137352091968

Names of 137352091968

• Cardinal: 137352091968 can be written as One hundred thirty-seven billion, three hundred fifty-two million, ninety-one thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37352091968 × 10¹¹

Factors of 137352091968

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 147

Divisors of 137352091968

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 38 39 42 48 52 56 57 63 64 72 76 78 84 91 96 103 104 112 114 117 126 133 144 152 156 168 169 171 182 192 206 208 224 228 234 247 252 266 273 288 304 309 312 336 338 342 364 399 412 416 448 456 468 494 504 507 532 546 576 608 618 624 672 676 684 721 728 741 798 819 824 832 912 927 936 988 1008 1014 1064 1092 1183 1197 1216 1236 1248 1339 1344 1352 1368 1442 1456 1482 1521 1596 1638 1648 1729 1824 1854 1872 1957 1976 2016 2028 2128 2163 2184 2223 2366 2394 2472 2496 2678 2704 2736 2884 2912 2964 3042 3192 3211 3276 3296 3458 3549 3648 3708 3744 3914 3952 4017 4032 4056 4256 4326 4368 4446 4732 4788 4944 5187 5356 5408 5472 5768 5824 5871 5928 6084 6384 6422 6489 6552 6592 6916 7098 7416 7488 7828 7904 8034 8112 8512 8652 8736 8892 9373 9464 9576 9633 9888 10374 10609 10647 10712 10816 10944 11536 11742 11856 12051 12168 12768 12844 12978 13104 13699 13832 14196 14832 15561 15656 15808 16068 16224 17304 17407 17472 17613 17784 18746 18928 19152 19266 19776 20748 21218 21294 21424 22477 23072 23484 23712 24102 24336 25441 25536 25688 25956 26208 27398 27664 28119 28392 28899 29664 31122 31312 31827 32136 32448 34608 34814 35226 35568 37492 37856 38304 38532 41097 41496 42436 42588 42848 44954 46144 46968 47424 48204 48672 50882 51376 51912 52221 52416 54796 55328 56238 56784 57798 59328 62244 62624 63654 64272 67431 69216 69628 70452 71136 74263 74984 75712 76323 76608 77064 82194 82992 84357 84872 85176 85696 89908 93936 95481 96408 97344 101764 102752 103824 104442 109592 110656 112476 113568 115596 121849 123291 124488 125248 127308 128544 134862 137917 138432 139256 140904 142272 148526 149968 152646 154128 156663 164388 165984 168714 169744 170352 178087 179816 187872 190962 192816 201571 202293 203528 205504 207648 208884 219184 222789 224952 227136 228969 231192 243698 246582 248976 254616 257088 269724 275834 278512 281808 297052 299936 305292 308256 313326 328776 330733 331968 337428 339488 340704 356174 359632 365547 375744 381924 385632 403142 404586 407056 413751 415296 417768 438368 445578 449904 457938 462384 487396 493164 497952 509232 534261 539448 551668 557024 563616 594104 599872 604713 610584 616512 626652 657552 661466 668367 674856 678976 681408 712348 719264 731094 763848 771264 806284 809172 814112 827502 835536 876736 891156 899808 915876 924768 965419 974792 986328 992199 995904 1018464 1068522 1078896 1096641 1103336 1114048 1127232 1188208 1209426 1221168 1241253 1253304 1315104 1322932 1336734 1349712 1410997 1424696 1438528 1462188 1527696 1602783 1612568 1618344 1628224 1655004 1671072 1782312 1792921 1799616 1814139 1831752 1849536 1930838 1949584 1972656 1984398 2036928 2137044 2157792 2193282 2206672 2315131 2376416 2418852 2442336 2482506 2506608 2620423 2630208 2645864 2673468 2699424 2821994 2849392 2896257 2924376 2976597 3055392 3205566 3225136 3236688 3310008 3342144 3564624 3585842 3628278 3663504 3861676 3899168 3945312 3968796 4232991 4274088 4315584 4386564 4413344 4630262 4752832 4837704 4884672 4965012 5013216 5240846 5291728 5346936 5378763 5398848 5643988 5698784 5792514 5848752 5953194 6110784 6411132 6450272 6473376 6620016 6945393 7129248 7171684 7256556 7327008 7723352 7798336 7861269 7890624 7937592 8465982 8548176 8688771 8773128 8826688 9260524 9675408 9930024 10026432 10481692 10583456 10693872 10757526 11287976 11397568 11585028 11697504 11906388 12550447 12698973 12822264 12900544 12946752 13240032 13890786 14258496 14343368 14513112 14654016 15446704 15722538 15875184 16136289 16931964 17096352 17377542 17546256 18342961 18521048 19350816 19860048 20836179 20963384 21166912 21387744 21515052 22575952 23170056 23395008 23583807 23812776 25100894 25397946 25644528 26480064 27781572 28686736 29026224 30893408 31445076 31750368 32272578 33863928 34065499 34192704 34755084 35092512 36685922 37042096 37651341 38701632 39720096 41672358 41926768 42775488 43030104 45151904 46340112 47167614 47625552 50201788 50795892 51289056 55028883 55563144 57373472 58052448 61786816 62890152 63500736 64545156 67727856 68130998 69510168 70185024 73371844 74084192 75302682 79440192 83344716 83853536 86060208 90303808 92680224 94335228 95251104 100403576 101591784 102196497 102578112 110057766 111126288 112954023 114746944 116104896 125780304 129090312 135455712 136261996 139020336 146743688 148168384 150605364 165086649 166689432 167707072 172120416 185360448 188670456 190502208 200807152 203183568 204392994 220115532 222252576 225908046 238458493 251560608 258180624 270911424 272523992 278040672 293487376 301210728 306589491 330173298 333378864 344240832 377340912 401614304 406367136 408785988 440231064 444505152 451816092 476916986 503121216 516361248 545047984 556081344 586974752 602421456 613178982 660346596 666757728 715375479 754681824 803228608 812734272 817571976 880462128 903632184 953833972 1032722496 1090095968 1173949504 1204842912 1226357964 1320693192 1333515456 1430750958 1509363648 1635143952 1760924256 1807264368 1907667944 2146126437 2180191936 2409685824 2452715928 2641386384 2861501916 3270287904 3521848512 3614528736 3815335888 4292252874 4905431856 5282772768 5723003832 6540575808 7229057472 7630671776 8584505748 9810863712 10565545536 11446007664 15261343552 17169011496 19621727424 22892015328 34338022992 45784030656 68676045984 137352091968
• Sum of all divisors σ(n): 517880132640
• Sum of proper divisors (its aliquot sum) s(n): 380528040672
• 137352091968 is an abundant number, because the sum of its proper divisors (380528040672) is greater than itself. Its abundance is 243175948704

Bases of 137352091968

• Binary: 1111111111010110100101001100101000000₂
• Hexadecimal: 0x1FFAD29940
• Base-36: 1R3JW0G0

Squares and roots of 137352091968

• 137352091968 squared (137352091968²) is 18865597167985930113024
• 137352091968 cubed (137352091968³) is 2591229237248443818214093082591232
• The square root of 137352091968 is 370610.4315423405
• The cube root of 137352091968 is 5159.5492160735

Scales and comparisons

• 137,352,091,968 seconds is equal to 4,367 years, 19 weeks, 2 days, 6 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,352,091,968 would take you about eight thousand, seven hundred thirty-four 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 137352091968 cubic inches would be around 430 feet tall.

Recreational maths with 137352091968

• 137352091968 backwards is 869190253731
• The number of decimal digits it has is: 12
• The sum of 137352091968's digits is 54
• More coming soon!