135172113440

Names of 135172113440

• Cardinal: 135172113440 can be written as One hundred thirty-five billion, one hundred seventy-two million, one hundred thirteen thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3517211344 × 10¹¹

Factors of 135172113440

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 158

Divisors of 135172113440

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 19 20 26 28 29 32 35 38 40 49 52 56 58 65 70 76 80 83 91 95 98 104 112 116 130 133 140 145 152 160 166 182 190 196 203 208 224 232 245 247 260 266 280 290 304 332 364 377 380 392 406 415 416 455 464 490 494 520 532 551 560 580 581 608 637 664 665 728 754 760 784 812 830 841 910 928 931 980 988 1015 1040 1064 1079 1102 1120 1160 1162 1235 1274 1328 1330 1421 1456 1508 1520 1568 1577 1624 1660 1682 1729 1820 1862 1885 1960 1976 2030 2080 2128 2158 2204 2320 2324 2407 2470 2548 2639 2656 2660 2755 2842 2905 2912 3016 3040 3154 3185 3248 3320 3364 3458 3640 3724 3770 3857 3920 3952 4060 4067 4205 4256 4316 4408 4640 4648 4655 4814 4940 5096 5278 5320 5395 5510 5684 5810 5887 6032 6308 6370 6496 6640 6728 6916 7105 7163 7280 7448 7540 7553 7714 7840 7885 7904 8120 8134 8410 8632 8645 8816 9296 9310 9628 9880 10192 10556 10640 10790 10933 11020 11039 11368 11620 11774 12035 12064 12103 12616 12740 13195 13280 13456 13832 14210 14326 14560 14896 15080 15106 15428 15770 15979 16240 16268 16820 16849 17264 17290 17632 18473 18592 18620 19256 19285 19760 20335 20384 20501 21112 21280 21580 21866 22040 22078 22736 23240 23548 24070 24206 25232 25480 26390 26912 26999 27664 28420 28652 29435 29792 30160 30212 30856 31291 31540 31958 32480 32536 33640 33698 34528 34580 35815 36946 37240 37765 38512 38570 39520 40670 41002 41209 42224 43160 43732 44080 44156 45472 45733 46480 47096 48140 48412 50141 50464 50960 52780 52871 53998 54665 55195 55328 56840 57304 58870 60320 60424 60515 61712 62582 63080 63916 65072 67280 67396 69160 69803 71630 73892 74480 75530 76531 77024 77140 77273 79895 81340 82004 82418 84245 84448 86320 87464 88160 88312 91466 92365 92960 94192 96280 96824 100282 101920 102505 105560 105742 107996 109330 110390 111853 113680 114608 117740 117943 120848 121030 123424 125164 126160 127832 130144 134560 134792 134995 138320 139606 143260 143507 147784 148960 151060 153062 154280 154546 156455 159790 162680 164008 164836 168490 172640 174928 176624 182932 184730 188384 192560 193648 200564 205010 206045 207727 211120 211484 215992 218660 219037 220780 223706 227360 228665 229216 235480 235886 241696 242060 250328 250705 252320 255664 264355 269584 269990 276640 279212 286520 287014 295568 302120 306124 308560 309092 312910 319580 320131 325360 328016 329672 336980 349015 349856 350987 353248 365864 369460 382655 385120 386365 387296 401128 410020 412090 415454 422240 422968 431984 437320 438074 441560 447412 457330 470960 471772 484120 488621 500656 501410 511328 528710 535717 539168 539980 558424 559265 573040 574028 589715 591136 594529 604240 612248 617120 618184 625820 639160 640262 650720 656032 659344 673960 698030 701974 717535 731728 738920 765310 772730 782971 802256 820040 824180 830908 845936 863968 874640 876148 883120 894824 907439 914660 941920 943544 968240 977242 1001312 1002820 1004549 1038635 1057420 1071434 1079960 1095185 1116848 1118530 1146080 1148056 1179430 1189058 1208480 1224496 1236368 1251640 1278320 1280524 1318688 1326257 1347920 1396060 1403948 1435070 1454089 1463456 1477840 1530620 1533259 1545460 1565942 1600655 1604512 1640080 1648360 1661816 1691872 1749280 1752296 1754935 1766240 1789648 1814878 1829320 1887088 1936480 1954484 2005640 2009098 2077270 2114840 2142868 2159920 2190370 2233696 2237060 2240917 2296112 2358860 2378116 2443105 2448992 2472736 2503280 2556640 2561048 2652514 2678585 2695840 2792120 2807896 2870140 2908178 2955680 2972645 3061240 3066518 3090920 3131884 3201310 3280160 3296720 3323632 3420347 3504592 3509870 3579296 3629756 3658640 3774176 3908968 3914855 4011280 4018196 4154540 4161703 4229680 4285736 4319840 4380740 4474120 4481834 4537195 4592224 4717720 4756232 4886210 5006560 5022745 5122096 5305028 5357170 5584240 5615792 5740280 5816356 5945290 6122480 6133036 6181840 6263768 6352073 6402620 6593440 6631285 6647264 6840694 7009184 7019740 7259512 7270445 7317280 7666295 7817936 7829710 8022560 8036392 8309080 8323406 8459360 8571472 8761480 8948240 8963668 9074390 9283799 9435440 9512464 9772420 10045490 10178623 10244192 10610056 10714340 11168480 11204585 11231584 11480560 11632712 11890580 12244960 12266072 12363680 12527536 12704146 12805240 13262570 13681388 14039480 14519024 14540890 15332590 15635872 15659420 16072784 16618160 16646812 17101735 17142944 17241341 17522960 17896480 17927336 18148780 18567598 18870880 19024928 19544840 20090980 20357246 20808515 21220112 21428680 22409170 22961120 23265424 23781160 24532144 25055072 25408292 25610480 26525140 27362776 28078960 29038048 29081780 29131921 30665180 31318840 31760365 32145568 33236320 33293624 34203470 34482682 35045920 35854672 36297560 37135196 39089680 40181960 40714492 41617030 42440224 42857360 44464511 44818340 46418995 46530848 47562320 49064288 50816584 50893115 51220960 53050280 54725552 56157920 58163560 58263842 61330360 62637680 63520730 64986593 66587248 68406940 68965364 71709344 72595120 74270392 78179360 80363920 81428984 83234060 85714720 86206705 88929022 89636680 92837990 95124640 101633168 101786230 106100560 109451104 116327120 116527684 120689387 122660720 125275360 127041460 129973186 133174496 136813880 137930728 145190240 145659605 148540784 160727840 162857968 166468120 172413410 177858044 179273360 185675980 203266336 203572460 212201120 222322555 232654240 233055368 241378774 245321440 254082920 259946372 273627760 275861456 291319210 297081568 324932965 325715936 332936240 344826820 355716088 358546720 371351960 407144920 444645110 466110736 482757548 508165840 519892744 547255520 551722912 582638420 603446935 649865930 665872480 689653640 711432176 742703920 814289840 844825709 889290220 932221472 965515096 1016331680 1039785488 1165276840 1206893870 1299731860 1379307280 1422864352 1485407840 1628579680 1689651418 1778580440 1931030192 2079570976 2330553680 2413787740 2599463720 2758614560 3379302836 3557160880 3862060384 4224128545 4661107360 4827575480 5198927440 6758605672 7114321760 8448257090 9655150960 10397854880 13517211344 16896514180 19310301920 27034422688 33793028360 67586056720 135172113440
• Sum of all divisors σ(n): 441389632320
• Sum of proper divisors (its aliquot sum) s(n): 306217518880
• 135172113440 is an abundant number, because the sum of its proper divisors (306217518880) is greater than itself. Its abundance is 171045405440

Bases of 135172113440

• Binary: 1111101111000111000101100010000100000₂
• Hexadecimal: 0x1F78E2C420
• Base-36: 1Q3HZI8W

Squares and roots of 135172113440

• 135172113440 squared (135172113440²) is 18271500251836228633600
• 135172113440 cubed (135172113440³) is 2469797304760195265162755395584000
• The square root of 135172113440 is 367657.6035389449
• The cube root of 135172113440 is 5132.1069871245

Scales and comparisons

• 135,172,113,440 seconds is equal to 4,298 years, 2 weeks, 6 days, 1 hour, 17 minutes, 20 seconds.
• To count from 1 to 135,172,113,440 would take you about eight thousand, five hundred ninety-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 135172113440 cubic inches would be around 427.7 feet tall.

Recreational maths with 135172113440

• 135172113440 backwards is 044311271531
• 135172113440 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135172113440's digits is 32
• More coming soon!