138444376824

Names of 138444376824

• Cardinal: 138444376824 can be written as One hundred thirty-eight billion, four hundred forty-four million, three hundred seventy-six thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.38444376824 × 10¹¹

Factors of 138444376824

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 166

Divisors of 138444376824

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 131 136 153 156 169 204 216 221 234 262 306 312 338 351 393 408 442 459 468 507 524 612 663 676 702 786 884 918 936 1014 1048 1179 1224 1326 1352 1404 1521 1572 1703 1768 1836 1989 2028 2197 2227 2358 2652 2808 2873 3042 3144 3406 3537 3672 3978 4056 4394 4454 4563 4716 5109 5304 5746 5967 6084 6591 6681 6812 7074 7956 8619 8788 8908 9126 9432 10218 11492 11934 12168 13182 13362 13624 14148 15327 15912 17161 17238 17576 17816 18252 19773 20043 20436 22139 22984 23868 25857 26364 26724 28296 28951 30654 34322 34476 36504 37349 39546 40086 40872 44278 45981 47736 51483 51714 52728 53448 57902 59319 60129 61308 66417 68644 68952 74698 77571 79092 80172 86853 88556 91962 102966 103428 112047 115804 118638 120258 122616 132834 137288 149396 154449 155142 158184 160344 173706 177112 183924 199251 205932 206856 223093 224094 231608 237276 240516 260559 265668 287807 291737 298792 308898 310284 336141 347412 367848 376363 398502 411864 446186 448188 463347 474552 481032 521118 531336 575614 583474 597753 617796 620568 669279 672282 694824 752726 781677 797004 863421 875211 892372 896376 926694 1008423 1042236 1129089 1151228 1166948 1195506 1235592 1338558 1344564 1505452 1563354 1594008 1726842 1750422 1784744 1853388 2007837 2016846 2084472 2258178 2302456 2333896 2391012 2590263 2625633 2677116 2689128 2900209 3010904 3126708 3387267 3453684 3500844 3706776 3792581 4015674 4033692 4516356 4782024 4892719 5180526 5251266 5354232 5800418 6023511 6253416 6774534 6907368 7001688 7585162 7770789 7876899 8031348 8067384 8700627 9032712 9785438 10161801 10361052 10502532 11377743 11600836 12047022 13549068 14678157 15170324 15541578 15753798 16062696 17401254 19570876 20323602 20722104 21005064 22755486 23201672 24094044 26101881 27098136 29356314 30340648 31083156 31507596 34133229 34802508 37702717 39141752 40647204 44034471 45510972 48188088 49303553 52203762 58712628 62166312 63015192 68266458 69605016 75405434 78305643 81294408 88068942 91021944 98607106 102399687 104407524 113108151 117425256 132103413 136532916 147910659 150810868 156611286 176137884 197214212 204799374 208815048 226216302 264206826 273065832 295821318 301621736 313222572 339324453 352275768 394428424 409598748 443731977 452432604 528413652 591642636 626445144 640946189 678648906 819197496 887463954 904865208 1017973359 1056827304 1183285272 1281892378 1331195931 1357297812 1774927908 1922838567 2035946718 2563784756 2662391862 2714595624 3549855816 3845677134 4071893436 5127569512 5324783724 5768515701 7691354268 8143786872 10649567448 11537031402 15382708536 17305547103 23074062804 34611094206 46148125608 69222188412 138444376824
• Sum of all divisors σ(n): 444499272000
• Sum of proper divisors (its aliquot sum) s(n): 306054895176
• 138444376824 is an abundant number, because the sum of its proper divisors (306054895176) is greater than itself. Its abundance is 167610518352

Bases of 138444376824

• Binary: 10000000111011111011011000101011111000₂
• Hexadecimal: 0x203BED8AF8
• Base-36: 1RLM7GU0

Squares and roots of 138444376824

• 138444376824 squared (138444376824²) is 19166845474185708326976
• 138444376824 cubed (138444376824³) is 2653541977355545168175219948404224
• The square root of 138444376824 is 372081.1427954929
• The cube root of 138444376824 is 5173.1901293783

Scales and comparisons

• 138,444,376,824 seconds is equal to 4,402 years, 5 weeks, 2 days, 11 hours, 20 minutes, 24 seconds.
• To count from 1 to 138,444,376,824 would take you about eight thousand, eight hundred four 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 138444376824 cubic inches would be around 431.1 feet tall.

Recreational maths with 138444376824

• 138444376824 backwards is 428673444831
• 138444376824 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138444376824's digits is 54
• More coming soon!