138446336947117248

Names of 138446336947117248

• Cardinal: 138446336947117248 can be written as One hundred thirty-eight quadrillion, four hundred forty-six trillion, three hundred thirty-six billion, nine hundred forty-seven million, one hundred seventeen thousand, two hundred forty-eight.

Scientific notation

• Scientific notation: 1.38446336947117248 × 10¹⁷

Factors of 138446336947117248

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 982

Divisors of 138446336947117248

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 49 56 58 63 64 72 84 87 96 98 112 116 126 144 147 168 174 192 196 203 224 232 252 261 288 294 336 343 348 392 406 441 448 464 504 522 576 588 609 672 686 696 784 812 841 882 928 941 1008 1029 1044 1176 1218 1344 1372 1392 1421 1568 1624 1682 1764 1827 1856 1882 2016 2058 2088 2352 2436 2523 2744 2784 2823 2842 3087 3136 3248 3364 3528 3654 3764 4032 4116 4176 4263 4704 4872 5046 5488 5568 5646 5684 5887 6174 6496 6587 6728 7056 7308 7528 7569 8232 8352 8469 8526 9408 9744 9947 10092 10976 11292 11368 11774 12348 12789 12992 13174 13456 14112 14616 15056 15138 16464 16704 16938 17052 17661 19488 19761 19894 20184 21952 22584 22736 23548 24696 25578 26348 26912 27289 28224 29232 29841 30112 30276 32928 33876 34104 35322 38976 39522 39788 40368 41209 45168 45472 46109 47096 49392 51156 52696 52983 53824 54578 58464 59283 59682 60224 60552 65856 67752 68208 70644 79044 79576 80736 81867 82418 89523 90336 90944 92218 94192 98784 102312 105392 105966 109156 116928 118566 119364 121104 123627 135504 136416 138327 141288 158088 159152 161472 163734 164836 179046 180672 184436 188384 191023 197568 204624 210784 211932 218312 237132 238728 242208 245601 247254 271008 272832 276654 282576 288463 316176 318304 322763 327468 329672 358092 368872 370881 376768 382046 409248 414981 421568 423864 436624 474264 477456 484416 491202 494508 542016 553308 565152 573069 576926 632352 636608 645526 654936 659344 716184 737744 741762 764092 791381 818496 829962 847728 865389 873248 885481 948528 954912 968289 982404 989016 1106616 1130304 1146138 1153852 1264704 1291052 1309872 1318688 1337161 1432368 1475488 1483524 1528184 1582762 1659924 1695456 1719207 1730778 1746496 1770962 1897056 1909824 1936578 1964808 1978032 2213232 2292276 2307704 2374143 2582104 2596167 2619744 2637376 2656443 2674322 2864736 2904867 2950976 2967048 3056368 3165524 3319848 3390912 3438414 3461556 3541924 3794112 3873156 3929616 3956064 4011483 4426464 4584552 4615408 4748286 5164208 5192334 5239488 5312886 5348644 5539667 5729472 5809734 5934096 6112736 6198367 6331048 6639696 6876828 6923112 7083848 7122429 7746312 7859232 7912128 7969329 8022966 8852928 9169104 9230816 9360127 9496572 10328416 10384668 10625772 10697288 11079334 11619468 11868192 12034449 12225472 12396734 12662096 13279392 13753656 13846224 14167696 14244858 15492624 15718464 15938658 16045932 16619001 18338208 18461632 18595101 18720254 18993144 20656832 20769336 21251544 21394576 22158668 23238936 23736384 24068898 24793468 25324192 25678949 26558784 27507312 27692448 28080381 28335392 28489716 30985248 31877316 32091864 33238002 36676416 37190202 37440508 37986288 38777669 41538672 42503088 42789152 43388569 44317336 46477872 48137796 49586936 49857003 50648384 51357898 55014624 55384896 55785303 56160762 56670784 56979432 61970496 63754632 64183728 66476004 74380404 74881016 75972576 77036847 77555338 83077344 84241143 85006176 85578304 86777138 88634672 92955744 96275592 99173872 99714006 102715796 110029248 111570606 112321524 113958864 116333007 127509264 128367456 130165707 132952008 148760808 149762032 151945152 154073694 155110676 166154688 168482286 170012352 173554276 177269344 179752643 185911488 192551184 198347744 199428012 205431592 223141212 224643048 227917728 231110541 232666014 255018528 256734912 260331414 265904016 271443683 297521616 299524064 303719983 308147388 310221352 336964572 347108552 348999021 354538688 359505286 385102368 390497121 396695488 398856024 410863184 446282424 449286096 455835456 462221082 465332028 510037056 520662828 531808032 539257929 542887366 595043232 599048128 607439966 616294776 620442704 673929144 694217104 697998042 719010572 744689521 770204736 780994242 797712048 814331049 821726368 833237621 892564848 898572192 911159949 924442164 930664056 1041325656 1063616064 1078515858 1085774732 1190086464 1214879932 1232589552 1240885408 1258268501 1347858288 1388434208 1395996084 1438021144 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10509058520352 10656275934969 10825423172032 11212045428176 11758649307552 12178601068536 12260568273744 12613551106698 13718424192144 13918401221184 14208367913292 14715809624481 16238134758048 16347424364992 16576429232174 16818068142264 18291232256192 18390852410616 18944490551056 19621079499308 20577636288216 21018117040704 21312551869938 22424090856352 23517298615104 24357202137072 24521136547488 24864643848261 25227102213396 27436848384288 28416735826584 29431619248962 32476269516096 33152858464348 33636136284528 34336889123789 36781704821232 37888981102112 39242158998616 41155272576432 42625103739876 44147428873443 44848181712704 48714404274144 49042273094976 49729287696522 50454204426792 54873696768576 56833471653168 58863238497924 66305716928696 67272272569056 68673778247578 73563409642464 74593931544783 75777962204224 78484317997232 82310545152864 85250207479752 88294857746886 97428808548288 99458575393044 100908408853584 103010667371367 113666943306336 117726476995848 132611433857392 134544545138112 137347556495156 147126819284928 149187863089566 156968635994464 164621090305728 170500414959504 176589715493772 198917150786088 201816817707168 206021334742734 227333886612672 235452953991696 240358223866523 265222867714784 274695112990312 298375726179132 309032002114101 313937271988928 341000829919008 353179430987544 397834301572176 403633635414336 412042669485468 470905907983392 480716447733046 530445735429568 549390225980624 596751452358264 618064004228202 682001659838016 706358861975088 721074671599569 795668603144352 824085338970936 941811815966784 961432895466092 1098780451961248 1193502904716528 1236128008456404 1412717723950176 1442149343199138 1591337206288704 1648170677941872 1922865790932184 2163224014798707 2197560903922496 2387005809433056 2472256016912808 2825435447900352 2884298686398276 3296341355883744 3845731581864368 4326448029597414 4774011618866112 4944512033825616 5768597372796552 6592682711767488 7691463163728736 8652896059194828 9889024067651232 11537194745593104 15382926327457472 17305792118389656 19778048135302464 23074389491186208 34611584236779312 46148778982372416 69223168473558624 138446336947117248
• Sum of all divisors σ(n): 479795156750769600
• Sum of proper divisors (its aliquot sum) s(n): 341348819803652352
• 138446336947117248 is an abundant number, because the sum of its proper divisors (341348819803652352) is greater than itself. Its abundance is 202902482856535104

Bases of 138446336947117248

• Binary: 111101011110111000011010110111110001011111101110011000000₂
• Hexadecimal: 0x1EBDC35BE2FDCC0
• Base-36: 11V74P5ZTM80

Squares and roots of 138446336947117248

• 138446336947117248 squared (138446336947117248²) is 19167388214074722393037737459093504
• 138446336947117248 cubed (138446336947117248³) is 2653654687081992922195312600199321772604496083156992
• The square root of 138446336947117248 is 372083776.7857089037
• The cube root of 138446336947117248 is 517321.4543615865

Scales and comparisons

• 138,446,336,947,117,248 seconds is equal to 4,402,165,272 years, 14 weeks, 4 days, 3 hours, 40 minutes, 48 seconds.
• To count from 1 to 138,446,336,947,117,248 would take you about thirteen billion, two hundred six million, four hundred ninety-five thousand, eight hundred sixteen 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 138446336947117248 cubic inches would be around 43110.1 feet tall.

Recreational maths with 138446336947117248

• 138446336947117248 backwards is 842711749633644831
• The number of decimal digits it has is: 18
• The sum of 138446336947117248's digits is 81
• More coming soon!