137369848896

Names of 137369848896

• Cardinal: 137369848896 can be written as One hundred thirty-seven billion, three hundred sixty-nine million, eight hundred forty-eight thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 1.37369848896 × 10¹¹

Factors of 137369848896

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1239

Divisors of 137369848896

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 61 63 64 72 73 84 96 98 112 122 126 144 146 147 168 183 192 196 219 224 244 252 288 292 294 336 366 392 427 438 441 448 488 504 511 549 576 584 588 657 672 732 784 854 876 882 976 1008 1022 1093 1098 1168 1176 1281 1314 1344 1464 1533 1568 1708 1752 1764 1952 2016 2044 2186 2196 2336 2352 2562 2628 2928 2989 3066 3136 3279 3416 3504 3528 3577 3843 3904 4032 4088 4372 4392 4453 4599 4672 4704 5124 5256 5856 5978 6132 6558 6832 7008 7056 7154 7651 7686 8176 8744 8784 8906 8967 9198 9408 9837 10248 10512 10731 11712 11956 12264 13116 13359 13664 14016 14112 14308 15302 15372 16352 17488 17568 17812 17934 18396 19674 20496 21024 21462 22953 23912 24528 26232 26718 26901 27328 28224 28616 30604 30744 31171 32193 32704 34976 35136 35624 35868 36792 39348 40077 40992 42048 42924 45906 47824 49056 52464 53436 53557 53802 57232 61208 61488 62342 64386 66673 68859 69952 71248 71736 73584 78696 79789 80154 81984 85848 91812 93513 95648 98112 104928 106872 107114 107604 114464 122416 122976 124684 128772 133346 137718 142496 143472 147168 157392 159578 160308 160671 171696 183624 187026 191296 200019 209856 213744 214228 215208 218197 228928 239367 244832 245952 249368 257544 266692 275436 280539 284992 286944 294336 314784 319156 320616 321342 343392 367248 374052 400038 427488 428456 430416 436394 466711 478734 482013 489664 498736 515088 533384 550872 558523 561078 573888 600057 629568 638312 641232 642684 654591 686784 718101 734496 748104 800076 854976 856912 860832 872788 933422 957468 964026 997472 1030176 1066768 1101744 1117046 1122156 1200114 1276624 1282464 1285368 1309182 1400133 1436202 1468992 1496208 1600152 1675569 1713824 1721664 1745576 1866844 1914936 1928052 1963773 1994944 2060352 2133536 2203488 2234092 2244312 2400228 2553248 2564928 2570736 2618364 2800266 2872404 2992416 3200304 3266977 3351138 3427648 3491152 3733688 3829872 3856104 3909661 3927546 4200399 4267072 4406976 4468184 4488624 4800456 4867129 5026707 5106496 5141472 5236728 5600532 5744808 5984832 6400608 6533954 6702276 6982304 7467376 7659744 7712208 7819322 7855092 8400798 8936368 8977248 9600912 9734258 9800931 10053414 10282944 10473456 11201064 11489616 11728983 12801216 13067908 13404552 13964608 14601387 14934752 15319488 15424416 15638644 15710184 16801596 17872736 17954496 19201824 19468516 19601862 20106828 20946912 22402128 22979232 23457966 26135816 26809104 29202774 29402793 29869504 30848832 31277288 31420368 33603192 34069903 35186949 35745472 38403648 38937032 39203724 40213656 41893824 43804161 44804256 45958464 46915932 52271632 53618208 58405548 58805586 62554576 62840736 67206384 68139806 70373898 77874064 78407448 80427312 87608322 89608512 93831864 102209709 104543264 107236416 116811096 117611172 125109152 125681472 134412768 136279612 140747796 155748128 156814896 160854624 175216644 187663728 204419418 209086528 233622192 235222344 238489321 250218304 268825536 272559224 281495592 306629127 311496256 313629792 321709248 350433288 375327456 408838836 467244384 470444688 476978642 545118448 562991184 613258254 627259584 700866576 715467963 750654912 817677672 934488768 940889376 953957284 1090236896 1125982368 1226516508 1401733152 1430935926 1635355344 1881778752 1907914568 2146403889 2180473792 2251964736 2453033016 2803466304 2861871852 3270710688 3815829136 4292807778 4906066032 5723743704 6541421376 7631658272 8585615556 9812132064 11447487408 15263316544 17171231112 19624264128 22894974816 34342462224 45789949632 68684924448 137369848896
• Sum of all divisors σ(n): 472348630104
• Sum of proper divisors (its aliquot sum) s(n): 334978781208
• 137369848896 is an abundant number, because the sum of its proper divisors (334978781208) is greater than itself. Its abundance is 197608932312

Bases of 137369848896

• Binary: 1111111111011111000011000110001000000₂
• Hexadecimal: 0x1FFBE18C40
• Base-36: 1R3UGLS0

Squares and roots of 137369848896

• 137369848896 squared (137369848896²) is 18870475385709872418816
• 137369848896 cubed (137369848896³) is 2592234352330652491868191947227136
• The square root of 137369848896 is 370634.3870932647
• The cube root of 137369848896 is 5159.7715492873

Scales and comparisons

• 137,369,848,896 seconds is equal to 4,367 years, 48 weeks, 4 days, 19 hours, 21 minutes, 36 seconds.
• To count from 1 to 137,369,848,896 would take you about eight thousand, seven hundred thirty-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 137369848896 cubic inches would be around 430 feet tall.

Recreational maths with 137369848896

• 137369848896 backwards is 698848963731
• 137369848896 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137369848896's digits is 72
• More coming soon!