221431382016

Names of 221431382016

• Cardinal: 221431382016 can be written as Two hundred twenty-one billion, four hundred thirty-one million, three hundred eighty-two thousand and sixteen.

Scientific notation

• Scientific notation: 2.21431382016 × 10¹¹

Factors of 221431382016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 121

Divisors of 221431382016

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 19 23 24 26 32 38 39 46 48 52 57 61 64 69 76 78 92 96 104 114 122 128 138 152 156 169 183 184 192 208 228 244 247 256 276 299 304 312 338 366 368 384 416 437 456 488 494 507 512 552 598 608 624 676 732 736 741 768 793 832 874 897 912 976 988 1014 1024 1104 1159 1196 1216 1248 1311 1352 1403 1464 1472 1482 1536 1586 1664 1748 1794 1824 1952 1976 2028 2048 2208 2318 2379 2392 2432 2496 2622 2704 2806 2928 2944 2964 3072 3172 3211 3328 3477 3496 3588 3648 3887 3904 3952 4056 4096 4209 4416 4636 4758 4784 4864 4992 5244 5408 5612 5681 5856 5888 5928 6144 6344 6422 6656 6954 6992 7176 7296 7774 7808 7904 8112 8192 8418 8832 9272 9516 9568 9633 9728 9984 10309 10488 10816 11224 11362 11661 11712 11776 11856 12288 12688 12844 13312 13908 13984 14352 14592 15067 15548 15616 15808 16224 16384 16836 17043 17664 18239 18544 19032 19136 19266 19456 19968 20618 20976 21632 22448 22724 23322 23424 23552 23712 24576 25376 25688 26624 26657 27816 27968 28704 29184 30134 30927 31096 31232 31616 32448 33672 34086 35328 36478 37088 38064 38272 38532 38912 39936 41236 41952 43264 44896 45201 45448 46644 46848 47104 47424 49152 50752 51376 53248 53314 54717 55632 55936 57408 58368 60268 61854 62192 62464 63232 64896 67344 68172 70656 72956 73853 74176 76128 76544 77064 77824 79872 79971 82472 83904 86528 89792 90402 90896 93288 93696 94208 94848 101504 102752 106496 106628 109434 111264 111872 114816 116736 120536 123708 124384 124928 126464 129792 134688 136344 141312 145912 147706 148352 152256 153088 154128 155648 159744 159942 164944 167808 173056 179584 180804 181792 186576 187392 188416 189696 195871 203008 205504 212992 213256 218868 221559 222528 223744 229632 233472 237107 241072 247416 248768 249856 252928 259584 269376 272688 282624 291824 295412 296704 304512 306176 308256 311296 319488 319884 329888 335616 346112 346541 359168 361608 363584 373152 374784 376832 379392 391742 406016 411008 426512 437736 443118 445056 447488 459264 466944 474214 482144 494832 497536 499712 505856 519168 538752 545376 565248 583648 587613 590824 593408 609024 612352 616512 638976 639768 659776 671232 692224 693082 711321 718336 723216 727168 746304 749568 758784 783484 812032 822016 853024 875472 886236 890112 894976 918528 933888 948428 964288 989664 995072 999424 1011712 1038336 1039623 1077504 1090752 1130496 1167296 1175226 1181648 1186816 1218048 1224704 1233024 1279536 1319552 1342464 1384448 1386164 1422642 1436672 1446432 1454336 1492608 1499136 1517568 1566968 1624064 1644032 1706048 1750944 1772472 1780224 1789952 1837056 1896856 1928576 1979328 1990144 2023424 2076672 2079246 2155008 2181504 2334592 2350452 2363296 2373632 2436096 2449408 2466048 2559072 2639104 2684928 2768896 2772328 2845284 2873344 2892864 2908672 2985216 2998272 3035136 3133936 3248128 3288064 3412096 3501888 3544944 3560448 3579904 3674112 3793712 3857152 3958656 3980288 4046848 4153344 4158492 4310016 4363008 4505033 4669184 4700904 4726592 4747264 4872192 4898816 4932096 5118144 5278208 5369856 5544656 5690568 5746688 5785728 5817344 5970432 6070272 6267872 6496256 6576128 6824192 7003776 7089888 7120896 7159808 7348224 7587424 7714304 7917312 7960576 8306688 8316984 8620032 8726016 9010066 9338368 9401808 9453184 9494528 9744384 9864192 10236288 10556416 10739712 11089312 11381136 11493376 11571456 11634688 11940864 12140544 12535744 12992512 13152256 13515099 13648384 14007552 14179776 14241792 14696448 15174848 15428608 15834624 15921152 16633968 17240064 17452032 18020132 18676736 18803616 18906368 18989056 19488768 19728384 20472576 21112832 21479424 22178624 22762272 22986752 23142912 23269376 23881728 25071488 26304512 27030198 27296768 28015104 28359552 28483584 30349696 30857216 31669248 31842304 33267936 34480128 34904064 36040264 37353472 37607232 37812736 38977536 39456768 40945152 42225664 44357248 45524544 46285824 46538752 47763456 50142976 52609024 54060396 54593536 56030208 56719104 56967168 60699392 61714432 63338496 63684608 66535872 68960256 69808128 72080528 74706944 75214464 75625472 78913536 81890304 84451328 88714496 91049088 92571648 93077504 95526912 100285952 108120792 109187072 112060416 113438208 121398784 123428864 126676992 133071744 139616256 144161056 149413888 150428928 151250944 157827072 163780608 168902656 177428992 182098176 185143296 191053824 200571904 216241584 218374144 224120832 226876416 242797568 246857728 253353984 266143488 279232512 288322112 298827776 300857856 302501888 327561216 354857984 364196352 370286592 401143808 432483168 436748288 448241664 453752832 485595136 506707968 532286976 576644224 601715712 605003776 655122432 709715968 728392704 740573184 802287616 864966336 896483328 907505664 971190272 1064573952 1153288448 1203431424 1210007552 1310244864 1419431936 1456785408 1604575232 1729932672 1815011328 1942380544 2129147904 2306576896 2406862848 2838863872 2913570816 3209150464 3459865344 3630022656 3884761088 4258295808 4613153792 4813725696 5677727744 5827141632 6919730688 8516591616 9226307584 9627451392 11654283264 13839461376 17033183232 18452615168 27678922752 36905230336 55357845504 73810460672 110715691008 221431382016
• Sum of all divisors σ(n): 713806813440
• Sum of proper divisors (its aliquot sum) s(n): 492375431424
• 221431382016 is an abundant number, because the sum of its proper divisors (492375431424) is greater than itself. Its abundance is 270944049408

Bases of 221431382016

• Binary: 11001110001110010101101100000000000000₂
• Hexadecimal: 0x338E56C000
• Base-36: 2TQ2IZUO

Squares and roots of 221431382016

• 221431382016 squared (221431382016²) is 49031856941515728224256
• 221431382016 cubed (221431382016³) is 10857191845370630586497663653380096
• The square root of 221431382016 is 470564.9604634837
• The cube root of 221431382016 is 6049.8748421709

Scales and comparisons

• 221,431,382,016 seconds is equal to 7,040 years, 43 weeks, 2 days, 5 hours, 13 minutes, 36 seconds.
• To count from 1 to 221,431,382,016 would take you about fourteen thousand and eighty-one 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 221431382016 cubic inches would be around 504.2 feet tall.

Recreational maths with 221431382016

• 221431382016 backwards is 610283134122
• The number of decimal digits it has is: 12
• The sum of 221431382016's digits is 33
• More coming soon!