137995717259151504

Names of 137995717259151504

• Cardinal: 137995717259151504 can be written as One hundred thirty-seven quadrillion, nine hundred ninety-five trillion, seven hundred seventeen billion, two hundred fifty-nine million, one hundred fifty-one thousand, five hundred four.

Scientific notation

• Scientific notation: 1.37995717259151504 × 10¹⁷

Factors of 137995717259151504

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3730

Divisors of 137995717259151504

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 131 134 144 201 262 268 393 402 524 536 603 786 804 1048 1072 1179 1206 1572 1608 2096 2358 2412 3144 3216 3527 4489 4716 4824 6288 7054 8777 8978 9432 9648 10581 13467 14108 17161 17554 17956 18864 21162 26331 26934 28216 31743 34322 35108 35912 40401 42324 51483 52662 53868 56432 63486 68644 70216 71824 78993 80802 84648 102966 105324 107736 126972 137288 140432 154449 157986 161604 169296 205932 210648 215472 236309 253944 274576 308898 315972 323208 411864 421296 462037 472618 507888 588059 617796 631944 646416 708927 823728 924074 945236 1149787 1176118 1235592 1263888 1386111 1417854 1764177 1848148 1890472 2126781 2299574 2352236 2471184 2772222 2835708 3449361 3528354 3696296 3780944 4158333 4253562 4599148 4704472 5292531 5544444 5671416 6898722 7056708 7392592 8316666 8507124 9198296 9408944 10348083 10585062 11088888 11342832 12439729 13797444 14113416 15832703 16633332 17014248 18396592 20696166 21170124 22177776 24879458 27594888 28226832 30956479 31665406 33266664 34028496 37319187 41392332 42340248 47498109 49758916 55189776 60526847 61912958 63330812 66533328 74638374 77035729 82784664 84680496 92869437 94996218 99517832 111957561 121053694 123825916 126661624 142494327 149276748 154071458 165569328 181580541 185738874 189992436 199035664 223915122 231107187 242107388 247651832 253323248 278608311 284988654 298553496 308142916 363161082 371477748 379984872 447830244 462214374 484214776 495303664 544741623 557216622 569977308 597106992 616285832 693321561 726322164 742955496 759969744 833461843 895660488 924428748 968429552 1089483246 1114433244 1139954616 1232571664 1386643122 1452644328 1485910992 1629604499 1666923686 1791320976 1848857496 2074084093 2178966492 2228866488 2279909232 2500385529 2773286244 2905288656 3259208998 3333847372 3697714992 4055298749 4148168186 4357932984 4457732976 4888813497 5000771058 5546572488 6222252279 6518417996 6667694744 7501156587 8110597498 8296336372 8715865968 9777626994 10001542116 11093144976 12165896247 12444504558 13036835992 13335389488 14666440491 15002313174 16221194996 16592672744 18666756837 19555253988 20003084232 24331792494 24889009116 26073671984 29332880982 30004626348 32442389992 33185345488 36497688741 37333513674 39110507976 40006168464 48663584988 49778018232 55841943481 58665761964 60009252696 64884779984 72995377482 74667027348 78221015952 97327169976 99556036464 109183501433 111683886962 117331523928 120018505392 145990754964 149334054696 167525830443 194654339952 213478189369 218367002866 223367773924 234663047856 271705016183 291981509928 298668109392 327550504299 335051660886 426956378738 436734005732 446735547848 502577491329 543410032366 583963019856 640434568107 655101008598 670103321772 815115048549 853912757476 873468011464 893471095696 982651512897 1005154982658 1086820064732 1280869136214 1310202017196 1340206643544 1630230097098 1707825514952 1746936022928 1921303704321 1965303025794 2010309965316 2173640129464 2445345145647 2561738272428 2620404034392 2680413287088 3260460194196 3415651029904 3842607408642 3930606051588 4020619930632 4347280258928 4890690291294 5123476544856 5240808068784 6520920388392 7315294596011 7685214817284 7861212103176 8041239861264 9781380582588 10246953089712 13041840776784 14303038687723 14630589192022 15370429634568 15722424206352 19562761165176 21945883788033 28606077375446 29261178384044 30740859269136 39125522330352 42909116063169 43891767576066 57212154750892 58522356768088 65837651364099 85818232126338 87783535152132 114424309501784 117044713536176 128727348189507 131675302728198 171636464252676 175567070304264 228848619003568 257454696379014 263350605456396 343272928505352 351134140608528 514909392758028 526701210912792 686545857010704 958303592077441 1029818785516056 1053402421825584 1916607184154882 2059637571032112 2874910776232323 3833214368309764 5749821552464646 7666428736619528 8624732328696969 11499643104929292 15332857473239056 17249464657393938 22999286209858584 34498929314787876 45998572419717168 68997858629575752 137995717259151504
• Sum of all divisors σ(n): 395174113066230771
• Sum of proper divisors (its aliquot sum) s(n): 257178395807079267
• 137995717259151504 is an abundant number, because the sum of its proper divisors (257178395807079267) is greater than itself. Its abundance is 119182678547927763

Bases of 137995717259151504

• Binary: 111101010010000100101111110101011110000011100100010010000₂
• Hexadecimal: 0x1EA425FABC1C890
• Base-36: 11QREDC89HG0

Squares and roots of 137995717259151504

• 137995717259151504 squared (137995717259151504²) is 19042817981867684279376238025462016
• 137995717259151504 cubed (137995717259151504³) is 2627827326043299011661407389083803420345943741272064
• 137995717259151504 is a perfect square number. Its square root is 371477748
• The cube root of 137995717259151504 is 516759.5793591895

Scales and comparisons

• 137,995,717,259,151,504 seconds is equal to 4,387,836,960 years, 3 weeks, 1 day, 9 hours, 38 minutes, 24 seconds.
• To count from 1 to 137,995,717,259,151,504 would take you about thirteen billion, one hundred sixty-three million, five hundred ten thousand, eight hundred eighty 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 137995717259151504 cubic inches would be around 43063.3 feet tall.

Recreational maths with 137995717259151504

• 137995717259151504 backwards is 405151952717599731
• The number of decimal digits it has is: 18
• The sum of 137995717259151504's digits is 81
• More coming soon!