442912420224

Names of 442912420224

• Cardinal: 442912420224 can be written as Four hundred forty-two billion, nine hundred twelve million, four hundred twenty thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 4.42912420224 × 10¹¹

Factors of 442912420224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4304

Divisors of 442912420224

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1093 1152 1184 1332 1728 1776 1998 2186 2368 2664 3169 3279 3456 3552 3996 4372 4736 5328 6338 6558 7104 7992 8744 9507 9837 10656 12676 13116 14208 15984 17488 19014 19674 21312 25352 26232 28521 29511 31968 34976 38028 39348 40441 42624 50704 52464 57042 59022 63936 69952 76056 78696 80882 85563 101408 104928 114084 117253 118044 121323 127872 139904 152112 157392 161764 171126 202816 209856 228168 234506 236088 242646 304224 314784 323528 342252 351759 363969 405632 419712 456336 469012 472176 485292 608448 629568 647056 684504 703518 727938 912672 938024 944352 970584 1055277 1091907 1216896 1259136 1294112 1369008 1407036 1455876 1825344 1876048 1888704 1941168 2110554 2183814 2588224 2738016 2814072 2911752 3165831 3463717 3650688 3752096 3777408 3882336 4221108 4367628 5176448 5476032 5628144 5823504 6331662 6927434 7504192 7764672 8442216 8735256 10391151 10952064 11256288 11647008 12663324 13854868 15008384 15529344 16884432 17470512 20782302 22512576 23294016 25326648 27709736 31173453 33768864 34941024 41564604 45025152 46588032 50653296 55419472 62346906 67537728 69882048 83129208 93520359 101306592 110838944 124693812 128157529 135075456 139764096 166258416 187040718 202613184 221677888 249387624 256315058 332516832 374081436 384472587 405226368 443355776 498775248 512630116 665033664 748162872 768945174 997550496 1025260232 1153417761 1330067328 1496325744 1537890348 1995100992 2050520464 2306835522 2992651488 3075780696 3460253283 3990201984 4101040928 4613671044 5985302976 6151561392 6920506566 8202081856 9227342088 11970605952 12303122784 13841013132 16404163712 18454684176 24606245568 27682026264 36909368352 49212491136 55364052528 73818736704 110728105056 147637473408 221456210112 442912420224
• Sum of all divisors σ(n): 1344189048000
• Sum of proper divisors (its aliquot sum) s(n): 901276627776
• 442912420224 is an abundant number, because the sum of its proper divisors (901276627776) is greater than itself. Its abundance is 458364207552

Bases of 442912420224

• Binary: 110011100011111101000110011000110000000₂
• Hexadecimal: 0x671FA33180
• Base-36: 5NGYMAO0

Squares and roots of 442912420224

• 442912420224 squared (442912420224²) is 196171411988681164210176
• 442912420224 cubed (442912420224³) is 86886754862666183334211021568999424
• The square root of 442912420224 is 665516.6566089835
• The cube root of 442912420224 is 7622.6495392867

Scales and comparisons

• 442,912,420,224 seconds is equal to 14,083 years, 12 weeks, 5 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 442,912,420,224 would take you about twenty-eight thousand, one hundred sixty-six 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 442912420224 cubic inches would be around 635.2 feet tall.

Recreational maths with 442912420224

• 442912420224 backwards is 422024219244
• 442912420224 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442912420224's digits is 36
• More coming soon!