38846945536848960

Names of 38846945536848960

• Cardinal: 38846945536848960 can be written as Thirty-eight quadrillion, eight hundred forty-six trillion, nine hundred forty-five billion, five hundred thirty-six million, eight hundred forty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.884694553684896 × 10¹⁶

Factors of 38846945536848960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3761090188

Divisors of 38846945536848960

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 53 56 58 60 64 70 80 84 87 96 105 106 112 116 120 140 145 159 160 168 174 192 203 210 212 224 232 240 265 280 290 318 320 336 348 371 406 420 424 435 448 464 480 530 560 580 609 636 672 696 742 795 812 840 848 870 928 960 1015 1060 1113 1120 1160 1218 1272 1344 1392 1484 1537 1590 1624 1680 1696 1740 1855 1856 2030 2120 2226 2240 2320 2436 2544 2784 2968 3045 3074 3180 3248 3360 3392 3480 3710 4060 4240 4452 4611 4640 4872 5088 5565 5568 5936 6090 6148 6360 6496 6720 6960 7420 7685 8120 8480 8904 9222 9280 9744 10176 10759 11130 11872 12180 12296 12720 12992 13920 14840 15370 16240 16960 17808 18444 19488 21518 22260 23055 23744 24360 24592 25440 27840 29680 30740 32277 32480 35616 36888 38976 43036 44520 46110 48720 49184 50880 53795 59360 61480 64554 64960 71232 73776 86072 89040 92220 97440 98368 107590 118720 122960 129108 147552 161385 172144 178080 184440 194880 215180 245920 258216 295104 322770 344288 356160 368880 430360 491840 516432 645540 688576 737760 860720 1032864 1291080 1475520 1721440 2065728 2582160 3442880 5164320 10328640 3761090089 7522180178 11283270267 15044360356 18805450445 22566540534 26327630623 30088720712 37610900890 45133081068 52655261246 56416351335 60177441424 75221801780 78982891869 90266162136 105310522492 109071612581 112832702670 120354882848 131638153115 150443603560 157965783738 180532324272 199337774717 210621044984 218143225162 225665405340 240709765696 263276306230 300887207120 315931567476 327214837743 361064648544 394914459345 398675549434 421242089968 436286450324 451330810680 526552612460 545358062905 598013324151 601774414240 631863134952 654429675486 722129297088 763501288067 789828918690 797351098868 842484179936 872572900648 902661621360 996688873585 1053105224920 1090716125810 1196026648302 1203548828480 1263726269904 1308859350972 1395364423019 1527002576134 1579657837380 1594702197736 1636074188715 1684968359872 1745145801296 1805323242720 1993377747170 2106210449840 2181432251620 2290503864201 2392053296604 2527452539808 2617718701944 2790728846038 2990066620755 3054005152268 3159315674760 3189404395472 3272148377430 3490291602592 3610646485440 3817506440335 3986755494340 4186093269057 4212420899680 4362864503240 4581007728402 4784106593208 5054905079616 5235437403888 5581457692076 5780795466793 5980133241510 6108010304536 6318631349520 6378808790944 6544296754860 6976822115095 6980583205184 7635012880670 7973510988680 8372186538114 8424841799360 8725729006480 9162015456804 9568213186416 10470874807776 11162915384152 11452519321005 11561590933586 11960266483020 12216020609072 12637262699040 12757617581888 13088593509720 13953644230190 15270025761340 15947021977360 16744373076228 17342386400379 17451458012960 18324030913608 19136426372832 20930466345285 20941749615552 22325830768304 22905038642010 23123181867172 23920532966040 24432041218144 25274525398080 26177187019440 27907288460380 28903977333965 30540051522680 31894043954720 33488746152456 34684772800758 34902916025920 36648061827216 38272852745664 40465568267551 41860932690570 44651661536608 45810077284020 46246363734344 47841065932080 48864082436288 52354374038880 55814576920760 57807954667930 61080103045360 63788087909440 66977492304912 69369545601516 73296123654432 80931136535102 83721865381140 86711932001895 89303323073216 91620154568040 92492727468688 95682131864160 104708748077760 111629153841520 115615909335860 121396704802653 122160206090720 133954984609824 138739091203032 146592247308864 161862273070204 167443730762280 173423864003790 183240309136080 184985454937376 191364263728320 202327841337755 223258307683040 231231818671720 242793409605306 244320412181440 267909969219648 277478182406064 323724546140408 334887461524560 346847728007580 366480618272160 369970909874752 404655682675510 446516615366080 462463637343440 485586819210612 554956364812128 606983524013265 647449092280816 669774923049120 693695456015160 732961236544320 809311365351020 924927274686880 971173638421224 1109912729624256 1213967048026530 1294898184561632 1339549846098240 1387390912030320 1618622730702040 1849854549373760 1942347276842448 2427934096053060 2589796369123264 2774781824060640 3237245461404080 3884694553684896 4855868192106120 5549563648121280 6474490922808160 7769389107369792 9711736384212240 12948981845616320 19423472768424480 38846945536848960
• Sum of all divisors σ(n): 148570881622387200
• Sum of proper divisors (its aliquot sum) s(n): 109723936085538240
• 38846945536848960 is an abundant number, because the sum of its proper divisors (109723936085538240) is greater than itself. Its abundance is 70876990548689280

Bases of 38846945536848960

• Binary: 10001010000000110001011101010101010101010011010001000000₂
• Hexadecimal: 0x8A031755553440
• Base-36: AMI3CEU88QO

Squares and roots of 38846945536848960

• 38846945536848960 squared (38846945536848960²) is 1509085177542909333061205853081600
• 38846945536848960 cubed (38846945536848960³) is 58623349702475442116741576236540974284769755136000
• The square root of 38846945536848960 is 197096284.9392371471
• The cube root of 38846945536848960 is 338676.9387310035

Scales and comparisons

• 38,846,945,536,848,960 seconds is equal to 1,235,212,706 years, 30 weeks, 1 day, 16 minutes.
• To count from 1 to 38,846,945,536,848,960 would take you about three billion, seven hundred five million, six hundred thirty-eight thousand, one hundred nineteen 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 38846945536848960 cubic inches would be around 28223.1 feet tall.

Recreational maths with 38846945536848960

• 38846945536848960 backwards is 06984863554964883
• 38846945536848960 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 38846945536848960's digits is 96
• More coming soon!