135738369984

Names of 135738369984

• Cardinal: 135738369984 can be written as One hundred thirty-five billion, seven hundred thirty-eight million, three hundred sixty-nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.35738369984 × 10¹¹

Factors of 135738369984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1421

Divisors of 135738369984

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 83 84 96 98 112 114 133 147 152 166 168 192 196 224 228 249 266 294 304 332 336 343 392 399 448 456 498 532 581 588 608 664 672 686 784 798 912 931 996 1029 1064 1162 1176 1216 1307 1328 1344 1372 1568 1577 1596 1743 1824 1862 1992 2058 2128 2324 2352 2614 2656 2744 2793 3136 3154 3192 3486 3648 3724 3921 3984 4067 4116 4256 4648 4704 4731 5228 5312 5488 5586 6308 6384 6517 6972 7448 7842 7968 8134 8232 8512 9149 9296 9408 9462 10456 10976 11039 11172 12201 12616 12768 13034 13944 14896 15684 15936 16268 16464 18298 18592 18924 19551 20912 21952 22078 22344 24402 24833 25232 25536 26068 27447 27888 28469 29792 31368 32536 32928 33117 36596 37184 37848 39102 41824 44156 44688 48804 49666 50464 52136 54894 55776 56938 59584 62736 64043 65072 65856 66234 73192 74499 75696 77273 78204 83648 85407 88312 89376 97608 99332 100928 104272 108481 109788 111552 113876 125472 128086 130144 132468 146384 148998 151392 154546 156408 170814 173831 176624 178752 192129 195216 198664 208544 216962 219576 227752 231819 250944 256172 260288 264936 292768 297996 302784 309092 312816 325443 341628 347662 353248 384258 390432 397328 417088 433924 439152 448301 455504 463638 512344 521493 529872 540911 585536 595992 618184 625632 650886 683256 695324 706496 759367 768516 780864 794656 867848 878304 896602 911008 927276 1024688 1042986 1059744 1081822 1191984 1216817 1236368 1251264 1301772 1344903 1366512 1390648 1518734 1537032 1589312 1622733 1735696 1756608 1793204 1822016 1854552 2049376 2061139 2085972 2119488 2163644 2278101 2383968 2433634 2472736 2603544 2689806 2733024 2781296 3037468 3074064 3245466 3471392 3586408 3650451 3709104 4098752 4122278 4171944 4327288 4556202 4767936 4867268 4945472 5207088 5315569 5379612 5466048 5562592 6074936 6148128 6183417 6490932 6942784 7172816 7300902 7418208 8244556 8343888 8517719 8654576 9112404 9734536 10414176 10631138 10759224 11125184 12149872 12296256 12366834 12981864 14345632 14427973 14601804 14836416 15946707 16489112 16687776 17035438 17309152 18224808 19469072 20828352 21262276 21518448 24299744 24733668 25553157 25963728 28691264 28855946 29203608 31893414 32978224 33375552 34070876 34618304 36449616 37208983 38938144 42524552 43036896 43283919 48599488 49467336 51106314 51927456 57711892 58407216 63786828 65956448 68141752 72899232 74417966 77876288 85049104 86073792 86567838 98934672 100995811 102212628 103854912 111626949 115423784 116814432 127573656 131912896 136283504 145798464 148835932 170098208 173135676 197869344 201991622 204425256 223253898 230847568 233628864 255147312 272567008 297671864 302987433 340196416 346271352 395738688 403983244 408850512 446507796 461695136 510294624 545134016 595343728 605974866 692542704 706970677 807966488 817701024 893015592 923390272 1020589248 1190687456 1211949732 1385085408 1413941354 1615932976 1635402048 1786031184 2120912031 2381374912 2423899464 2770170816 2827882708 3231865952 3572062368 4241824062 4847798928 5655765416 6463731904 7144124736 8483648124 9695597856 11311530832 16967296248 19391195712 22623061664 33934592496 45246123328 67869184992 135738369984
• Sum of all divisors σ(n): 446519808000
• Sum of proper divisors (its aliquot sum) s(n): 310781438016
• 135738369984 is an abundant number, because the sum of its proper divisors (310781438016) is greater than itself. Its abundance is 175043068032

Bases of 135738369984

• Binary: 1111110011010101000110010011111000000₂
• Hexadecimal: 0x1F9AA327C0
• Base-36: 1QCV4CLC

Squares and roots of 135738369984

• 135738369984 squared (135738369984²) is 18424905085913272160256
• 135738369984 cubed (135738369984³) is 2500966583471779043024915868155904
• The square root of 135738369984 is 368426.8855336157
• The cube root of 135738369984 is 5139.2633955815

Scales and comparisons

• 135,738,369,984 seconds is equal to 4,316 years, 3 weeks, 22 hours, 46 minutes, 24 seconds.
• To count from 1 to 135,738,369,984 would take you about eight thousand, six hundred thirty-two 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 135738369984 cubic inches would be around 428.3 feet tall.

Recreational maths with 135738369984

• 135738369984 backwards is 489963837531
• The number of decimal digits it has is: 12
• The sum of 135738369984's digits is 66
• More coming soon!