138828017664

Names of 138828017664

• Cardinal: 138828017664 can be written as One hundred thirty-eight billion, eight hundred twenty-eight million, seventeen thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.38828017664 × 10¹¹

Factors of 138828017664

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 148

Divisors of 138828017664

• Number of divisors d(n): 780
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 64 69 72 81 84 92 96 108 112 113 126 128 138 144 161 162 168 184 189 192 207 216 224 226 252 256 276 288 322 324 336 339 368 378 384 414 432 448 452 483 504 512 529 552 567 576 621 644 648 672 678 736 756 768 791 828 864 896 904 966 1008 1017 1024 1058 1104 1134 1152 1242 1288 1296 1344 1356 1449 1472 1512 1536 1582 1587 1656 1728 1792 1808 1863 1932 2016 2034 2048 2116 2208 2268 2304 2373 2484 2576 2592 2599 2688 2712 2898 2944 3024 3051 3072 3164 3174 3312 3456 3584 3616 3703 3726 3864 4032 4068 4096 4232 4347 4416 4536 4608 4746 4761 4968 5152 5184 5198 5376 5424 5796 5888 6048 6102 6144 6328 6348 6624 6912 7119 7168 7232 7406 7452 7728 7797 8064 8136 8464 8694 8832 9072 9153 9216 9492 9522 9936 10304 10368 10396 10752 10848 11109 11592 11776 12096 12204 12288 12656 12696 13041 13248 13824 14238 14283 14336 14464 14812 14904 15456 15594 16128 16272 16928 17388 17664 18144 18193 18306 18432 18984 19044 19872 20608 20736 20792 21357 21504 21696 22218 23184 23391 23552 24192 24408 25312 25392 26082 26496 27648 28476 28566 28672 28928 29624 29808 30912 31188 32256 32544 33327 33856 34776 35328 36288 36386 36612 36864 37968 38088 39744 41216 41472 41584 42714 42849 43008 43392 44436 46368 46782 47104 48384 48816 50624 50784 52164 52992 54579 55296 56952 57132 57856 59248 59616 59777 61824 62376 64071 64512 65088 66654 67712 69552 70173 70656 72576 72772 73224 75936 76176 79488 82432 82944 83168 85428 85698 86016 86784 88872 92736 93564 94208 96768 97632 99981 101248 101568 104328 105984 109158 110592 113904 114264 115712 118496 119232 119554 123648 124752 128142 129024 130176 133308 135424 139104 140346 141312 145152 145544 146448 151872 152352 158976 163737 164864 165888 166336 170856 171396 173568 177744 179331 185472 187128 193536 195264 199962 202496 203136 208656 210519 211968 218316 227808 228528 231424 236992 238464 239108 247296 249504 256284 258048 260352 266616 270848 278208 280692 282624 290304 291088 292896 299943 303744 304704 317952 327474 329728 331776 332672 341712 342792 347136 355488 358662 370944 374256 387072 390528 399924 404992 406272 417312 418439 421038 423936 436632 455616 457056 462848 473984 476928 478216 491211 494592 499008 512568 520704 533232 537993 541696 556416 561384 580608 582176 585792 599886 607488 609408 635904 654948 659456 665344 683424 685584 694272 710976 717324 741888 748512 774144 781056 799848 809984 812544 834624 836878 842076 847872 873264 911232 914112 947968 953856 956432 982422 989184 998016 1025136 1041408 1066464 1075986 1083392 1112832 1122768 1161216 1164352 1171584 1199772 1214976 1218816 1255317 1271808 1309896 1330688 1366848 1371168 1388544 1421952 1434648 1473633 1483776 1497024 1562112 1599696 1613979 1619968 1625088 1669248 1673756 1684152 1746528 1822464 1828224 1895936 1907712 1912864 1964844 1978368 1996032 2050272 2082816 2132928 2151972 2166784 2225664 2245536 2322432 2328704 2343168 2399544 2429952 2437632 2510634 2543616 2619792 2661376 2733696 2742336 2843904 2869296 2947266 2967552 2994048 3124224 3199392 3227958 3239936 3250176 3338496 3347512 3368304 3493056 3644928 3656448 3765951 3791872 3815424 3825728 3929688 3992064 4100544 4165632 4265856 4303944 4451328 4491072 4657408 4686336 4799088 4841937 4859904 4875264 5021268 5239584 5322752 5467392 5484672 5687808 5738592 5894532 5935104 5988096 6248448 6398784 6455916 6500352 6676992 6695024 6736608 6986112 7289856 7312896 7531902 7583744 7630848 7651456 7859376 7984128 8201088 8531712 8607888 8902656 8982144 9314816 9372672 9598176 9683874 9719808 9750528 10042536 10479168 10645504 10934784 10969344 11297853 11375616 11477184 11789064 11976192 12496896 12797568 12911832 13353984 13390048 13473216 13972224 14579712 14625792 15063804 15167488 15302912 15718752 15968256 16402176 17063424 17215776 17805312 17964288 18629632 18745344 19196352 19367748 19501056 20085072 20958336 21869568 21938688 22595706 22751232 22954368 23578128 23952384 25595136 25823664 26707968 26780096 26946432 27944448 29159424 29251584 30127608 30605824 31437504 31936512 32804352 33893559 34126848 34431552 35928576 37259264 37490688 38392704 38735496 40170144 41916672 43739136 43877376 45191412 45502464 45908736 47156256 47904768 51190272 51647328 53415936 53560192 53892864 55888896 58503168 60255216 61211648 62875008 65608704 67787118 68253696 68863104 71857152 74518528 76785408 77470992 80340288 83833344 87478272 87754752 90382824 91817472 94312512 95809536 102380544 103294656 107120384 107785728 111777792 120510432 122423296 125750016 131217408 135574236 136507392 137726208 143714304 153570816 154941984 160680576 167666688 175509504 180765648 183634944 188625024 204761088 206589312 214240768 215571456 223555584 241020864 244846592 251500032 262434816 271148472 275452416 287428608 307141632 309883968 321361152 335333376 361531296 367269888 377250048 409522176 413178624 428481536 431142912 482041728 503000064 542296944 550904832 614283264 619767936 642722304 670666752 723062592 734539776 754500096 826357248 856963072 862285824 964083456 1006000128 1084593888 1101809664 1228566528 1239535872 1285444608 1446125184 1509000192 1652714496 1713926144 1928166912 2012000256 2169187776 2203619328 2479071744 2570889216 2892250368 3018000384 3305428992 3856333824 4338375552 4958143488 5141778432 5784500736 6036000768 6610857984 7712667648 8676751104 9916286976 11569001472 15425335296 17353502208 19832573952 23138002944 34707004416 46276005888 69414008832 138828017664
• Sum of all divisors σ(n): 499852957296
• Sum of proper divisors (its aliquot sum) s(n): 361024939632
• 138828017664 is an abundant number, because the sum of its proper divisors (361024939632) is greater than itself. Its abundance is 222196921968

Bases of 138828017664

• Binary: 10000001010010110010110111000000000000₂
• Hexadecimal: 0x2052CB7000
• Base-36: 1RRYM800

Squares and roots of 138828017664

• 138828017664 squared (138828017664²) is 19273218488515896016896
• 138828017664 cubed (138828017664³) is 2675662716765816193378425130450944
• The square root of 138828017664 is 372596.3199818269
• The cube root of 138828017664 is 5177.9641685077

Scales and comparisons

• 138,828,017,664 seconds is equal to 4,414 years, 15 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 138,828,017,664 would take you about eight thousand, eight hundred twenty-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 138828017664 cubic inches would be around 431.5 feet tall.

Recreational maths with 138828017664

• 138828017664 backwards is 466710828831
• 138828017664 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138828017664's digits is 54
• More coming soon!