137326849632

Names of 137326849632

• Cardinal: 137326849632 can be written as One hundred thirty-seven billion, three hundred twenty-six million, eight hundred forty-nine thousand, six hundred thirty-two.

Scientific notation

• Scientific notation: 1.37326849632 × 10¹¹

Factors of 137326849632

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 60

Divisors of 137326849632

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 29 32 36 38 42 48 49 54 56 57 58 63 72 76 84 87 96 98 108 112 114 116 126 133 144 147 152 168 171 174 189 196 203 216 224 228 232 252 261 266 288 294 304 336 342 343 348 378 392 399 406 432 441 456 464 504 513 522 532 551 588 608 609 672 684 686 696 756 783 784 798 812 841 864 882 912 928 931 1008 1026 1029 1044 1064 1102 1176 1197 1218 1323 1368 1372 1392 1421 1512 1566 1568 1596 1624 1653 1682 1764 1824 1827 1862 2016 2052 2058 2088 2128 2204 2352 2394 2436 2523 2646 2736 2744 2784 2793 2842 3024 3087 3132 3192 3248 3306 3364 3528 3591 3654 3724 3857 4104 4116 4176 4256 4263 4408 4704 4788 4872 4959 5046 5292 5472 5481 5488 5586 5684 5887 6048 6174 6264 6384 6496 6517 6612 6728 7056 7182 7308 7448 7569 7714 8208 8232 8352 8379 8526 8816 9261 9576 9744 9918 9947 10092 10584 10962 10976 11172 11368 11571 11774 12348 12528 12768 12789 13034 13224 13456 14112 14364 14616 14877 14896 15138 15428 15979 16416 16464 16758 17052 17632 17661 18522 19152 19488 19551 19836 19894 20184 21168 21924 22344 22707 22736 23142 23548 24389 24696 25056 25137 25578 26068 26448 26912 26999 28728 29232 29754 29792 29841 30276 30856 31958 32928 33516 34104 34713 35322 37044 38304 38367 39102 39672 39788 40368 41209 42336 43848 44688 45414 45472 46284 47096 47937 48778 49392 50274 51156 52136 52896 52983 53998 57456 58464 58653 59508 59682 60552 61712 63916 67032 68208 69426 70644 73167 74088 76734 78204 79344 79576 80736 80997 82418 87696 89376 89523 90828 92568 94192 95874 97556 98784 100548 102312 104139 104272 105966 107996 111853 114912 117306 119016 119364 121104 123424 123627 127832 134064 136416 138852 141288 143811 146334 148176 153468 156408 158688 158949 159152 161994 164836 170723 175392 175959 179046 181656 185136 188384 188993 191748 195112 201096 204624 208278 208544 211932 215992 219501 223706 234612 238032 238728 242208 242991 247254 255664 268128 268569 277704 282576 287622 288463 292668 296352 306936 312816 317898 318304 323988 329672 335559 341446 351918 358092 363312 370272 370881 377986 383496 390224 402192 409248 416556 423864 431433 431984 439002 447412 463391 469224 476064 477456 485982 494508 511328 512169 537138 555408 565152 566979 575244 576926 585336 613872 625632 635796 647976 658503 659344 671118 682892 703836 716184 726624 728973 741762 755972 766992 780448 782971 804384 833112 847728 862866 863968 865389 878004 894824 926782 938448 954912 971964 989016 1006677 1024338 1074276 1110816 1112643 1133958 1150488 1153852 1170672 1195061 1227744 1271592 1295952 1317006 1318688 1342236 1365784 1390173 1407672 1432368 1457946 1483524 1511944 1533984 1536507 1565942 1666224 1695456 1700937 1725732 1730778 1756008 1789648 1853564 1876896 1943928 1978032 2013354 2048676 2148552 2225286 2267916 2300976 2307704 2341344 2348913 2390122 2543184 2591904 2596167 2634012 2684472 2731568 2780346 2815344 2864736 2915892 2967048 3020031 3023888 3073014 3131884 3243737 3332448 3401874 3451464 3461556 3512016 3579296 3585183 3707128 3887856 3956064 4026708 4097352 4170519 4297104 4450572 4535832 4601952 4609521 4615408 4697826 4780244 5086368 5102811 5192334 5268024 5368944 5463136 5480797 5560692 5630688 5831784 5934096 6040062 6047776 6146028 6263768 6487474 6803748 6902928 6923112 7024032 7046739 7170366 7414256 7775712 7788501 8053416 8194704 8341038 8365427 8594208 8901144 9071664 9219042 9230816 9395652 9560488 9731211 10205622 10384668 10536048 10737888 10755549 10961594 11121384 11663568 11868192 12080124 12292056 12511557 12527536 12974948 13607496 13805856 13846224 14093478 14340732 14828512 15577002 16106832 16389408 16442391 16682076 16730854 17802288 18143328 18438084 18791304 19120976 19462422 20411244 20769336 21072096 21140217 21511098 21923188 22242768 22706159 23327136 24160248 24584112 25023114 25055072 25096281 25949896 27214992 27692448 28186956 28681464 29193633 31154004 32213664 32266647 32884782 33364152 33461708 35604576 36876168 37582608 38241952 38924844 40822488 41538672 42280434 43022196 43846376 44485536 45412318 48320496 49168224 49327173 50046228 50192562 51899792 54429984 56373912 57362928 58387266 62308008 64533294 65769564 66728304 66923416 68118477 73752336 75165216 75288843 77849688 81644976 83077344 84560868 86044392 87580899 87692752 90824636 96640992 98654346 100092456 100385124 103799584 112747824 114725856 116774532 124616016 129066588 131539128 133456608 133846832 136236954 147504672 147981519 150577686 155699376 158943113 163289952 169121736 172088784 175161798 175385504 181649272 197308692 200184912 200770248 204355431 225495648 225866529 233549064 249232032 258133176 263078256 267693664 272473908 295963038 301155372 311398752 317886226 338243472 344177568 350323596 363298544 394617384 400369824 401540496 408710862 451733058 467098128 476829339 516266352 526156512 544947816 591926076 602310744 613066293 635772452 676486944 700647192 726597088 789234768 803080992 817421724 903466116 934196256 953658678 1032532704 1089895632 1183852152 1204621488 1226132586 1271544904 1401294384 1430488017 1578469536 1634843448 1806932232 1907317356 2179791264 2367704304 2409242976 2452265172 2543089808 2802588768 2860976034 3269686896 3613864464 3814634712 4291464051 4735408608 4904530344 5086179616 5721952068 6539373792 7227728928 7629269424 8582928102 9809060688 11443904136 15258538848 17165856204 19618121376 22887808272 34331712408 45775616544 68663424816 137326849632
• Sum of all divisors σ(n): 509241600000
• Sum of proper divisors (its aliquot sum) s(n): 371914750368
• 137326849632 is an abundant number, because the sum of its proper divisors (371914750368) is greater than itself. Its abundance is 234587900736

Bases of 137326849632

• Binary: 1111111111001010100010110111001100000₂
• Hexadecimal: 0x1FF9516E60
• Base-36: 1R34UZC0

Squares and roots of 137326849632

• 137326849632 squared (137326849632²) is 18858663629849938535424
• 137326849632 cubed (137326849632³) is 2589800864556869815978613953363968
• The square root of 137326849632 is 370576.3748972673
• The cube root of 137326849632 is 5159.2331256225

Scales and comparisons

• 137,326,849,632 seconds is equal to 4,366 years, 29 weeks, 4 days, 3 hours, 7 minutes, 12 seconds.
• To count from 1 to 137,326,849,632 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 137326849632 cubic inches would be around 429.9 feet tall.

Recreational maths with 137326849632

• 137326849632 backwards is 236948623731
• 137326849632 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137326849632's digits is 54
• More coming soon!