138920313168

Names of 138920313168

• Cardinal: 138920313168 can be written as One hundred thirty-eight billion, nine hundred twenty million, three hundred thirteen thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38920313168 × 10¹¹

Factors of 138920313168

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 562

Divisors of 138920313168

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 36 39 42 46 47 48 49 52 54 56 63 69 72 78 84 91 92 94 98 104 108 112 117 126 138 141 144 147 156 161 168 182 184 188 189 196 207 208 216 234 252 273 276 282 294 299 312 322 329 336 351 364 368 376 378 392 414 423 432 441 467 468 483 504 546 552 564 588 598 611 621 624 637 644 658 702 728 752 756 784 819 828 846 882 897 934 936 966 987 1008 1081 1092 1104 1127 1128 1176 1196 1222 1242 1269 1274 1288 1316 1323 1401 1404 1449 1456 1512 1638 1656 1692 1764 1794 1833 1868 1872 1911 1932 1974 2093 2162 2184 2254 2256 2303 2352 2392 2444 2457 2484 2538 2548 2576 2632 2646 2691 2802 2808 2898 2961 3024 3243 3269 3276 3312 3381 3384 3528 3588 3666 3736 3822 3864 3948 4186 4203 4277 4324 4347 4368 4508 4606 4784 4888 4914 4968 5076 5096 5264 5292 5382 5499 5604 5616 5733 5796 5922 6071 6279 6486 6538 6552 6762 6768 6909 7056 7176 7332 7472 7567 7644 7728 7896 8073 8372 8406 8554 8648 8694 8883 9016 9212 9729 9776 9807 9828 9936 10143 10152 10192 10584 10741 10764 10998 11208 11466 11592 11844 12142 12558 12609 12831 12972 13076 13104 13524 13818 14053 14352 14651 14664 15134 15288 15792 16146 16497 16744 16812 17108 17199 17296 17388 17766 18032 18213 18424 18837 19458 19614 19656 20286 20304 20727 21168 21482 21528 21949 21996 22416 22701 22883 22932 23184 23688 24284 25116 25218 25662 25944 26152 27048 27636 28106 29187 29302 29328 29421 29939 30268 30429 30576 32223 32292 32994 33488 33624 34216 34398 34776 35532 36426 36848 37674 38493 38916 39228 39312 40572 41454 42159 42497 42964 43056 43898 43953 43992 45402 45766 45864 47376 48568 50232 50436 51324 51888 52304 52969 54096 54639 55272 56212 56511 58374 58604 58842 59878 60536 60858 62181 64446 64584 65847 65988 67248 68103 68432 68649 68796 69552 71064 72852 75187 75348 76986 77832 78456 81144 82908 84318 84994 85928 87796 87906 87984 88263 89817 90804 91532 91728 96669 97136 98371 100464 100872 102648 105938 109278 110544 112424 113022 115479 116748 117208 117684 119756 121072 121716 124362 126477 127491 128892 129168 131694 131859 131976 136206 137298 137592 139633 142128 145704 150374 150696 153643 153972 155664 156912 158907 162288 163917 165816 168636 169988 171856 175592 175812 176526 179634 181608 183064 193338 196742 197541 201744 204309 205296 205947 211876 218556 224848 225561 226044 230958 233496 234416 235368 239512 243432 248724 252954 254982 257784 263388 263718 263952 269451 272412 274596 275184 279266 285337 290007 291408 295113 297479 300748 301392 307286 307944 317814 327834 331632 337272 339976 351184 351624 353052 359268 363216 366128 379431 382473 386676 393484 395082 395577 408618 411894 418899 423752 437112 451122 452088 460929 461916 466992 470736 476721 479024 486864 497448 504827 505908 509964 515568 526309 526776 527436 538902 544824 549192 558532 570674 580014 590226 592623 594958 601496 614572 615888 617841 635628 655668 674544 676683 679952 688597 703248 706104 718536 758862 764946 773352 786968 790164 791154 808353 817236 823788 837798 847504 856011 874224 885339 892437 902244 904176 921858 923832 953442 977431 994896 1009654 1011816 1019928 1052618 1053552 1054872 1075501 1077804 1089648 1098384 1117064 1141348 1147419 1160028 1180452 1185246 1189916 1202992 1229144 1235682 1256697 1271256 1311336 1353366 1377194 1382787 1412208 1430163 1437072 1514481 1517724 1529892 1546704 1573936 1578927 1580328 1582308 1616706 1634472 1647576 1675596 1712022 1770678 1784874 1804488 1843716 1847664 1906884 1954862 1997359 2019308 2023632 2030049 2039856 2065791 2105236 2109744 2151002 2155608 2234128 2282696 2294838 2320056 2360904 2370492 2379832 2458288 2471364 2513394 2542512 2568033 2622672 2656017 2677311 2706732 2754388 2765574 2860326 2932293 3028962 3035448 3059784 3157854 3160656 3164616 3226503 3233412 3268944 3295152 3351192 3424044 3533789 3541356 3569748 3608976 3687432 3770091 3813768 3909724 3994718 4038616 4060098 4131582 4148361 4210472 4302004 4311216 4543443 4565392 4589676 4640112 4721808 4736781 4740984 4759664 4942728 5026788 5136066 5312034 5354622 5413464 5508776 5531148 5720652 5864586 5992077 6057924 6070896 6119568 6197373 6315708 6329232 6453006 6466824 6562751 6702384 6842017 6848088 7067578 7082712 7139496 7374864 7540182 7627536 7704099 7819448 7989436 8031933 8077232 8120196 8263164 8296722 8420944 8604008 8796879 9086886 9179352 9473562 9481968 9679509 9885456 10053576 10272132 10601367 10624068 10709244 10826928 11017552 11062296 11441304 11729172 11984154 12115848 12394746 12631416 12906012 12933648 13125502 13630329 13684034 13696176 13981513 14135156 14165424 14210343 14278992 15080364 15408198 15638896 15978872 16063866 16240392 16526328 16593444 17208016 17593758 17976231 18173772 18358704 18592119 18947124 19359018 19688253 20107152 20526051 20544264 21202734 21248136 21418488 22124592 22882608 23458344 23968308 24231696 24736523 24789492 25262832 25812024 26251004 26390637 27260658 27368068 27963026 28270312 28420686 29038527 30160728 30816396 31804101 31957744 32127732 32480784 33052656 33186888 35187516 35952462 36347544 37184238 37894248 38718036 39376506 41052102 41088528 41944539 42405468 42496272 42836976 45939257 46916688 47936616 49473046 49578984 51624048 52502008 52781274 53928693 54521316 54736136 55926052 56540624 56841372 58077054 59064759 60321456 61578153 61632792 63608202 64255464 66373776 70375032 71904924 72695088 74209569 74368476 75788496 77436072 78753012 82104204 83889078 84810936 91878514 95412303 95873232 98946092 99157968 105004016 105562548 107857386 109042632 109472272 111852104 113682744 116154108 118129518 123156306 123265584 125833617 127216404 128510928 137817771 140750064 143809848 148419138 148736952 154872144 157506024 164208408 167778156 169621872 177194277 183757028 184734459 190824606 197892184 211125096 215714772 218085264 222628707 223704208 227365488 232308216 236259036 246312612 251667234 254432808 275635542 287619696 296838276 297473904 315012048 321574799 328416816 335556312 354388554 367514056 369468918 377500851 381649212 395784368 413453313 422250192 431429544 445257414 464616432 472518072 492625224 503334468 508865616 551271084 593676552 643149598 667886121 671112624 708777108 735028112 738937836 755001702 763298424 826906626 862859088 890514828 945036144 964724397 985250448 1006668936 1102542168 1187353104 1240359939 1286299196 1335772242 1417554216 1477875672 1510003404 1526596848 1653813252 1781029656 1929448794 2013337872 2205084336 2480719878 2572598392 2671544484 2835108432 2894173191 2955751344 3020006808 3307626504 3562059312 3858897588 4961439756 5145196784 5343088968 5788346382 6040013616 6615253008 7717795176 8682519573 9922879512 10686177936 11576692764 15435590352 17365039146 19845759024 23153385528 34730078292 46306771056 69460156584 138920313168
• Sum of all divisors σ(n): 533485854720
• Sum of proper divisors (its aliquot sum) s(n): 394565541552
• 138920313168 is an abundant number, because the sum of its proper divisors (394565541552) is greater than itself. Its abundance is 255645228384

Bases of 138920313168

• Binary: 10000001011000010010111100000101010000₂
• Hexadecimal: 0x20584BC150
• Base-36: 1RTHKFO0

Squares and roots of 138920313168

• 138920313168 squared (138920313168²) is 19298853410695194196224
• 138920313168 cubed (138920313168³) is 2681002759597101298332014123077632
• The square root of 138920313168 is 372720.1539600455
• The cube root of 138920313168 is 5179.1113839701

Scales and comparisons

• 138,920,313,168 seconds is equal to 4,417 years, 12 weeks, 1 day, 23 hours, 52 minutes, 48 seconds.
• To count from 1 to 138,920,313,168 would take you about eight thousand, eight hundred thirty-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 138920313168 cubic inches would be around 431.6 feet tall.

Recreational maths with 138920313168

• 138920313168 backwards is 861313029831
• The number of decimal digits it has is: 12
• The sum of 138920313168's digits is 45
• More coming soon!