40456948224

Names of 40456948224

• Cardinal: 40456948224 can be written as Forty billion, four hundred fifty-six million, nine hundred forty-eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 4.0456948224 × 10¹⁰

Factors of 40456948224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 280

Divisors of 40456948224

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 121 128 132 154 168 176 192 224 231 242 256 257 264 308 336 352 363 384 448 462 484 512 514 528 616 672 704 726 768 771 847 896 924 968 1028 1056 1232 1331 1344 1408 1452 1536 1542 1694 1792 1799 1848 1936 2056 2112 2464 2541 2662 2688 2816 2827 2904 3084 3388 3584 3598 3696 3872 3993 4112 4224 4928 5082 5324 5376 5397 5632 5654 5808 6168 6776 7196 7392 7744 7986 8224 8448 8481 9317 9856 10164 10648 10752 10794 11308 11616 12336 13552 14392 14641 14784 15488 15972 16448 16896 16962 18634 19712 19789 20328 21296 21588 22616 23232 24672 27104 27951 28784 29282 29568 30976 31097 31944 32896 33924 37268 39424 39578 40656 42592 43176 43923 45232 46464 49344 54208 55902 57568 58564 59136 59367 61952 62194 63888 65792 67848 74536 79156 81312 85184 86352 87846 90464 92928 93291 98688 102487 108416 111804 115136 117128 118272 118734 124388 127776 131584 135696 149072 158312 162624 170368 172704 175692 180928 185856 186582 197376 204974 216832 217679 223608 230272 234256 237468 248776 255552 271392 298144 307461 316624 325248 340736 342067 345408 351384 361856 373164 394752 409948 433664 435358 447216 460544 468512 474936 497552 511104 542784 596288 614922 633248 650496 653037 681472 684134 690816 702768 723712 746328 819896 870716 894432 921088 937024 949872 995104 1022208 1026201 1085568 1192576 1229844 1266496 1300992 1306074 1368268 1381632 1405536 1447424 1492656 1639792 1741432 1788864 1874048 1899744 1990208 2044416 2052402 2171136 2385152 2394469 2459688 2532992 2612148 2736536 2763264 2811072 2985312 3279584 3482864 3577728 3748096 3762737 3799488 3980416 4104804 4342272 4770304 4788938 4919376 5065984 5224296 5473072 5622144 5970624 6559168 6965728 7155456 7183407 7496192 7525474 7598976 7960832 8209608 9577876 9838752 10131968 10448592 10946144 11244288 11288211 11941248 13118336 13931456 14310912 14366814 15050948 15197952 15921664 16419216 19155752 19677504 20897184 21892288 22488576 22576422 23882496 26236672 26339159 27862912 28733628 30101896 30395904 32838432 38311504 39355008 41794368 43784576 45152844 47764992 52473344 52678318 55725824 57467256 60203792 65676864 76623008 78710016 79017477 83588736 87569152 90305688 105356636 111451648 114934512 120407584 131353728 153246016 157420032 158034954 167177472 175138304 180611376 210713272 229869024 240815168 262707456 306492032 316069908 334354944 361222752 421426544 459738048 481630336 525414912 612984064 632139816 722445504 842853088 919476096 963260672 1225968128 1264279632 1444891008 1685706176 1838952192 1926521344 2528559264 2889782016 3371412352 3677904384 5057118528 5779564032 6742824704 10114237056 13485649408 20228474112 40456948224
• Sum of all divisors σ(n): 136021026240
• Sum of proper divisors (its aliquot sum) s(n): 95564078016
• 40456948224 is an abundant number, because the sum of its proper divisors (95564078016) is greater than itself. Its abundance is 55107129792

Bases of 40456948224

• Binary: 100101101011011011000000101000000000₂
• Hexadecimal: 0x96B6C0A00
• Base-36: IL30T1C

Squares and roots of 40456948224

• 40456948224 squared (40456948224²) is 1636764659599416754176
• 40456948224 cubed (40456948224³) is 66218503088286588204296567783424
• The square root of 40456948224 is 201139.1265368327
• The cube root of 40456948224 is 3432.9254571949

Scales and comparisons

• 40,456,948,224 seconds is equal to 1,286 years, 21 weeks, 17 hours, 10 minutes, 24 seconds.
• To count from 1 to 40,456,948,224 would take you about two thousand, five hundred seventy-two 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 40456948224 cubic inches would be around 286.1 feet tall.

Recreational maths with 40456948224

• 40456948224 backwards is 42284965404
• 40456948224 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40456948224's digits is 48
• More coming soon!