138814746624

Names of 138814746624

• Cardinal: 138814746624 can be written as One hundred thirty-eight billion, eight hundred fourteen million, seven hundred forty-six thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 1.38814746624 × 10¹¹

Factors of 138814746624

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 85

Divisors of 138814746624

• Number of divisors d(n): 520
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 61 64 72 76 81 96 108 114 122 128 144 152 162 171 183 192 216 228 244 256 288 304 324 342 361 366 384 432 456 488 512 513 549 576 608 648 684 722 732 768 864 912 976 1024 1026 1083 1098 1152 1159 1216 1296 1368 1444 1464 1536 1539 1647 1728 1824 1952 2048 2052 2166 2196 2304 2318 2432 2592 2736 2888 2928 3072 3078 3249 3294 3456 3477 3648 3904 4096 4104 4332 4392 4608 4636 4864 4941 5184 5472 5776 5856 6144 6156 6498 6588 6859 6912 6954 7296 7808 8208 8664 8784 9216 9272 9728 9747 9882 10368 10431 10944 11552 11712 12288 12312 12996 13176 13718 13824 13908 14592 15616 16416 17328 17568 18432 18544 19456 19494 19764 20577 20736 20862 21888 22021 23104 23424 24624 25992 26352 27436 27648 27816 29184 29241 31232 31293 32832 34656 35136 36864 37088 38912 38988 39528 41154 41472 41724 43776 44042 46208 46848 49248 51984 52704 54872 55296 55632 58368 58482 61731 62464 62586 65664 66063 69312 70272 74176 77824 77976 79056 82308 82944 83448 87552 88084 92416 93696 93879 98496 103968 105408 109744 110592 111264 116736 116964 123462 124928 125172 131328 132126 138624 140544 148352 155952 158112 164616 165888 166896 175104 176168 184832 185193 187392 187758 196992 198189 207936 210816 219488 222528 233472 233928 246924 249856 250344 262656 264252 277248 281088 296704 311904 316224 329232 331776 333792 350208 352336 369664 370386 374784 375516 393984 396378 415872 418399 421632 438976 445056 467856 493848 500688 525312 528504 554496 555579 562176 593408 594567 623808 632448 658464 667584 700416 704672 739328 740772 749568 751032 787968 792756 831744 836798 843264 877952 890112 935712 987696 1001376 1050624 1057008 1108992 1111158 1124352 1186816 1189134 1247616 1255197 1264896 1316928 1335168 1409344 1478656 1481544 1502064 1575936 1585512 1663488 1673596 1686528 1755904 1780224 1783701 1871424 1975392 2002752 2101248 2114016 2217984 2222316 2248704 2373632 2378268 2495232 2510394 2529792 2633856 2670336 2818688 2963088 3004128 3151872 3171024 3326976 3347192 3373056 3511808 3560448 3567402 3742848 3765591 3950784 4005504 4228032 4435968 4444632 4747264 4756536 4990464 5020788 5059584 5267712 5340672 5637376 5926176 6008256 6303744 6342048 6653952 6694384 6746112 7023616 7120896 7134804 7485696 7531182 7901568 8011008 8456064 8889264 9513072 9980928 10041576 10119168 10535424 10681344 11274752 11296773 11852352 12016512 12684096 13307904 13388768 14047232 14241792 14269608 14971392 15062364 15803136 16022016 16912128 17778528 19026144 19961856 20083152 20238336 21070848 21362688 22549504 22593546 23704704 24033024 25368192 26777536 28094464 28539216 29942784 30124728 31606272 32044032 33824256 33890319 35557056 38052288 39923712 40166304 42141696 42725376 45099008 45187092 47409408 48066048 50736384 53555072 57078432 59885568 60249456 63212544 64088064 67648512 67780638 71114112 76104576 80332608 84283392 90198016 90374184 94818816 96132096 101472768 107110144 114156864 119771136 120498912 126425088 128176128 135297024 135561276 142228224 152209152 160665216 180748368 189637632 192264192 202945536 214220288 228313728 240997824 252850176 270594048 271122552 284456448 304418304 321330432 361496736 379275264 384528384 405891072 428440576 456627456 481995648 542245104 568912896 608836608 642660864 722993472 758550528 811782144 856881152 913254912 963991296 1084490208 1137825792 1217673216 1285321728 1445986944 1713762304 1826509824 1927982592 2168980416 2275651584 2435346432 2570643456 2891973888 3653019648 3855965184 4337960832 5141286912 5783947776 7306039296 7711930368 8675921664 11567895552 15423860736 17351843328 23135791104 34703686656 46271582208 69407373312 138814746624
• Sum of all divisors σ(n): 444889905680
• Sum of proper divisors (its aliquot sum) s(n): 306075159056
• 138814746624 is an abundant number, because the sum of its proper divisors (306075159056) is greater than itself. Its abundance is 167260412432

Bases of 138814746624

• Binary: 10000001010010000000001111000000000000₂
• Hexadecimal: 0x205200F000
• Base-36: 1RRQPS00

Squares and roots of 138814746624

• 138814746624 squared (138814746624²) is 19269533880285319397376
• 138814746624 cubed (138814746624³) is 2674895463154390160973661810458624
• The square root of 138814746624 is 372578.5106846609
• The cube root of 138814746624 is 5177.7991702113

Scales and comparisons

• 138,814,746,624 seconds is equal to 4,413 years, 45 weeks, 5 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,814,746,624 would take you about eight thousand, eight hundred twenty-seven 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 138814746624 cubic inches would be around 431.5 feet tall.

Recreational maths with 138814746624

• 138814746624 backwards is 426647418831
• 138814746624 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138814746624's digits is 54
• More coming soon!