137338129152

Names of 137338129152

• Cardinal: 137338129152 can be written as One hundred thirty-seven billion, three hundred thirty-eight million, one hundred twenty-nine thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 1.37338129152 × 10¹¹

Factors of 137338129152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 20868

Divisors of 137338129152

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 137 144 168 189 192 216 224 252 256 274 288 336 378 384 411 432 448 504 548 576 672 756 768 822 864 896 959 1008 1096 1152 1233 1344 1512 1644 1728 1792 1918 2016 2192 2304 2466 2688 2877 3024 3288 3456 3699 3836 4032 4384 4932 5376 5754 6048 6576 6912 7398 7672 8064 8631 8768 9864 11508 12096 13152 14796 15344 16128 17262 17536 19728 20719 23016 24192 25893 26304 29592 30688 34524 35072 39456 41438 46032 48384 51786 52608 59184 61376 62157 69048 78912 82876 92064 103572 105216 118368 122752 124314 138096 145033 157824 165752 184128 186471 207144 236736 245504 248628 276192 290066 315648 331504 368256 372942 414288 435099 473472 497256 552384 559413 580132 663008 736512 745884 828576 870198 946944 994512 1104768 1118826 1160264 1305297 1326016 1491768 1657152 1740396 1989024 2209536 2237652 2320528 2610594 2652032 2838503 2983536 3314304 3480792 3915891 3978048 4475304 4641056 5221188 5304064 5677006 5967072 6628608 6961584 7831782 7956096 8515509 8950608 9282112 10442376 11354012 11934144 13923168 15663564 15912192 17031018 17901216 18564224 19869521 20884752 22708024 23868288 25546527 27846336 31327128 34062036 35802432 37128448 39739042 41769504 45416048 47736576 51093054 55692672 59608563 62654256 68124072 71604864 76639581 79478084 83539008 90832096 102186108 111385344 119217126 125308512 136248144 143209728 153279162 158956168 167078016 178825689 181664192 204372216 238434252 250617024 272496288 306558324 317912336 334156032 357651378 363328384 408744432 476868504 501234048 536477067 544992576 613116648 635824672 715302756 726656768 817488864 953737008 1002468096 1072954134 1089985152 1226233296 1271649344 1430605512 1634977728 1907474016 2145908268 2179970304 2452466592 2543298688 2861211024 3269955456 3814948032 4291816536 4904933184 5086597376 5722422048 6539910912 7629896064 8583633072 9809866368 11444844096 15259792128 17167266144 19619732736 22889688192 34334532288 45779376384 68669064576 137338129152
• Sum of all divisors σ(n): 467562547200
• Sum of proper divisors (its aliquot sum) s(n): 330224418048
• 137338129152 is an abundant number, because the sum of its proper divisors (330224418048) is greater than itself. Its abundance is 192886288896

Bases of 137338129152

• Binary: 1111111111001111111011000101100000000₂
• Hexadecimal: 0x1FF9FD8B00
• Base-36: 1R3BKQO0

Squares and roots of 137338129152

• 137338129152 squared (137338129152²) is 18861761718971432239104
• 137338129152 cubed (137338129152³) is 2590439066994348089452481696759808
• The square root of 137338129152 is 370591.5934718433
• The cube root of 137338129152 is 5159.3743752039

Scales and comparisons

• 137,338,129,152 seconds is equal to 4,366 years, 48 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
• To count from 1 to 137,338,129,152 would take you about eight thousand, seven hundred thirty-three 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 137338129152 cubic inches would be around 429.9 feet tall.

Recreational maths with 137338129152

• 137338129152 backwards is 251921833731
• The number of decimal digits it has is: 12
• The sum of 137338129152's digits is 45
• More coming soon!