137953105678336

Names of 137953105678336

• Cardinal: 137953105678336 can be written as One hundred thirty-seven trillion, nine hundred fifty-three billion, one hundred five million, six hundred seventy-eight thousand, three hundred thirty-six.

Scientific notation

• Scientific notation: 1.37953105678336 × 10¹⁴

Factors of 137953105678336

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 777

Divisors of 137953105678336

• Number of divisors d(n): 351
• Complete list of divisors:
  1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 169 208 247 256 304 338 361 416 494 512 608 676 722 743 832 988 1024 1216 1352 1444 1486 1664 1976 2048 2432 2704 2888 2972 3211 3328 3952 4096 4693 4864 5408 5776 5944 6422 6656 7904 9386 9659 9728 10816 11552 11888 12844 13312 14117 15808 18772 19318 19456 21632 23104 23776 25688 26624 28234 31616 37544 38636 38912 43264 46208 47552 51376 53248 56468 61009 63232 75088 77272 77824 86528 92416 95104 102752 112936 122018 125567 126464 150176 154544 173056 183521 184832 190208 205504 225872 244036 251134 252928 268223 300352 309088 346112 367042 369664 380416 411008 451744 488072 502268 505856 536446 552049 600704 618176 692224 734084 739328 760832 822016 903488 976144 1004536 1011712 1072892 1104098 1201408 1236352 1468168 1478656 1521664 1644032 1806976 1952288 2009072 2145784 2208196 2385773 2402816 2472704 2936336 3043328 3288064 3486899 3613952 3904576 4018144 4291568 4416392 4771546 4805632 4945408 5872672 6576128 6973798 7176637 7227904 7809152 8036288 8583136 8832784 9543092 9611264 9890816 10488931 11745344 13152256 13947596 14353274 14455808 15618304 16072576 17166272 17665568 19086184 19222528 19781632 20977862 23490688 27895192 28706548 28911616 31236608 32145152 34332544 35331136 38172368 39563264 41955724 45329687 46981376 55790384 57413096 57823232 62473216 64290304 68665088 70662272 76344736 83911448 90659374 93296281 93962752 111580768 114826192 124946432 128580608 136356103 137330176 141324544 152689472 167822896 181318748 186592562 187925504 199289689 223161536 229652384 249892864 257161216 272712206 274660352 282649088 305378944 335645792 362637496 373185124 375851008 398579378 446323072 459304768 514322432 545424412 549320704 565298176 610757888 671291584 725274992 746370248 751702016 797158756 892646144 918609536 1090848824 1098641408 1130596352 1221515776 1342583168 1450549984 1492740496 1594317512 1772629339 1785292288 1837219072 2181697648 2261192704 2443031552 2590765957 2685166336 2901099968 2985480992 3188635024 3545258678 3570584576 3674438144 4363395296 4886063104 5181531914 5370332672 5802199936 5970961984 6377270048 7090517356 7141169152 7348876288 8726790592 9772126208 10363063828 10740665344 11604399872 11941923968 12754540096 14181034712 14282338304 14697752576 17453581184 20726127656 21481330688 23208799744 23883847936 25509080192 28362069424 29395505152 33679957441 34907162368 41452255312 42962661376 46417599488 47767695872 51018160384 56724138848 67359914882 69814324736 82904510624 92835198976 95535391744 102036320768 113448277696 134719829764 139628649472 165809021248 185670397952 191070783488 204072641536 226896555392 269439659528 279257298944 331618042496 382141566976 408145283072 453793110784 538879319056 558514597888 663236084992 816290566144 907586221568 1077758638112 1326472169984 1815172443136 2155517276224 2652944339968 3630344886272 4311034552448 5305888679936 7260689772544 8622069104896 10611777359872 17244138209792 34488276419584 68976552839168 137953105678336
• Sum of all divisors σ(n): 315700686502749
• Sum of proper divisors (its aliquot sum) s(n): 177747580824413
• 137953105678336 is an abundant number, because the sum of its proper divisors (177747580824413) is greater than itself. Its abundance is 39794475146077

Bases of 137953105678336

• Binary: 11111010111011110110101110111000001000000000000₂
• Hexadecimal: 0x7D77B5DC1000
• Base-36: 1CWES59ZB4

Squares and roots of 137953105678336

• 137953105678336 squared (137953105678336²) is 19031059366298140326699728896
• 137953105678336 cubed (137953105678336³) is 2625393743929613500091157320513609380397056
• 137953105678336 is a perfect square number. Its square root is 11745344
• The cube root of 137953105678336 is 51670.6383965615

Scales and comparisons

• 137,953,105,678,336 seconds is equal to 4,386,482 years, 2 weeks, 1 day, 20 hours, 52 minutes, 16 seconds.
• To count from 1 to 137,953,105,678,336 would take you about ten million, nine hundred sixty-six thousand, two hundred five 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 137953105678336 cubic inches would be around 4305.9 feet tall.

Recreational maths with 137953105678336

• 137953105678336 backwards is 633876501359731
• The number of decimal digits it has is: 15
• The sum of 137953105678336's digits is 67
• More coming soon!