137335839408768

Names of 137335839408768

• Cardinal: 137335839408768 can be written as One hundred thirty-seven trillion, three hundred thirty-five billion, eight hundred thirty-nine million, four hundred eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37335839408768 × 10¹⁴

Factors of 137335839408768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 53786

Divisors of 137335839408768

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 49 52 56 64 66 77 78 84 88 91 96 98 104 112 128 132 143 147 154 156 168 176 182 192 196 208 224 231 264 273 286 294 308 312 336 352 364 384 392 416 429 448 462 528 539 546 572 588 616 624 637 672 704 728 784 832 858 896 924 967 1001 1056 1078 1092 1144 1176 1232 1248 1274 1344 1408 1456 1568 1617 1664 1716 1848 1911 1934 2002 2112 2156 2184 2288 2352 2464 2496 2548 2688 2901 2912 3003 3136 3234 3432 3696 3822 3868 4004 4224 4312 4368 4576 4704 4928 4992 5096 5802 5824 6006 6272 6468 6769 6864 7007 7392 7644 7736 8008 8624 8736 9152 9408 9856 10192 10637 11604 11648 12012 12571 12936 13538 13728 14014 14784 15288 15472 16016 17248 17472 18304 18816 20307 20384 21021 21274 23208 24024 25142 25872 27076 27456 28028 29568 30576 30944 31911 32032 34496 34944 37713 40614 40768 42042 42548 46416 47383 48048 50284 51744 52783 54152 54912 56056 61152 61888 63822 64064 68992 74459 75426 81228 81536 84084 85096 87997 92832 94766 96096 100568 103488 105566 108304 112112 122304 123776 127644 128128 138281 142149 148918 150852 158349 162456 168168 170192 175994 185664 189532 192192 201136 206976 211132 216608 223377 224224 244608 255288 263991 276562 284298 297836 301704 316698 324912 336336 340384 351988 369481 371328 379064 384384 402272 414843 422264 433216 446754 448448 510576 521213 527982 553124 568596 580613 595672 603408 615979 633396 649824 672672 680768 686179 703976 738962 758128 804544 829686 844528 866432 893508 896896 967967 1021152 1042426 1055964 1106248 1108443 1137192 1161226 1191344 1206816 1231958 1266792 1299648 1345344 1361536 1372358 1407952 1477924 1516256 1563639 1609088 1659372 1689056 1741839 1787016 1847937 1935934 2042304 2058537 2084852 2111928 2212496 2216886 2274384 2322452 2382688 2413632 2463916 2533584 2586367 2599296 2690688 2744716 2815904 2903901 2955848 3032512 3127278 3318744 3378112 3483678 3574032 3695874 3871868 4064291 4084608 4117074 4169704 4223856 4424992 4433772 4548768 4644904 4765376 4803253 4827264 4927832 5067168 5172734 5489432 5631808 5807802 5911696 6065024 6254556 6637488 6756224 6775769 6967356 7148064 7391748 7547969 7743736 7759101 8128582 8234148 8339408 8447712 8849984 8867544 9097536 9289808 9530752 9606506 9855664 10134336 10345468 10978864 11263616 11615604 11823392 12192873 12509112 13274976 13551538 13934712 14296128 14409759 14783496 15095938 15487472 15518202 16257164 16468296 16678816 16895424 17699968 17735088 18195072 18579616 19213012 19711328 20268672 20327307 20690936 21957728 22643907 23231208 23646784 24385746 25018224 26549952 27103076 27869424 28450037 28592256 28819518 29566992 30191876 30974944 31036404 32514328 32936592 33357632 33622771 33790848 35470176 37159232 38426024 39422656 40654614 41381872 43915456 45287814 46462416 47293568 48771492 50036448 51041161 52835783 53099904 54206152 55738848 56900074 57639036 59133984 60383752 61949888 62072808 65028656 65873184 66715264 67245542 70940352 74318464 76852048 78845312 81309228 82763744 85350111 87830912 90575628 92924832 97542984 100072896 100868313 102082322 105671566 108412304 111477696 113800148 115278072 118267968 120767504 123899776 124145616 130057312 131746368 134491084 141880704 153123483 153704096 158507349 162618456 165527488 170700222 181151256 185849664 195085968 200145792 201736626 204164644 211343132 216824608 222955392 227600296 230556144 236535936 241535008 248291232 260114624 263492736 268982168 306246966 307408192 317014698 325236912 331054976 341400444 357288127 362302512 369850481 371699328 390171936 403473252 408329288 422686264 433649216 455200592 461112288 483070016 496582464 520229248 537964336 561452771 612493932 614816384 634029396 650473824 663535093 682800888 714576254 724605024 739700962 780343872 806946504 816658576 845372528 867298432 910401184 922224576 966140032 993164928 1071864381 1075928672 1109551443 1122905542 1224987864 1268058792 1300947648 1327070186 1365601776 1429152508 1449210048 1479401924 1560687744 1613893008 1633317152 1684358313 1690745056 1820802368 1844449152 1990605279 2143728762 2151857344 2219102886 2245811084 2449975728 2501016889 2536117584 2601895296 2654140372 2731203552 2858305016 2898420096 2958803848 3227786016 3266634304 3368716626 3381490112 3641604736 3930169397 3981210558 4287457524 4303714688 4438205772 4491622168 4644745651 4899951456 5002033778 5072235168 5308280744 5462407104 5716610032 5917607696 6455572032 6533268608 6737433252 6762980224 7298886023 7503050667 7860338794 7962421116 8574915048 8876411544 8983244336 9289491302 9799902912 10004067556 10144470336 10616561488 10924814208 11433220064 11790508191 11835215392 12911144064 13474866504 13934236953 14597772046 15006101334 15720677588 15924842232 17149830096 17752823088 17966488672 18578982604 19599805824 20008135112 20288940672 21233122976 21896658069 22866440128 23581016382 23670430784 26949733008 27511185779 27868473906 29195544092 30012202668 31441355176 31849684464 32513219557 34299660192 35505646176 35932977344 37157965208 40016270224 42466245952 43793316138 45732880256 47162032764 47340861568 51092202161 53899466016 55022371558 55736947812 58391088184 60024405336 62882710352 63699368928 65026439114 68599320384 71011292352 71865954688 74315930416 80032540448 82533557337 84932491904 87586632276 94324065528 97539658671 102184404322 107798932032 110044743116 111473895624 116782176368 120048810672 125765420704 127398737856 130052878228 137198640768 142022584704 148631860832 153276606483 160065080896 165067114674 175173264552 188648131056 195079317342 204368808644 215597864064 220089486232 222947791248 233564352736 240097621344 251530841408 254797475712 260105756456 297263721664 306553212966 320130161792 330134229348 350346529104 357645415127 377296262112 390158634684 408737617288 440178972464 445895582496 467128705472 480195242688 503061682816 520211512912 594527443328 613106425932 660268458696 700693058208 715290830254 754592524224 780317269368 817475234576 880357944928 891791164992 934257410944 960390485376 1040423025824 1072936245381 1226212851864 1320536917392 1401386116416 1430581660508 1509185048448 1560634538736 1634950469152 1760715889856 1783582329984 2080846051648 2145872490762 2452425703728 2641073834784 2802772232832 2861163321016 3121269077472 3269900938304 3521431779712 4161692103296 4291744981524 4904851407456 5282147669568 5722326642032 6242538154944 6539801876608 8583489963048 9809702814912 10564295339136 11444653284064 12485076309888 17166979926096 19619405629824 22889306568128 34333959852192 45778613136256 68667919704384 137335839408768
• Sum of all divisors σ(n): 499070574858240
• Sum of proper divisors (its aliquot sum) s(n): 361734735449472
• 137335839408768 is an abundant number, because the sum of its proper divisors (361734735449472) is greater than itself. Its abundance is 224398896040704

Bases of 137335839408768

• Binary: 11111001110011111111101111011000100001010000000₂
• Hexadecimal: 0x7CE7FDEC4280
• Base-36: 1COJ7OVLHC

Squares and roots of 137335839408768

• 137335839408768 squared (137335839408768²) is 18861132786110913639795277824
• 137335839408768 cubed (137335839408768³) is 2590309503380777398490814214908970461560832
• The square root of 137335839408768 is 11719037.4779146431
• The cube root of 137335839408768 is 51593.4570215597

Scales and comparisons

• 137,335,839,408,768 seconds is equal to 4,366,854 years, 46 weeks, 8 hours, 12 minutes, 48 seconds.
• To count from 1 to 137,335,839,408,768 would take you about ten million, nine hundred seventeen thousand, one hundred thirty-seven 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 137335839408768 cubic inches would be around 4299.5 feet tall.

Recreational maths with 137335839408768

• 137335839408768 backwards is 867804938533731
• The number of decimal digits it has is: 15
• The sum of 137335839408768's digits is 75
• More coming soon!