137045106688

Names of 137045106688

• Cardinal: 137045106688 can be written as One hundred thirty-seven billion, forty-five million, one hundred six thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.37045106688 × 10¹¹

Factors of 137045106688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 196

Divisors of 137045106688

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 7 8 14 16 17 19 28 32 34 38 49 56 64 68 76 98 112 119 128 133 136 151 152 196 224 238 256 266 272 302 304 323 343 392 448 476 512 532 544 604 608 646 686 784 833 896 931 952 1024 1057 1064 1088 1208 1216 1292 1372 1568 1666 1792 1862 1904 2048 2114 2128 2176 2261 2416 2432 2567 2584 2744 2869 3136 3332 3584 3724 3808 4096 4228 4256 4352 4522 4832 4864 5134 5168 5488 5738 5831 6272 6517 6664 7168 7399 7448 7616 8192 8456 8512 8704 9044 9664 9728 10268 10336 10976 11476 11662 12544 13034 13328 14336 14798 14896 15232 15827 16912 17024 17408 17969 18088 19328 19456 20083 20536 20672 21952 22952 23324 25088 26068 26656 28672 29596 29792 30464 31654 33824 34048 34816 35938 36176 38656 38912 40166 41072 41344 43904 45904 46648 48773 50176 51793 52136 53312 57344 59192 59584 60928 63308 67648 68096 69632 71876 72352 77312 77824 80332 82144 82688 87808 91808 93296 97546 100352 103586 104272 106624 110789 118384 119168 121856 125783 126616 135296 136192 139264 140581 143752 144704 154624 155648 160664 164288 165376 175616 183616 186592 195092 200704 207172 208544 213248 221578 236768 238336 243712 251566 253232 270592 272384 281162 287504 289408 309248 321328 328576 330752 341411 351232 367232 373184 390184 401408 414344 417088 426496 443156 473536 476672 487424 503132 506464 541184 544768 562324 575008 578816 618496 642656 657152 661504 682822 702464 734464 746368 780368 828688 834176 852992 880481 886312 947072 953344 974848 984067 1006264 1012928 1082368 1089536 1124648 1150016 1157632 1236992 1285312 1314304 1323008 1365644 1404928 1468928 1492736 1560736 1657376 1668352 1705984 1760962 1772624 1894144 1906688 1968134 2012528 2025856 2164736 2249296 2300032 2315264 2389877 2570624 2628608 2646016 2731288 2809856 2937856 2985472 3121472 3314752 3336704 3411968 3521924 3545248 3788288 3813376 3936268 4025056 4051712 4329472 4498592 4600064 4630528 4779754 5141248 5257216 5462576 5875712 5970944 6242944 6629504 6673408 6823936 7043848 7090496 7576576 7626752 7872536 8050112 8103424 8658944 8997184 9200128 9261056 9559508 10282496 10514432 10925152 11751424 11941888 12485888 13259008 13346816 14087696 14180992 15153152 15745072 16100224 16206848 16729139 17994368 18400256 18522112 19119016 20564992 21028864 21850304 23502848 23883776 24971776 26518016 26693632 28175392 28361984 30306304 31490144 32200448 32413696 33458278 35988736 36800512 38238032 41129984 43700608 47767552 49943552 53036032 53387264 56350784 56723968 60612608 62980288 64400896 64827392 66916556 71977472 73601024 76476064 82259968 87401216 99887104 106072064 112701568 113447936 125960576 128801792 129654784 133833112 143954944 147202048 152952128 164519936 174802432 199774208 212144128 225403136 226895872 251921152 257603584 267666224 287909888 305904256 349604864 399548416 424288256 450806272 453791744 503842304 515207168 535332448 575819776 611808512 699209728 901612544 907583488 1007684608 1030414336 1070664896 1151639552 1223617024 1398419456 1803225088 2015369216 2141329792 2447234048 2796838912 3606450176 4030738432 4282659584 4894468096 7212900352 8061476864 8565319168 9788936192 17130638336 19577872384 34261276672 68522553344 137045106688
• Sum of all divisors σ(n): 358591104000
• Sum of proper divisors (its aliquot sum) s(n): 221545997312
• 137045106688 is an abundant number, because the sum of its proper divisors (221545997312) is greater than itself. Its abundance is 84500890624

Bases of 137045106688

• Binary: 1111111101000100001100110000000000000₂
• Hexadecimal: 0x1FE8866000
• Base-36: 1QYH4934

Squares and roots of 137045106688

• 137045106688 squared (137045106688²) is 18781361267125302329344
• 137045106688 cubed (137045106688³) is 2573893658599057924789203393052672
• The square root of 137045106688 is 370196.0381851757
• The cube root of 137045106688 is 5155.7024426023

Scales and comparisons

• 137,045,106,688 seconds is equal to 4,357 years, 31 weeks, 5 days, 5 hours, 11 minutes, 28 seconds.
• To count from 1 to 137,045,106,688 would take you about eight thousand, seven hundred fifteen 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 137045106688 cubic inches would be around 429.6 feet tall.

Recreational maths with 137045106688

• 137045106688 backwards is 886601540731
• 137045106688 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137045106688's digits is 49
• More coming soon!