138875648175
138,875,648,175 is an odd composite number composed of five prime numbers multiplied together.
138875648175 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138875648175:
37 × 52 × 11 × 173 × 47
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 17 × 17 × 17 × 47)See below for interesting mathematical facts about the number 138875648175 from the Numbermatics database.
Names of 138875648175
- Cardinal: 138875648175 can be written as One hundred thirty-eight billion, eight hundred seventy-five million, six hundred forty-eight thousand, one hundred seventy-five.
Scientific notation
- Scientific notation: 1.38875648175 × 1011
Factors of 138875648175
Divisors of 138875648175
- Number of divisors d(n): 384
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Complete list of divisors:
1 3 5 9 11 15 17 25 27 33 45 47 51 55 75 81 85 99 135 141 153 165 187 225 235 243 255 275 289 297 405 423 425 459 495 517 561 675 705 729 765 799 825 867 891 935 1175 1215 1269 1275 1377 1445 1485 1551 1683 2025 2115 2187 2295 2397 2475 2585 2601 2673 2805 3179 3525 3645 3807 3825 3995 4131 4335 4455 4653 4675 4913 5049 6075 6345 6885 7191 7225 7425 7755 7803 8019 8415 8789 9537 10575 10935 11421 11475 11985 12393 12925 13005 13365 13583 13959 14025 14739 15147 15895 18225 19035 19975 20655 21573 21675 22275 23265 23409 24057 24565 25245 26367 28611 31725 34263 34425 35955 37179 38775 39015 40095 40749 41877 42075 43945 44217 45441 47685 54043 54675 57105 59925 61965 64719 65025 66825 67915 69795 70227 73695 75735 79101 79475 85833 95175 102789 103275 107865 116325 117045 120285 122247 122825 125631 126225 131835 132651 136323 143055 149413 162129 171315 179775 185895 194157 195075 200475 203745 209385 210681 219725 221085 227205 230911 237303 238425 257499 270215 285525 309825 323595 339575 348975 351135 366741 368475 376893 378675 395505 397953 408969 429165 448239 486387 513945 539325 582471 585225 601425 611235 628155 632043 659175 663255 681615 692733 711909 715275 747065 772497 810645 856575 929475 970785 1018725 1046925 1053405 1100223 1105425 1130679 1136025 1154555 1186515 1193859 1287495 1344717 1351075 1459161 1617975 1747413 1755675 1833705 1884465 1977525 1989765 2044845 2078199 2135727 2145825 2241195 2317491 2431935 2540021 2569725 2912355 3056175 3140775 3160215 3300669 3316275 3408075 3463665 3559545 3581577 3735325 3862485 4034151 4053225 4377483 4853925 5267025 5501115 5653395 5772775 5932575 5969295 6234597 6407181 6437475 6723585 6952473 7295805 7620063 8737065 9168525 9422325 9902007 9948825 10224225 10390995 10678635 10744731 11205975 11587455 12102453 12159675 12700105 13132449 14561775 15801075 16503345 17318325 17797725 17907885 18703791 19221543 19312425 20170755 21887415 22860189 27505575 28266975 29706021 29846475 31172985 32035905 33617925 34762365 36307359 36479025 38100315 39397347 43685325 49510035 51954975 53393175 53723655 56111373 57937275 60512265 63500525 65662245 68580567 82516725 89539425 93518955 96107715 100853775 108922077 109437075 114300945 118192041 148530105 155864925 160179525 168334119 173811825 181536795 190501575 196986735 205741701 247550175 268618275 280556865 302561325 326766231 328311225 342902835 467594775 480538575 505002357 544610385 571504725 590960205 617225103 742650525 841670595 907683975 984933675 1028708505 1402784325 1633831155 1714514175 1851675309 2525011785 2723051925 2954801025 3086125515 4208352975 5143542525 5555025927 8169155775 9258376545 12625058925 15430627575 27775129635 46291882725 138875648175
- Sum of all divisors σ(n): 305723289600
- Sum of proper divisors (its aliquot sum) s(n): 166847641425
- 138875648175 is an abundant number, because the sum of its proper divisors (166847641425) is greater than itself. Its abundance is 27971993250
Bases of 138875648175
- Binary: 100000010101011010001000111000101011112
- Hexadecimal: 0x2055A238AF
- Base-36: 1RSQZ3XR
Squares and roots of 138875648175
- 138875648175 squared (1388756481752) is 19286445656026380830625
- 138875648175 cubed (1388756481753) is 2678417641472576732752441765359375
-
The
square root of 138875648175 is 372660.2315447679 -
The
cube root of 138875648175 is 5178.5562701203
Scales and comparisons
How big is 138875648175?- 138,875,648,175 seconds is equal to 4,415 years, 42 weeks, 3 days, 56 minutes, 15 seconds.
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To count from 1 to 138,875,648,175 would take you about eight thousand, eight hundred thirty-one 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 138875648175 cubic inches would be around 431.5 feet tall.
Recreational maths with 138875648175
- 138875648175 backwards is 571846578831
- The number of decimal digits it has is: 12
- The sum of 138875648175's digits is 63
- More coming soon!
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