138746811200480

Names of 138746811200480

• Cardinal: 138746811200480 can be written as One hundred thirty-eight trillion, seven hundred forty-six billion, eight hundred eleven million, two hundred thousand, four hundred eighty.

Scientific notation

• Scientific notation: 1.3874681120048 × 10¹⁴

Factors of 138746811200480

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 61236354

Divisors of 138746811200480

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 68 70 80 85 98 112 119 136 140 160 170 196 224 238 245 272 280 289 340 392 476 490 544 560 578 595 680 784 833 952 980 1120 1156 1190 1360 1445 1568 1666 1904 1960 2023 2312 2380 2720 2890 3332 3808 3920 4046 4165 4624 4760 5780 6664 7840 8092 8330 9248 9520 10115 11560 13328 14161 16184 16660 19040 20230 23120 26656 28322 32368 33320 40460 46240 56644 64736 66640 70805 80920 113288 133280 141610 161840 226576 283220 323680 453152 566440 1132880 2265760 61236323 122472646 244945292 306181615 428654261 489890584 612363230 857308522 979781168 1041017491 1224726460 1714617044 1959562336 2082034982 2143271305 2449452920 3000579827 3429234088 4164069964 4286542610 4898905840 5205087455 6001159654 6858468176 7287122437 8328139928 8573085220 9797811680 10410174910 12002319308 13716936352 14574244874 15002899135 16656279856 17146170440 17697297347 20820349820 24004638616 29148489748 30005798270 33312559712 34292340880 35394594694 36435612185 41640699640 48009277232 51009857059 58296979496 60011596540 68584681760 70789189388 72871224370 83281399280 88486486735 96018554464 102019714118 116593958992 120023193080 123881081429 141578378776 145742448740 166562798560 176972973470 204039428236 233187917984 240046386160 247762162858 255049285295 283156757552 291484897480 353945946940 408078856472 480092772320 495524325716 510098570590 566313515104 582969794960 619405407145 707891893880 816157712944 867167570003 991048651432 1020197141180 1165939589920 1238810814290 1415783787760 1632315425888 1734335140006 1982097302864 2040394282360 2477621628580 2831567575520 3468670280012 3964194605728 4080788564720 4335837850015 4955243257160 6937340560024 8161577129440 8671675700030 9910486514320 13874681120048 17343351400060 19820973028640 27749362240096 34686702800120 69373405600240 138746811200480
• Sum of all divisors σ(n): 405055135929528
• Sum of proper divisors (its aliquot sum) s(n): 266308324729048
• 138746811200480 is an abundant number, because the sum of its proper divisors (266308324729048) is greater than itself. Its abundance is 127561513528568

Bases of 138746811200480

• Binary: 11111100011000010000010011001010011001111100000₂
• Hexadecimal: 0x7E30826533E0
• Base-36: 1D6JEL1VQ8

Squares and roots of 138746811200480

• 138746811200480 squared (138746811200480²) is 19250677618301642378752230400
• 138746811200480 cubed (138746811200480³) is 2670970132987803965031439391229501550592000
• The square root of 138746811200480 is 11779083.6316107375
• The cube root of 138746811200480 is 51769.5436712781

Scales and comparisons

• 138,746,811,200,480 seconds is equal to 4,411,719 years, 22 weeks, 9 hours, 1 minute, 20 seconds.
• To count from 1 to 138,746,811,200,480 would take you about eleven million, twenty-nine thousand, two hundred ninety-eight 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 138746811200480 cubic inches would be around 4314.1 feet tall.

Recreational maths with 138746811200480

• 138746811200480 backwards is 084002118647831
• The number of decimal digits it has is: 15
• The sum of 138746811200480's digits is 53
• More coming soon!