138152164640

Names of 138152164640

• Cardinal: 138152164640 can be written as One hundred thirty-eight billion, one hundred fifty-two million, one hundred sixty-four thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3815216464 × 10¹¹

Factors of 138152164640

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 305

Divisors of 138152164640

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 19 20 28 31 32 34 35 38 40 56 62 68 70 76 80 85 95 97 112 119 124 127 133 136 140 152 155 160 170 190 194 217 224 238 248 254 266 272 280 304 310 323 340 380 388 434 476 485 496 508 527 532 544 560 589 595 608 620 635 646 665 679 680 760 776 868 889 952 970 992 1016 1054 1064 1085 1120 1178 1190 1240 1270 1292 1330 1358 1360 1520 1552 1615 1649 1736 1778 1843 1904 1940 2032 2108 2128 2159 2170 2261 2356 2380 2413 2480 2540 2584 2635 2660 2716 2720 2945 3007 3040 3104 3230 3298 3395 3472 3556 3686 3689 3808 3880 3937 4064 4123 4216 4256 4318 4340 4445 4522 4712 4760 4826 4960 5080 5168 5270 5320 5432 5890 6014 6460 6596 6790 6944 7112 7372 7378 7760 7874 8245 8246 8432 8636 8680 8890 9044 9215 9424 9520 9652 10013 10160 10336 10540 10640 10795 10864 11305 11543 11780 12028 12065 12319 12901 12920 13192 13580 14224 14744 14756 15035 15113 15520 15748 16490 16492 16864 16891 17272 17360 17780 18088 18430 18445 18848 19040 19304 19685 20026 20320 20615 21049 21080 21280 21590 21728 22610 23086 23560 24056 24130 24638 25802 25840 26384 27160 27559 28448 29488 29512 30070 30226 31331 31496 32980 32984 33782 34544 34720 35560 36176 36860 36890 38608 39370 40052 41021 41230 42098 42160 43180 45220 46172 47120 48112 48260 49276 50065 51119 51604 51680 52768 54320 55118 57133 57715 58976 59024 60140 60452 61595 62662 62992 64505 65960 65968 66929 67564 69088 70091 71120 72352 73720 73780 74803 75565 77216 78740 80104 82042 82460 84196 84320 84455 86233 86360 90440 92344 94240 96224 96520 98552 100130 102238 103208 105245 108640 110236 114266 115430 118048 120280 120904 123190 125324 125984 129010 131920 131936 133858 135128 137795 140182 142240 147440 147560 149606 151130 156655 157480 160208 164084 164920 168392 168910 172466 172720 180880 184688 193040 197104 200260 204476 205105 206416 209423 210490 219317 220472 228532 230860 234061 240560 241808 246380 250648 255595 258020 263840 267716 270256 275590 280364 285665 287147 294880 295120 299212 302260 313310 314960 320416 328168 329840 334645 336784 337820 344932 345440 350455 357833 361760 369376 374015 381889 386080 394208 399931 400520 408952 410210 412832 418846 420980 431165 438634 440944 457064 461720 468122 468503 481120 483616 492760 501296 511190 516040 523621 535432 540512 551180 560728 571330 574294 590240 598424 604520 626620 629920 656336 659680 669290 673568 675640 689864 700910 715666 748030 763778 799862 801040 817904 820420 837692 841960 862330 877268 881888 914128 923440 936244 937006 971261 985520 1002592 1022380 1032080 1047115 1047242 1070864 1096585 1102360 1121456 1142660 1148588 1170305 1196848 1209040 1253240 1271651 1312672 1338580 1351280 1379728 1401820 1431332 1435735 1465961 1496060 1527556 1599724 1602080 1635808 1638427 1640840 1675384 1683920 1724660 1754536 1789165 1828256 1846880 1872488 1874012 1909445 1942522 1971040 1999655 2044760 2064160 2094230 2094484 2141728 2193170 2204720 2242912 2285320 2297176 2340610 2342515 2393696 2418080 2506480 2543302 2618105 2673223 2677160 2702560 2759456 2803640 2862664 2871470 2931922 2992120 3055112 3199448 3276854 3281680 3350768 3367840 3449320 3509072 3578330 3744976 3748024 3818890 3885044 3979037 3999310 4089520 4188460 4188968 4386340 4409440 4570640 4594352 4681220 4685030 4856305 5012960 5086604 5236210 5346446 5354320 5607280 5725328 5742940 5863844 5984240 6110224 6358255 6398896 6492113 6553708 6563360 6701536 6798827 6898640 7018144 7156660 7255891 7329805 7489952 7496048 7637780 7770088 7958074 7998620 8179040 8192135 8376920 8377936 8772680 8901557 9141280 9188704 9362440 9370060 9712610 10173208 10472420 10692892 10708640 11214560 11450656 11485880 11727688 11968480 12220448 12716510 12797792 12984226 13107416 13366115 13597654 13797280 14313320 14511782 14659610 14992096 15275560 15540176 15916148 15997240 16384270 16753840 16755872 17545360 17803114 18724880 18740120 19425220 19895185 20346416 20944840 21385784 22971760 23455376 25433020 25968452 26214832 26732230 27195308 27853259 28626640 29023564 29319220 30551120 31080352 31832296 31994480 32460565 32768540 33507680 33994135 35090720 35606228 36279455 37449760 37480240 38850440 39790370 40692832 41889680 42771568 44507785 45444791 45943520 46910752 50791237 50866040 51936904 52429664 53464460 54390616 55706518 57253280 58047128 58638440 61102240 63664592 63988960 64921130 65537080 67988270 71212456 72558910 74960480 77700880 79580740 83779360 85543136 89015570 90889582 101582474 101732080 103873808 106928920 108781232 111413036 116094256 117276880 123350147 127329184 129842260 131074160 135976540 139266295 142424912 145117820 155401760 159161480 178031140 181779164 203164948 203464160 207747616 213857840 217562464 222826072 227223955 232188512 234553760 246700294 253956185 259684520 262148320 271953080 278532590 284849824 290235640 318322960 356062280 363558328 406329896 427715680 445652144 454447910 493400588 507912370 519369040 543906160 557065180 580471280 616750735 636645920 712124560 727116656 812659792 863451029 891304288 908895820 986801176 1015824740 1038738080 1087812320 1114130360 1160942560 1233501470 1424249120 1454233312 1625319584 1726902058 1817791640 1973602352 2031649480 2228260720 2467002940 3453804116 3635583280 3947204704 4063298960 4317255145 4456521440 4934005880 6907608232 7271166560 8126597920 8634510290 9868011760 13815216464 17269020580 19736023520 27630432928 34538041160 69076082320 138152164640
• Sum of all divisors σ(n): 436988805120
• Sum of proper divisors (its aliquot sum) s(n): 298836640480
• 138152164640 is an abundant number, because the sum of its proper divisors (298836640480) is greater than itself. Its abundance is 160684475840

Bases of 138152164640

• Binary: 10000000101010100000101011110100100000₂
• Hexadecimal: 0x202A82BD20
• Base-36: 1RGS8CGW

Squares and roots of 138152164640

• 138152164640 squared (138152164640²) is 19086020594717666329600
• 138152164640 cubed (138152164640³) is 2636775059523865753083483705344000
• The square root of 138152164640 is 371688.2627148723
• The cube root of 138152164640 is 5169.5479109389

Scales and comparisons

• 138,152,164,640 seconds is equal to 4,392 years, 42 weeks, 1 day, 9 hours, 17 minutes, 20 seconds.
• To count from 1 to 138,152,164,640 would take you about eight thousand, seven hundred eighty-five 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 138152164640 cubic inches would be around 430.8 feet tall.

Recreational maths with 138152164640

• 138152164640 backwards is 046461251831
• The number of decimal digits it has is: 12
• The sum of 138152164640's digits is 41
• More coming soon!