138175128000

Names of 138175128000

• Cardinal: 138175128000 can be written as One hundred thirty-eight billion, one hundred seventy-five million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.38175128 × 10¹¹

Factors of 138175128000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 21119

Divisors of 138175128000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 125 126 130 140 144 150 156 160 168 175 180 182 192 195 200 208 210 224 225 234 240 250 252 260 273 280 288 300 312 315 320 325 336 350 360 364 375 390 400 416 420 448 450 455 468 480 500 504 520 525 546 560 576 585 600 624 630 650 672 700 720 728 750 780 800 819 832 840 875 900 910 936 960 975 1000 1008 1040 1050 1092 1120 1125 1170 1200 1248 1260 1300 1344 1365 1400 1440 1456 1500 1560 1575 1600 1625 1638 1680 1750 1800 1820 1872 1950 2000 2016 2080 2100 2184 2240 2250 2275 2340 2400 2496 2520 2600 2625 2730 2800 2880 2912 2925 3000 3120 3150 3250 3276 3360 3500 3600 3640 3744 3900 4000 4032 4095 4160 4200 4368 4500 4550 4680 4800 4875 5040 5200 5250 5460 5600 5824 5850 6000 6240 6300 6500 6552 6720 6825 7000 7200 7280 7488 7800 7875 8000 8190 8400 8736 9000 9100 9360 9750 10080 10400 10500 10920 11200 11375 11700 12000 12480 12600 13000 13104 13650 14000 14400 14560 14625 15600 15750 16380 16800 17472 18000 18200 18720 19500 20160 20475 20800 21000 21089 21840 22750 23400 24000 25200 26000 26208 27300 28000 29120 29250 31200 31500 32760 33600 34125 36000 36400 37440 39000 40950 42000 42178 43680 45500 46800 50400 52000 52416 54600 56000 58500 62400 63000 63267 65520 68250 72000 72800 78000 81900 84000 84356 87360 91000 93600 100800 102375 104000 105445 109200 117000 126000 126534 131040 136500 145600 147623 156000 163800 168000 168712 182000 187200 189801 204750 210890 218400 234000 252000 253068 262080 273000 274157 295246 312000 316335 327600 337424 364000 379602 409500 421780 436800 442869 468000 504000 506136 527225 546000 548314 590492 632670 655200 674848 728000 738115 759204 819000 822471 843560 885738 936000 949005 1012272 1054450 1092000 1096628 1180984 1265340 1310400 1328607 1349696 1370785 1476230 1518408 1581675 1638000 1644942 1687120 1771476 1898010 1919099 2024544 2108900 2184000 2193256 2214345 2361968 2467413 2530680 2636125 2657214 2741570 2952460 3036816 3163350 3276000 3289884 3374240 3542952 3690575 3796020 3838198 4049088 4112355 4217800 4386512 4428690 4723936 4745025 4934826 5061360 5272250 5314428 5483140 5757297 5904920 6073632 6326700 6552000 6579768 6643035 6748480 6853925 7085904 7381150 7592040 7676396 7908375 8224710 8435600 8773024 8857380 9447872 9490050 9595495 9869652 10122720 10544500 10628856 10966280 11071725 11514594 11809840 12147264 12337065 12653400 13159536 13286070 13707850 14171808 14762300 15184080 15352792 15816750 16449420 16871200 17271891 17546048 17714760 18452875 18980100 19190990 19739304 20245440 20561775 21089000 21257712 21932560 22143450 23029188 23619680 23725125 24674130 25306800 26319072 26572140 27415700 28343616 28786485 29524600 30368160 30705584 31633500 32898840 33215175 33742400 34269625 34543782 35429520 36905750 37960200 38381980 39478608 41123550 42178000 42515424 43865120 44286900 46058376 47239360 47450250 47977475 49348260 50613600 52638144 53144280 54831400 55358625 57572970 59049200 60736320 61411168 61685325 63267000 65797680 66430350 68539250 69087564 70859040 73811500 75920400 76763960 78957216 82247100 84356000 85030848 86359455 87730240 88573800 92116752 94900500 95954950 98696520 101227200 102808875 106288560 109662800 110717250 115145940 118098400 122822336 123370650 126534000 131595360 132860700 137078500 138175128 141718080 143932425 147623000 151840800 153527920 157914432 164494200 166075875 168712000 172718910 177147600 184233504 189801000 191909900 197393040 205617750 212577120 219325600 221434500 230291880 236196800 239887375 246741300 253068000 263190720 265721400 274157000 276350256 287864850 295246000 303681600 307055840 308426625 328988400 332151750 345437820 354295200 368467008 379602000 383819800 394786080 411235500 425154240 431797275 438651200 442869000 460583760 479774750 493482600 506136000 531442800 548314000 552700512 575729700 590492000 614111680 616853250 657976800 664303500 690875640 708590400 719662125 759204000 767639600 789572160 822471000 863594550 885738000 921167520 959549500 986965200 1062885600 1096628000 1105401024 1151459400 1180984000 1233706500 1315953600 1328607000 1381751280 1439324250 1518408000 1535279200 1644942000 1727189100 1771476000 1842335040 1919099000 1973930400 2125771200 2158986375 2193256000 2302918800 2467413000 2657214000 2763502560 2878648500 3070558400 3289884000 3454378200 3542952000 3838198000 3947860800 4317972750 4605837600 4934826000 5314428000 5527005120 5757297000 6579768000 6908756400 7676396000 8635945500 9211675200 9869652000 10628856000 11514594000 13817512800 15352792000 17271891000 19739304000 23029188000 27635025600 34543782000 46058376000 69087564000 138175128000
• Sum of all divisors σ(n): 608367876480
• Sum of proper divisors (its aliquot sum) s(n): 470192748480
• 138175128000 is an abundant number, because the sum of its proper divisors (470192748480) is greater than itself. Its abundance is 332017620480

Bases of 138175128000

• Binary: 10000000101011111000010010000111000000₂
• Hexadecimal: 0x202BE121C0
• Base-36: 1RH5WJ40

Squares and roots of 138175128000

• 138175128000 squared (138175128000²) is 19092365997816384000000
• 138175128000 cubed (138175128000³) is 2638090115571126579697152000000000
• The square root of 138175128000 is 371719.1520489629
• The cube root of 138175128000 is 5169.8343188365

Scales and comparisons

• 138,175,128,000 seconds is equal to 4,393 years, 28 weeks, 1 day, 4 hours.
• To count from 1 to 138,175,128,000 would take you about eight thousand, seven hundred eighty-seven 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 138175128000 cubic inches would be around 430.8 feet tall.

Recreational maths with 138175128000

• 138175128000 backwards is 000821571831
• 138175128000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138175128000's digits is 36
• More coming soon!