46838986867505152

Names of 46838986867505152

• Cardinal: 46838986867505152 can be written as Forty-six quadrillion, eight hundred thirty-eight trillion, nine hundred eighty-six billion, eight hundred sixty-seven million, five hundred five thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.6838986867505152 × 10¹⁶

Factors of 46838986867505152

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 489

Divisors of 46838986867505152

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 16 32 64 103 127 128 206 254 256 257 412 508 512 514 824 1016 1024 1028 1648 2032 2048 2056 3296 4064 4112 6592 8128 8224 10609 13081 13184 16256 16448 21218 26162 26368 26471 32512 32639 32896 42436 52324 52736 52942 65024 65278 65792 66049 84872 104648 105472 105884 130048 130556 131584 132098 169744 209296 210944 211768 260096 261112 263168 264196 339488 418592 423536 522224 526336 528392 678976 837184 847072 1044448 1056784 1347343 1357952 1674368 1694144 2088896 2113568 2694686 2715904 2726513 3348736 3361817 3388288 4177792 4227136 5389372 5431808 5453026 6697472 6723634 6776576 6803047 8355584 8388223 8454272 10778744 10863616 10906052 13394944 13447268 13553152 13606094 16711168 16776446 16908544 16974593 21557488 21727232 21812104 26789888 26894536 27106304 27212188 33422336 33552892 33817088 33949186 43114976 43624208 53789072 54212608 54424376 66844672 67105784 67634176 67898372 86229952 87248416 107578144 108848752 134211568 135268352 135796744 172459904 174496832 215156288 217697504 268423136 271593488 344919808 346267151 348993664 430312576 435395008 536846272 543186976 689839616 692534302 697987328 700713841 860625152 863986969 870790016 1073692544 1086373952 1379679232 1385068604 1395974656 1401427682 1721250304 1727973938 1741580032 1748383079 2147385088 2155773311 2172747904 2759358464 2770137208 2791949312 2802855364 3442500608 3455947876 3483160064 3496766158 4294770176 4311546622 4345495808 5540274416 5583898624 5605710728 6885001216 6911895752 6966320128 6993532316 8589540352 8623093244 8690991616 11080548832 11211421456 13823791504 13932640256 13987064632 17179080704 17246186488 17381983232 22161097664 22422842912 27647583008 27974129264 34492372976 34763966464 44322195328 44845685824 55295166016 55948258528 68984745952 88644390656 88990657807 89691371648 110590332032 111896517056 137969491904 177288781312 177981315614 179382743296 180083457137 221180664064 222044651033 223793034112 275938983808 354577562624 355962631228 358765486592 360166914274 442361328128 444089302066 447586068224 551877967616 709155125248 711925262456 717530973184 720333828548 884722656256 888178604132 895172136448 1103755935232 1423850524912 1435061946368 1440667657096 1769445312512 1776357208264 1790344272896 2207511870464 2847701049824 2881335314192 3552714416528 3580688545792 4415023740928 5695402099648 5762670628384 7105428833056 11390804199296 11525341256768 14210857666112 22781608398592 22870599056399 23050682513536 28421715332224 45563216797184 45741198112798 46101365027072 56843430664448 91126433594368 91482396225596 92202730054144 113686861328896 182252867188736 182964792451192 184405460108288 227373722657792 365929584902384 368810920216576 454747445315584 731859169804768 1463718339609536 2927436679219072 5854873358438144 11709746716876288 23419493433752576 46838986867505152
• Sum of all divisors σ(n): 95690210196672000
• Sum of proper divisors (its aliquot sum) s(n): 48851223329166848
• 46838986867505152 is an abundant number, because the sum of its proper divisors (48851223329166848) is greater than itself. Its abundance is 2012236461661696

Bases of 46838986867505152

• Binary: 10100110011001111100111101110101111000000111100000000000₂
• Hexadecimal: 0xA667CF75E07800
• Base-36: CT719II3XTS

Squares and roots of 46838986867505152

• 46838986867505152 squared (46838986867505152²) is 2193890690774320091476932746543104
• 46838986867505152 cubed (46838986867505152³) is 102759617253920185095768320891624443436196910071808
• The square root of 46838986867505152 is 216423166.1987809289
• The cube root of 46838986867505152 is 360470.0312754873

Scales and comparisons

• 46,838,986,867,505,152 seconds is equal to 1,489,334,899 years, 46 weeks, 1 day, 2 hours, 5 minutes, 52 seconds.
• To count from 1 to 46,838,986,867,505,152 would take you about four billion, four hundred sixty-eight million, four thousand, six hundred ninety-nine 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 46838986867505152 cubic inches would be around 30039.2 feet tall.

Recreational maths with 46838986867505152

• 46838986867505152 backwards is 25150576868983864
• The number of decimal digits it has is: 17
• The sum of 46838986867505152's digits is 91
• More coming soon!