137294853848140032

Names of 137294853848140032

• Cardinal: 137294853848140032 can be written as One hundred thirty-seven quadrillion, two hundred ninety-four trillion, eight hundred fifty-three billion, eight hundred forty-eight million, one hundred forty thousand and thirty-two.

Scientific notation

• Scientific notation: 1.37294853848140032 × 10¹⁷

Factors of 137294853848140032

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 218

Divisors of 137294853848140032

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 64 66 72 88 96 99 106 121 128 132 144 149 159 176 192 198 212 242 256 264 288 298 318 352 363 384 396 424 447 477 484 528 576 583 596 636 704 726 768 792 848 894 954 968 1056 1089 1152 1166 1192 1272 1341 1408 1452 1584 1639 1696 1749 1788 1908 1936 2112 2178 2304 2332 2384 2544 2682 2809 2816 2904 3168 3278 3392 3498 3576 3816 3872 4224 4356 4664 4768 4917 5088 5247 5364 5618 5808 6336 6413 6556 6784 6996 7152 7632 7744 7897 8427 8448 8712 9328 9536 9834 10176 10494 10728 11236 11616 12672 12826 13112 13568 13992 14304 14751 15264 15488 15794 16854 17424 18029 18656 19072 19239 19668 20352 20988 21456 22201 22472 23232 23691 25281 25344 25652 26224 27984 28608 29502 30528 30899 30976 31588 33708 34848 36058 37312 38144 38478 39336 40704 41976 42912 44402 44944 46464 47382 50562 51304 52448 54087 55968 57216 57717 59004 61056 61798 63176 66603 67416 69696 71073 72116 74624 76956 78672 83952 85824 86867 88804 89888 92697 92928 94764 101124 102608 104896 108174 111936 114432 115434 118008 122112 123596 126352 133206 134832 139392 142146 144232 148877 149248 153912 157344 162261 167904 171648 173734 177608 179776 185394 189528 199809 202248 205216 209792 216348 223872 230868 236016 244211 247192 252704 260601 266412 269664 278091 278784 284292 288464 297754 307824 314688 324522 335808 339889 343296 347468 355216 359552 370788 379056 399618 404496 410432 418541 419584 432696 446631 447744 461736 472032 488422 494384 505408 521202 532824 539328 556182 568584 576928 595508 615648 629376 649044 671616 679778 694936 710432 719104 732633 741576 758112 781803 799236 808992 820864 837082 865392 893262 923472 944064 955537 976844 988768 1010816 1019667 1042404 1065648 1078656 1112364 1137168 1153856 1176653 1191016 1231296 1255623 1258752 1298088 1339893 1343232 1359556 1389872 1420864 1465266 1483152 1516224 1563606 1598472 1617984 1637647 1641728 1674164 1730784 1786524 1846944 1888128 1911074 1953688 1977536 2021632 2039334 2084808 2131296 2157312 2197899 2224728 2274336 2307712 2353306 2382032 2462592 2511246 2596176 2679786 2686321 2719112 2779744 2841728 2866611 2930532 2966304 3032448 3059001 3127212 3196944 3235968 3275294 3307949 3348328 3461568 3529959 3573048 3693888 3766869 3776256 3822148 3907376 3955072 4078668 4169616 4262592 4395798 4449456 4548672 4603951 4615424 4706612 4764064 4912941 4925184 5022492 5192352 5359572 5372642 5438224 5559488 5683456 5733222 5861064 5932608 6064896 6118002 6254424 6393888 6471936 6550588 6615898 6696656 6923136 7059918 7146096 7387776 7533738 7644296 7814752 7910144 8058963 8157336 8339232 8525184 8599833 8791596 8898912 9097344 9207902 9413224 9528128 9825882 9923847 10044984 10384704 10589877 10719144 10745284 10876448 11118976 11466444 11722128 11865216 12236004 12508848 12787776 12943183 13101176 13231796 13393312 13811853 13846272 14119836 14292192 14738823 14775552 15067476 15288592 15629504 16117926 16314672 16678464 17050368 17199666 17583192 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9598353876408 9812382350496 10119019298949 10470931501536 10704417109632 10834505512006 11819460558552 12219193115712 12797805168544 13083176467328 13492025731932 13961242002048 14397530814612 14718573525744 15759280744736 16251758268009 16292257487616 17385697587456 17729190837828 17989367642576 19196707752816 19624764700992 20238038597898 20941863003072 21408834219264 21669011024012 23638921117104 24438386231424 25595610337088 26166352934656 26984051463864 27922484004096 28795061629224 29437147051488 31518561489472 32503516536018 35458381675656 35978735285152 38393415505632 39249529401984 40476077195796 41883726006144 43338022048024 47277842234208 48755274804027 48876772462848 51191220674176 53968102927728 57590123258448 58874294102976 59589780316033 63037122978944 65007033072036 70916763351312 71957470570304 76786831011264 78499058803968 80952154391592 83767452012288 86676044096048 94555684468416 97510549608054 102382441348352 107936205855456 115180246516896 117748588205952 119179560632066 126074245957888 130014066144072 141833526702624 143914941140608 153573662022528 161904308783184 173352088192096 178769340948099 189111368936832 195021099216108 215872411710912 230360493033792 235497176411904 238359121264132 260028132288144 283667053405248 287829882281216 307147324045056 323808617566368 346704176384192 357538681896198 378222737873664 390042198432216 431744823421824 460720986067584 476718242528264 520056264576288 536308022844297 567334106810496 647617235132736 693408352768384 715077363792396 780084396864432 863489646843648 921441972135168 953436485056528 1040112529152576 1072616045688594 1134668213620992 1295234470265472 1386816705536768 1430154727584792 1560168793728864 1906872970113056 2080225058305152 2145232091377188 2590468940530944 2860309455169584 3120337587457728 3813745940226112 4160450116610304 4290464182754376 5720618910339168 6240675174915456 7627491880452224 8580928365508752 11441237820678336 12481350349830912 15254983760904448 17161856731017504 22882475641356672 34323713462035008 45764951282713344 68647426924070016 137294853848140032
• Sum of all divisors σ(n): 446477245841718000
• Sum of proper divisors (its aliquot sum) s(n): 309182391993577968
• 137294853848140032 is an abundant number, because the sum of its proper divisors (309182391993577968) is greater than itself. Its abundance is 171887538145437936

Bases of 137294853848140032

• Binary: 111100111110001001111000100110001000110111000100100000000₂
• Hexadecimal: 0x1E7C4F1311B8900
• Base-36: 11JUYP4T3R40

Squares and roots of 137294853848140032

• 137294853848140032 squared (137294853848140032²) is 18849876893182131753052105880961024
• 137294853848140032 cubed (137294853848140032³) is 2587991093104872672641474985128808468355143086112768
• The square root of 137294853848140032 is 370533202.0860479273
• The cube root of 137294853848140032 is 515883.2411243473

Scales and comparisons

• 137,294,853,848,140,032 seconds is equal to 4,365,551,671 years, 26 weeks, 1 day, 13 hours, 7 minutes, 12 seconds.
• To count from 1 to 137,294,853,848,140,032 would take you about thirteen billion, ninety-six million, six hundred fifty-five thousand and fourteen 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 137294853848140032 cubic inches would be around 42990.3 feet tall.

Recreational maths with 137294853848140032

• 137294853848140032 backwards is 230041848358492731
• 137294853848140032 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137294853848140032's digits is 72
• More coming soon!