137233672253568

Names of 137233672253568

• Cardinal: 137233672253568 can be written as One hundred thirty-seven trillion, two hundred thirty-three billion, six hundred seventy-two million, two hundred fifty-three thousand, five hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37233672253568 × 10¹⁴

Factors of 137233672253568

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10475

Divisors of 137233672253568

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 121 128 132 144 162 176 192 198 216 242 264 288 297 324 352 363 384 396 432 484 528 576 594 648 704 726 792 864 891 968 1056 1089 1152 1188 1296 1408 1452 1584 1728 1782 1936 2112 2178 2376 2592 2904 3168 3267 3456 3564 3872 4224 4356 4752 5184 5808 6336 6534 7128 7744 8712 9504 9801 10368 10459 11616 12672 13068 14256 15488 17424 19008 19602 20918 23232 26136 28512 31377 34848 38016 39204 41836 46464 52272 57024 62754 69696 78408 83672 94131 104544 114048 115049 125508 139392 156816 167344 188262 209088 230098 251016 282393 313632 334688 345147 376524 418176 460196 502032 564786 627264 669376 690294 753048 847179 920392 1004064 1035441 1129572 1254528 1265539 1338752 1380588 1506096 1694358 1840784 2008128 2070882 2259144 2531078 2761176 3012192 3106323 3388716 3681568 3796617 4016256 4141764 4518288 5062156 5522352 6024384 6212646 6777432 7363136 7593234 8283528 9036576 9318969 10124312 11044704 11389851 12048768 12425292 13554864 14726272 15186468 16567056 18073152 18637938 20248624 22089408 22779702 24850584 27109728 30372936 33134112 34169553 36146304 37275876 40497248 44178816 45559404 49701168 54219456 60745872 66268224 68339106 74551752 80994496 91118808 99402336 102508659 108438912 109390681 121491744 132536448 136678212 149103504 161988992 182237616 198804672 205017318 218781362 242983488 273356424 298207008 328172043 364475232 397609344 410034636 437562724 485966976 546712848 596414016 656344086 728950464 820069272 875125448 984516129 1093425696 1192828032 1203297491 1312688172 1457900928 1640138544 1750250896 1969032258 2186851392 2406594982 2625376344 2953548387 3280277088 3500501792 3609892473 3938064516 4373702784 4813189964 5250752688 5907096774 6560554176 7001003584 7219784946 7876129032 8860645161 9626379928 10501505376 10829677419 11814193548 13121108352 13236272401 14002007168 14439569892 15752258064 17721290322 19252759856 21003010752 21659354838 23628387096 26472544802 28879139784 31504516128 32489032257 35442580644 38505519712 39708817203 42006021504 43318709676 47256774192 52945089604 57758279568 63009032256 64978064514 70885161288 77011039424 79417634406 86637419352 94513548384 97467096771 105890179208 115516559136 119126451609 126018064512 129956129028 141770322576 154022078848 158835268812 173274838704 189027096768 194934193542 211780358416 231033118272 238252903218 259912258056 283540645152 317670537624 346549677408 357379354827 378054193536 389868387084 423560716832 462066236544 476505806436 519824516112 567081290304 635341075248 693099354816 714758709654 779736774168 847121433664 953011612872 1039649032224 1072138064481 1134162580608 1270682150496 1386198709632 1429517419308 1559473548336 1694242867328 1906023225744 2079298064448 2144276128962 2541364300992 2859034838616 3118947096672 3812046451488 4158596128896 4288552257924 5082728601984 5718069677232 6237894193344 7624092902976 8577104515848 11436139354464 12475788386688 15248185805952 17154209031696 22872278708928 34308418063392 45744557417856 68616836126784 137233672253568
• Sum of all divisors σ(n): 448951103338815
• Sum of proper divisors (its aliquot sum) s(n): 311717431085247
• 137233672253568 is an abundant number, because the sum of its proper divisors (311717431085247) is greater than itself. Its abundance is 174483758831679

Bases of 137233672253568

• Binary: 11111001101000000110100010010010011000010000000₂
• Hexadecimal: 0x7CD034493080
• Base-36: 1CN8A16W00

Squares and roots of 137233672253568

• 137233672253568 squared (137233672253568²) is 18833080800199719547688730624
• 137233672253568 cubed (137233672253568³) is 2584532838059572479244546102818707374866432
• The square root of 137233672253568 is 11714677.6418972793
• The cube root of 137233672253568 is 51580.6600114375

Scales and comparisons

• 137,233,672,253,568 seconds is equal to 4,363,606 years, 14 weeks, 6 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,233,672,253,568 would take you about ten million, nine hundred nine thousand and 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 137233672253568 cubic inches would be around 4298.4 feet tall.

Recreational maths with 137233672253568

• 137233672253568 backwards is 865352276332731
• The number of decimal digits it has is: 15
• The sum of 137233672253568's digits is 63
• More coming soon!