135337876128

Names of 135337876128

• Cardinal: 135337876128 can be written as One hundred thirty-five billion, three hundred thirty-seven million, eight hundred seventy-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.35337876128 × 10¹¹

Factors of 135337876128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1032

Divisors of 135337876128

• Number of divisors d(n): 864
• 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 41 42 48 49 52 56 57 63 72 76 78 82 84 91 96 98 104 112 114 117 123 126 133 144 147 152 156 164 168 171 182 196 208 224 228 234 246 247 252 266 273 287 288 294 304 312 328 336 342 364 369 392 399 416 441 456 468 492 494 504 532 533 546 574 588 608 624 637 656 672 684 728 738 741 779 784 798 819 861 882 912 931 936 947 984 988 1008 1064 1066 1092 1148 1176 1197 1248 1274 1312 1368 1456 1476 1482 1558 1568 1596 1599 1638 1722 1729 1764 1824 1862 1872 1894 1911 1968 1976 2009 2016 2128 2132 2184 2223 2296 2337 2352 2394 2548 2583 2736 2793 2841 2912 2952 2964 3116 3192 3198 3276 3444 3458 3528 3724 3731 3744 3788 3822 3936 3952 4018 4256 4264 4368 4446 4592 4674 4704 4788 4797 5096 5166 5187 5453 5472 5586 5682 5733 5904 5928 6027 6232 6384 6396 6552 6629 6888 6916 7011 7056 7448 7462 7576 7644 7904 8036 8379 8523 8528 8736 8892 9184 9348 9576 9594 10127 10192 10332 10374 10906 11172 11193 11364 11466 11808 11856 12054 12103 12311 12464 12768 12792 13104 13258 13776 13832 14022 14112 14896 14924 15152 15288 15561 16072 16359 16758 17046 17056 17784 17993 18081 18696 19152 19188 19887 20254 20384 20664 20748 21812 22344 22386 22728 22932 23712 24108 24206 24622 24928 25584 26117 26208 26516 27552 27664 28044 29792 29848 30304 30381 30576 31122 32144 32718 33516 33579 34092 35568 35986 36162 36309 36933 37392 38171 38304 38376 38827 39774 40508 41328 41496 43624 44688 44772 45456 45864 46403 48216 48412 49077 49244 51168 52234 53032 53979 55328 56088 59661 59696 60762 61152 62244 64288 65436 67032 67158 68184 70889 71136 71972 72324 72618 73866 74784 76342 76752 77654 78351 79548 81016 82656 82992 86177 87248 89376 89544 90912 91143 91728 92806 96432 96824 98154 98488 104468 106064 107958 108927 110799 112176 114513 116481 119322 119392 121524 124488 125951 130872 134064 134316 136368 139209 141778 143944 144648 145236 147732 152684 153504 155308 156702 159096 161937 162032 165984 172354 174496 179088 182286 183456 185612 192864 193648 196308 196976 208936 212128 212667 215916 217854 221598 224352 229026 232962 233909 235053 238644 243048 248976 251902 258531 261744 268128 268632 271789 272736 278418 283556 287888 289296 290472 295464 305368 310616 313404 318192 323874 324064 343539 344708 349443 358176 364572 371224 377853 387296 392616 393952 417627 417872 425334 431832 435708 443196 458052 465924 467818 470106 477288 486096 496223 497952 503804 504751 517062 523488 537264 543578 556836 567112 575776 578592 580944 590928 603239 610736 621232 626808 636384 638001 647748 687078 689416 698886 701727 729144 737713 742448 755706 775593 785232 815367 835254 835744 850668 863664 871416 881657 886392 916104 931848 935636 940212 954576 972192 992446 1007608 1009502 1034124 1074528 1087156 1113672 1133559 1134224 1161888 1181856 1206478 1221472 1242464 1253616 1276002 1295496 1374156 1378832 1397772 1403454 1458288 1475426 1484896 1488669 1511412 1514253 1551186 1570464 1630734 1637363 1670508 1701336 1727328 1742832 1763314 1772784 1809717 1832208 1863696 1871272 1880424 1902523 1909152 1984892 2015216 2019004 2068248 2105181 2174312 2213139 2227344 2267118 2268448 2412956 2446101 2507232 2552004 2590992 2644971 2748312 2757664 2795544 2806908 2916576 2950852 2977338 3022824 3028506 3102372 3261468 3274726 3341016 3402672 3485664 3526628 3533257 3545568 3619434 3664416 3727392 3742544 3760848 3805046 3969784 4030432 4038008 4136496 4210362 4348624 4426278 4454688 4466007 4534236 4542759 4825912 4892202 4912089 5104008 5163991 5181984 5289942 5429151 5496624 5591088 5613816 5707569 5901704 5954676 6045648 6057012 6204744 6522936 6549452 6639417 6682032 6805344 7053256 7066514 7238868 7485088 7521696 7610092 7934913 7939568 8076016 8272992 8420724 8697248 8852556 8932014 9068472 9085518 9590269 9651824 9784404 9824178 10208016 10327982 10579884 10599771 10858302 10993248 11182176 11227632 11415138 11461541 11803408 11909352 12091296 12114024 12409488 13045872 13098904 13278834 13364064 14106512 14133028 14477736 14736267 15220184 15491973 15869826 15879136 16152032 16841448 17122707 17705112 17864028 18136944 18171036 19180538 19303648 19568808 19648356 20416032 20655964 21159768 21199542 21716604 22455264 22830276 22923082 23606816 23818704 24228048 24732799 24818976 26091744 26197808 26557668 28213024 28266056 28770807 28955472 29472534 30440368 30983946 31739652 31799313 33682896 34245414 34384623 35410224 35728056 36147937 36273888 36342072 38361076 39137616 39296712 41311928 42319536 42399084 43433208 45660552 45846164 46475919 47637408 48456096 49465598 52395616 53115336 56532112 57541614 57910944 58945068 60880736 61967892 63479304 63598626 67131883 67365792 68490828 68769246 70820448 71456112 72295874 72684144 74198397 76722152 78275232 78593424 82623856 84639072 84798168 86312421 86866416 91321104 91692328 92951838 98931196 103153869 106230672 108443811 113064224 115083228 117890136 123935784 126958608 127197252 134263766 136981656 137538492 142912224 144591748 145368288 148396794 153444304 157186848 165247712 169596336 172624842 173732832 182642208 183384656 185903676 197862392 201395649 206307738 212461344 216887622 222595191 230166456 235780272 247871568 253917216 254394504 268527532 273963312 275076984 289183496 296793588 306888608 325331433 339192672 345249684 366769312 371807352 395724784 402791298 412615476 433775244 445190382 460332912 469923181 471560544 495743136 508789008 537055064 547926624 550153968 578366992 593587176 604186947 650662866 690499368 743614704 791449568 805582596 825230952 867550488 890380764 920665824 939846362 1017578016 1074110128 1100307936 1156733984 1187174352 1208373894 1301325732 1380998736 1409769543 1487229408 1611165192 1650461904 1735100976 1780761528 1879692724 2148220256 2374348704 2416747788 2602651464 2761997472 2819539086 3222330384 3300923808 3470201952 3561523056 3759385448 4229308629 4833495576 5205302928 5639078172 6444660768 7123046112 7518770896 8458617258 9666991152 10410605856 11278156344 15037541792 16917234516 19333982304 22556312688 33834469032 45112625376 67668938064 135337876128
• Sum of all divisors σ(n): 520444491840
• Sum of proper divisors (its aliquot sum) s(n): 385106615712
• 135337876128 is an abundant number, because the sum of its proper divisors (385106615712) is greater than itself. Its abundance is 249768739584

Bases of 135337876128

• Binary: 1111110000010110001000001101010100000₂
• Hexadecimal: 0x1F82C41AA0
• Base-36: 1Q68ODK0

Squares and roots of 135337876128

• 135337876128 squared (135337876128²) is 18316340714837872272384
• 135337876128 cubed (135337876128³) is 2478894650782970929202991667249152
• The square root of 135337876128 is 367882.9652593335
• The cube root of 135337876128 is 5134.2039786793

Scales and comparisons

• 135,337,876,128 seconds is equal to 4,303 years, 16 weeks, 6 days, 14 hours, 28 minutes, 48 seconds.
• To count from 1 to 135,337,876,128 would take you about eight thousand, six hundred six 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 135337876128 cubic inches would be around 427.9 feet tall.

Recreational maths with 135337876128

• 135337876128 backwards is 821678733531
• The number of decimal digits it has is: 12
• The sum of 135337876128's digits is 54
• More coming soon!