137477975328

Names of 137477975328

• Cardinal: 137477975328 can be written as One hundred thirty-seven billion, four hundred seventy-seven million, nine hundred seventy-five thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37477975328 × 10¹¹

Factors of 137477975328

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1475

Divisors of 137477975328

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 73 76 89 96 108 114 144 146 152 171 178 216 219 228 267 288 292 304 342 356 432 438 456 513 534 584 608 657 684 712 801 864 876 912 1026 1068 1168 1289 1314 1368 1387 1424 1602 1691 1752 1824 1971 2052 2136 2336 2403 2578 2628 2736 2774 2848 3204 3382 3504 3867 3942 4104 4161 4272 4806 5073 5156 5256 5472 5548 6408 6497 6764 7008 7734 7884 8208 8322 8544 9612 10146 10312 10512 11096 11601 12483 12816 12994 13528 15219 15468 15768 16416 16644 19224 19491 20292 20624 21024 22192 23202 24491 24966 25632 25988 27056 30438 30936 31536 33288 34803 37449 38448 38982 40584 41248 44384 45657 46404 48982 49932 51976 54112 58473 60876 61872 63072 66576 69606 73473 74898 76896 77964 81168 91314 92808 94097 97964 99864 103952 114721 116946 121752 123443 123744 133152 139212 146946 149796 155928 162336 175419 182628 185616 188194 195928 199728 207904 220419 229442 233892 243504 246886 278424 282291 293892 299592 311856 344163 350838 365256 370329 371232 376388 391856 399456 440838 458884 467784 487008 493772 556848 564582 587784 599184 623712 661257 688326 701676 730512 740658 752776 783712 846873 881676 917768 935568 987544 1032489 1110987 1113696 1129164 1175568 1198368 1322514 1376652 1403352 1461024 1481316 1505552 1693746 1763352 1787843 1835536 1871136 1975088 2064978 2179699 2221974 2258328 2351136 2540619 2645028 2753304 2806704 2962632 3011104 3097467 3332961 3387492 3526704 3575686 3671072 3950176 4129956 4359398 4443948 4516656 5081238 5290056 5363529 5506608 5613408 5925264 6194934 6539097 6665922 6774984 7053408 7151372 8259912 8374633 8718796 8887896 9033312 10162476 10580112 10727058 11013216 11850528 12389868 13078194 13331844 13549968 14302744 16090587 16519824 16749266 17437592 17775792 19617291 20324952 21160224 21454116 24779736 25123899 26156388 26663688 27099936 28605488 32181174 33039648 33498532 34875184 35551584 39234582 40649904 42908232 48271761 49559472 50247798 52312776 53327376 57210976 58851873 64362348 66997064 69750368 75371697 78469164 81299808 85816464 96543522 99118944 100495596 104625552 106654752 117703746 128724696 133994128 150743394 156938328 159118027 171632928 193087044 200991192 209251104 226115091 235407492 257449392 267988256 301486788 313876656 318236054 386174088 401982384 452230182 470814984 477354081 514898784 602973576 627753312 636472108 772348176 803964768 904460364 941629968 954708162 1205947152 1272944216 1432062243 1544696352 1808920728 1883259936 1909416324 2411894304 2545888432 2864124486 3617841456 3818832648 4296186729 5091776864 5728248972 7235682912 7637665296 8592373458 11456497944 15275330592 17184746916 22912995888 34369493832 45825991776 68738987664 137477975328
• Sum of all divisors σ(n): 433006560000
• Sum of proper divisors (its aliquot sum) s(n): 295528584672
• 137477975328 is an abundant number, because the sum of its proper divisors (295528584672) is greater than itself. Its abundance is 158050609344

Bases of 137477975328

• Binary: 10000000000010010100110110110100100000₂
• Hexadecimal: 0x2002536D20
• Base-36: 1R5MU4O0

Squares and roots of 137477975328

• 137477975328 squared (137477975328²) is 18900193700286176707584
• 137477975328 cubed (137477975328³) is 2598360363222364027944681422487552
• The square root of 137477975328 is 370780.2251037669
• The cube root of 137477975328 is 5161.1249791607

Scales and comparisons

• 137,477,975,328 seconds is equal to 4,371 years, 19 weeks, 3 days, 6 hours, 28 minutes, 48 seconds.
• To count from 1 to 137,477,975,328 would take you about eight thousand, seven hundred forty-two 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 137477975328 cubic inches would be around 430.1 feet tall.

Recreational maths with 137477975328

• 137477975328 backwards is 823579774731
• The number of decimal digits it has is: 12
• The sum of 137477975328's digits is 63
• More coming soon!