821069972460972

Names of 821069972460972

• Cardinal: 821069972460972 can be written as Eight hundred twenty-one trillion, sixty-nine billion, nine hundred seventy-two million, four hundred sixty thousand, nine hundred seventy-two.

Scientific notation

• Scientific notation: 8.21069972460972 × 10¹⁴

Factors of 821069972460972

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 797866

Divisors of 821069972460972

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 9 12 13 18 26 27 29 36 39 41 52 54 58 78 82 87 108 116 117 123 156 164 174 234 246 261 348 351 369 377 468 492 522 533 617 702 738 754 783 1044 1066 1107 1131 1189 1234 1404 1476 1508 1566 1599 1851 2132 2214 2262 2378 2468 3132 3198 3393 3567 3702 4428 4524 4756 4797 5553 6396 6786 7134 7404 8021 9594 10179 10701 11106 13572 14268 14391 15457 16042 16659 17893 19188 20358 21402 22212 24063 25297 28782 30914 32084 32103 33318 35786 40716 42804 46371 48126 50594 53679 57564 61828 64206 66636 71572 72189 75891 92742 96252 101188 107358 128412 139113 144378 151782 161037 185484 214716 216567 227673 232609 278226 288756 303564 322074 328861 417339 433134 455346 465218 483111 556452 644148 657722 683019 697827 733613 797161 834678 866268 910692 930436 966222 986583 1315444 1366038 1395654 1467226 1594322 1669356 1932444 1973166 2093481 2200839 2391483 2732076 2791308 2934452 2959749 3188644 3946332 4186962 4401678 4782966 5919498 6280443 6602517 7174449 8373924 8803356 8879247 9536969 9565932 10363093 11838996 12560886 13205034 14348898 17758494 19073938 19807551 20726186 21523347 23117669 25121772 26410068 28610907 28697796 31089279 32683601 35516988 38147876 39615102 41452372 43046694 46235338 57221814 62178558 65367202 69353007 79230204 85832721 86093388 92470676 93267837 98050803 114443628 124357116 130734404 138706014 171665442 186535674 196101606 208059021 257498163 277412028 279803511 294152409 300529697 343330884 373071348 392203212 416118042 424886813 491848337 514996326 559607022 588304818 601059394 624177063 832236084 849773626 882457227 901589091 947824429 983696674 1029992652 1119214044 1176609636 1202118788 1248354126 1274660439 1475545011 1699547252 1764914454 1803178182 1895648858 1967393348 2496708252 2549320878 2704767273 2843473287 2951090022 3529828908 3606356364 3791297716 3823981317 4426635033 5098641756 5409534546 5686946574 5902180044 6394028381 7647962634 8114301819 8530419861 8853270066 10819069092 11373893148 11471943951 12321717577 12788056762 13279905099 14263601773 15295925268 16228603638 17060839722 17706540132 19182085143 20165781817 22943887902 24643435154 25576113524 25591259583 26559810198 28527203546 32457207276 34121679444 36965152731 38364170286 40331563634 42790805319 45887775804 49286870308 51182519166 53119620396 57054407092 57546255429 60497345451 73930305462 76728340572 80663127268 85581610638 102365038332 110895458193 115092510858 120994690902 128372415957 147860610924 171163221276 172638766287 181492036353 185426823049 221790916386 230185021716 241989381804 256744831914 262155163621 332686374579 345277532574 362984072706 370853646098 385117247871 443581832772 513489663828 524310327242 544476109059 556280469147 584807672693 665372749158 690555065148 725968145412 741707292196 770234495742 786465490863 1048620654484 1088952218118 1112560938294 1169615345386 1330745498316 1540468991484 1572930981726 1668841407441 1754423018079 2177904436236 2225121876588 2339230690772 2359396472589 3145861963452 3337682814882 3508846036158 4718792945178 5006524222323 5263269054237 6675365629764 7017692072316 7078189417767 7602499745009 9437585890356 10013048444646 10526538108474 14156378835534 15204999490018 15789807162711 20026096889292 21053076216948 22807499235027 28312757671068 30409998980036 31579614325422 45614998470054 63159228650844 68422497705081 91229996940108 136844995410162 205267493115243 273689990820324 410534986230486 821069972460972
• Sum of all divisors σ(n): 2433277696147200
• Sum of proper divisors (its aliquot sum) s(n): 1612207723686228
• 821069972460972 is an abundant number, because the sum of its proper divisors (1612207723686228) is greater than itself. Its abundance is 791137751225256

Bases of 821069972460972

• Binary: 10111010101100001001000000000010110101010110101100₂
• Hexadecimal: 0x2EAC2400B55AC
• Base-36: 831MC67DF0

Squares and roots of 821069972460972

• 821069972460972 squared (821069972460972²) is 674155899677061318478063184784
• 821069972460972 cubed (821069972460972³) is 553529165982246539191000731846299448464250048
• The square root of 821069972460972 is 28654318.5656363499
• The cube root of 821069972460972 is 93639.7092565913

Scales and comparisons

• 821,069,972,460,972 seconds is equal to 26,107,485 years, 20 weeks, 1 day, 6 hours, 16 minutes, 12 seconds.
• To count from 1 to 821,069,972,460,972 would take you about sixty-five million, two hundred sixty-eight thousand, seven hundred thirteen 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 821069972460972 cubic inches would be around 7803.3 feet tall.

Recreational maths with 821069972460972

• 821069972460972 backwards is 279064279960128
• The number of decimal digits it has is: 15
• The sum of 821069972460972's digits is 72
• More coming soon!