 35045247908 38231179536 52567871862 70090495816 105135743724 140180991632 210271487448 420542974896
• Sum of all divisors σ(n): 1305216460800
• Sum of proper divisors (its aliquot sum) s(n): 884673485904
• 420542974896 is an abundant number, because the sum of its proper divisors (884673485904) is greater than itself. Its abundance is 464130511008

Bases of 420542974896

• Binary: 110000111101010010100001000101110110000₂
• Hexadecimal: 0x61EA508BB0
• Base-36: 5D70FG6O

Squares and roots of 420542974896

• 420542974896 squared (420542974896²) is 176856393734377686210816
• 420542974896 cubed (420542974896³) is 74375713950433486984337758451675136
• The square root of 420542974896 is 648492.8487624207
• The cube root of 420542974896 is 7492.0981956911

Scales and comparisons

• 420,542,974,896 seconds is equal to 13,371 years, 50 weeks, 1 day, 13 hours, 1 minute, 36 seconds.
• To count from 1 to 420,542,974,896 would take you about twenty-six thousand, seven hundred forty-three 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 420542974896 cubic inches would be around 624.3 feet tall.

Recreational maths with 420542974896

• 420542974896 backwards is 698479245024
• The number of decimal digits it has is: 12
• The sum of 420542974896's digits is 60
• More coming soon!