4013744314010401152

Names of 4013744314010401152

• Cardinal: 4013744314010401152 can be written as Four quintillion, thirteen quadrillion, seven hundred forty-four trillion, three hundred fourteen billion, ten million, four hundred one thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.013744314010401152 × 10¹⁸

Factors of 4013744314010401152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 6187706

Divisors of 4013744314010401152

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 168 182 192 208 224 234 252 273 288 312 336 364 384 416 448 468 504 546 576 624 672 728 819 832 896 936 1008 1092 1152 1248 1344 1456 1638 1664 1872 2016 2184 2496 2688 2912 3276 3744 4032 4368 4992 5824 6552 7488 8064 8736 11648 13104 14976 17472 26208 34944 52416 104832 6187681 12375362 18563043 24750724 37126086 43313767 49501448 55689129 74252172 80439853 86627534 99002896 111378258 129941301 148504344 160879706 173255068 198005792 222756516 241319559 259882602 297008688 321759412 346510136 389823903 396011584 445513032 482639118 519765204 563078971 594017376 643518824 693020272 723958677 779647806 792023168 891026064 965278236 1039530408 1126157942 1188034752 1287037648 1386040544 1447917354 1559295612 1689236913 1782052128 1930556472 2079060816 2252315884 2376069504 2574075296 2772081088 2895834708 3118591224 3378473826 3564104256 3861112944 4158121632 4504631768 5067710739 5148150592 5544162176 5791669416 6237182448 6756947652 7128208512 7722225888 8316243264 9009263536 10135421478 10296301184 11583338832 12474364896 13513895304 15444451776 16632486528 18018527072 20270842956 23166677664 24948729792 27027790608 30888903552 36037054144 40541685912 46333355328 49897459584 54055581216 72074108288 81083371824 92666710656 108111162432 162166743648 216222324864 324333487296 648666974592 38287396157761 76574792315522 114862188473283 153149584631044 229724376946566 268011773104327 306299169262088 344586565419849 459448753893132 497736150050893 536023546208654 612598338524176 689173130839698 804035319312981 918897507786264 995472300101786 1072047092417308 1225196677048352 1378346261679396 1493208450152679 1608070638625962 1837795015572528 1990944600203572 2144094184834616 2412105957938943 2450393354096704 2756692523358792 2986416900305358 3216141277251924 3484153050356251 3675590031145056 3981889200407144 4288188369669232 4479625350458037 4824211915877886 4900786708193408 5513385046717584 5972833800610716 6432282554503848 6968306100712502 7351180062290112 7963778400814288 8576376739338464 8959250700916074 9648423831755772 10452459151068753 11026770093435168 11945667601221432 12864565109007696 13936612201425004 14702360124580224 15927556801628576 17152753478676928 17918501401832148 19296847663511544 20904918302137506 22053540186870336 23891335202442864 25729130218015392 27873224402850008 31357377453206259 31855113603257152 34305506957353856 35837002803664296 38593695327023088 41809836604275012 44107080373740672 47782670404885728 51458260436030784 55746448805700016 62714754906412518 63710227206514304 71674005607328592 77187390654046176 83619673208550024 95565340809771456 102916520872061568 111492897611400032 125429509812825036 143348011214657184 154374781308092352 167239346417100048 191130681619542912 222985795222800064 250859019625650072 286696022429314368 308749562616184704 334478692834200096 445971590445600128 501718039251300144 573392044858628736 668957385668400192 1003436078502600288 1337914771336800384 2006872157005200576 4013744314010401152
• Sum of all divisors σ(n): 14215346742816077040
• Sum of proper divisors (its aliquot sum) s(n): 10201602428805675888
• 4013744314010401152 is an abundant number, because the sum of its proper divisors (10201602428805675888) is greater than itself. Its abundance is 6187858114795274736

Bases of 4013744314010401152

• Binary: 11011110110011101011110011000000010111110101010111100110000000₂
• Hexadecimal: 0x37B3AF3017D57980
• Base-36: UHSXM2OIMOW0

Squares and roots of 4013744314010401152

• 4013744314010401152 squared (4013744314010401152²) is 16110143418250825725398207639962927104
• 4013744314010401152 cubed (4013744314010401152³) is 64661996542896339631557007713187934852667302335173623808
• The square root of 4013744314010401152 is 2003433131.9039328377
• The cube root of 4013744314010401152 is 1589217.1183813831

Scales and comparisons

• 4,013,744,314,010,401,152 seconds is equal to 127,624,653,859 years, 10 weeks, 4 days, 19 minutes, 12 seconds.
• To count from 1 to 4,013,744,314,010,401,152 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 4013744314010401152 cubic inches would be around 132434.8 feet tall.

Recreational maths with 4013744314010401152

• 4013744314010401152 backwards is 2511040104134473104
• The number of decimal digits it has is: 19
• The sum of 4013744314010401152's digits is 45
• More coming soon!