46889916993673216

Names of 46889916993673216

• Cardinal: 46889916993673216 can be written as Forty-six quadrillion, eight hundred eighty-nine trillion, nine hundred sixteen billion, nine hundred ninety-three million, six hundred seventy-three thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.6889916993673216 × 10¹⁶

Factors of 46889916993673216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 8165

Divisors of 46889916993673216

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 8 16 19 32 38 64 76 128 152 256 257 304 463 512 514 608 926 1024 1028 1216 1801 1852 2048 2056 2432 3602 3704 4112 4864 4883 5623 7204 7408 8224 8797 9728 9766 11246 14408 14816 16448 17594 19456 19532 22492 28816 29632 32896 34219 35188 38912 39064 44984 57632 59264 65792 68438 70376 78128 89968 106837 115264 118528 118991 131584 136876 140752 156256 179936 213674 230528 237056 237982 263168 273752 281504 312512 359872 427348 461056 462857 474112 475964 526336 547504 563008 625024 719744 833863 854696 922112 925714 948224 951928 1095008 1126016 1250048 1439488 1445111 1667726 1709392 1844224 1851428 1903856 2190016 2252032 2260829 2500096 2603449 2878976 2890222 3335452 3418784 3688448 3702856 3807712 4380032 4504064 4521658 5000192 5206898 5757952 5780444 6670904 6837568 7405712 7615424 8760064 8794283 9008128 9043316 10000384 10127023 10413796 11515904 11560888 13341808 13675136 14811424 15230848 15843397 17520128 17588566 18016256 18086632 20254046 20827592 23121776 26683616 27350272 27457109 29622848 30461696 31686794 35040256 35177132 36173264 40508092 41655184 46243552 49465531 53367232 54700544 54914218 59245696 60923392 63373588 70080512 70354264 72346528 81016184 83310368 92487104 98931062 106734464 109401088 109828436 118491392 121846784 126747176 140708528 144693056 162032368 166620736 184974208 192413437 197862124 213468928 214302791 218802176 219656872 236982784 243693568 253494352 281417056 289386112 324064736 333241472 369948416 384826874 395724248 426937856 428605582 439313744 473965568 506988704 562834112 578772224 648129472 666482944 669086393 739896832 769653748 791448496 853875712 857211164 878627488 947931136 1013977408 1125668224 1157544448 1296258944 1332965888 1338172786 1479793664 1539307496 1582896992 1707751424 1714422328 1757254976 2027954816 2251336448 2315088896 2592517888 2602644911 2665931776 2676345572 2959587328 3078614992 3165793984 3428844656 3514509952 4055909632 4071753029 4502672896 4630177792 4688811649 5185035776 5205289822 5331863552 5352691144 6157229984 6331587968 6857689312 7029019904 8111819264 8143506058 9005345792 9377623298 10370071552 10410579644 10705382288 12314459968 12663175936 12712641467 13715378624 14058039808 16223638528 16287012116 18010691584 18755246596 20740143104 20821159288 21410764576 24628919936 25326351872 25425282934 27430757248 28116079616 32447277056 32574024232 37510493192 41642318576 42821529152 49257839872 49450253309 50652703744 50850565868 54861514496 56232159232 65148048464 75020986384 83284637152 85643058304 89087421331 98515679744 98900506618 101305407488 101701131736 109723028992 130296096928 150041972768 166569274304 171286116608 178174842662 197031359488 197801013236 203402263472 219446057984 260592193856 300083945536 333138548608 342572233216 356349685324 394062718976 395602026472 406804526944 438892115968 521184387712 600167891072 666277097216 685144466432 712699370648 791204052944 813609053888 1042368775424 1200335782144 1205024593793 1332554194432 1370288932864 1425398741296 1582408105888 1627218107776 2084737550848 2400671564288 2410049187586 2665108388864 2850797482592 3164816211776 3254436215552 4169475101696 4801343128576 4820098375172 5330216777728 5701594965184 6329632423552 6508872431104 8338950203392 9602686257152 9640196750344 11403189930368 12659264847104 13017744862208 19280393500688 22806379860736 22895467282067 25318529694208 26035489724416 38560787001376 45612759721472 45790934564134 50637059388416 77121574002752 91225519442944 91581869128268 101274118776832 154243148005504 182451038885888 183163738256536 308486296011008 366327476513072 616972592022016 732654953026144 1233945184044032 1465309906052288 2467890368088064 2930619812104576 5861239624209152 11722479248418304 23444958496836608 46889916993673216
• Sum of all divisors σ(n): 99362311692134400
• Sum of proper divisors (its aliquot sum) s(n): 52472394698461184
• 46889916993673216 is an abundant number, because the sum of its proper divisors (52472394698461184) is greater than itself. Its abundance is 5582477704787968

Bases of 46889916993673216

• Binary: 10100110100101100010000110001101111101001001100000000000₂
• Hexadecimal: 0xA696218DF49800
• Base-36: CTP36HO93WG

Squares and roots of 46889916993673216

• 46889916993673216 squared (46889916993673216²) is 2198664315673564246766172195782656
• 46889916993673216 cubed (46889916993673216³) is 103095187258884752411258877168544219890029424541696
• The square root of 46889916993673216 is 216540797.5271016129
• The cube root of 46889916993673216 is 360600.6356808313

Scales and comparisons

• 46,889,916,993,673,216 seconds is equal to 1,490,954,320 years, 18 weeks, 5 days, 23 hours, 16 seconds.
• To count from 1 to 46,889,916,993,673,216 would take you about four billion, four hundred seventy-two million, eight hundred sixty-two thousand, nine hundred sixty-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 46889916993673216 cubic inches would be around 30050.1 feet tall.

Recreational maths with 46889916993673216

• 46889916993673216 backwards is 61237639961998864
• The number of decimal digits it has is: 17
• The sum of 46889916993673216's digits is 97
• More coming soon!