138400835625
138,400,835,625 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138400835625 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
138400835625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138400835625:
33 × 54 × 13 × 172 × 37 × 59
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 17 × 17 × 37 × 59)See below for interesting mathematical facts about the number 138400835625 from the Numbermatics database.
Names of 138400835625
- Cardinal: 138400835625 can be written as One hundred thirty-eight billion, four hundred million, eight hundred thirty-five thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38400835625 × 1011
Factors of 138400835625
Divisors of 138400835625
- Number of divisors d(n): 480
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Complete list of divisors:
1 3 5 9 13 15 17 25 27 37 39 45 51 59 65 75 85 111 117 125 135 153 177 185 195 221 225 255 289 295 325 333 351 375 425 459 481 531 555 585 625 629 663 675 765 767 867 885 925 975 999 1003 1105 1125 1275 1443 1445 1475 1593 1625 1665 1755 1875 1887 1989 2125 2183 2295 2301 2405 2601 2655 2775 2925 3009 3145 3315 3375 3757 3825 3835 4329 4335 4425 4625 4875 4995 5015 5525 5625 5661 5967 6375 6549 6903 7215 7225 7375 7803 7965 8125 8177 8325 8775 9027 9435 9945 10625 10693 10915 11271 11475 11505 12025 12987 13005 13039 13275 13875 14625 15045 15725 16575 16875 16983 17051 18785 19125 19175 19647 20709 21645 21675 22125 23125 24375 24531 24975 25075 27081 27625 28305 28379 29835 31875 32079 32745 33813 34515 36075 36125 36875 37111 39015 39117 39825 40885 41625 43875 45135 47175 49725 51153 53465 54575 56355 57375 57525 58941 60125 64935 65025 65195 66375 69375 73125 73593 75225 78625 82875 84915 85137 85255 93925 95625 95875 96237 98235 101439 103545 108225 108375 110625 111333 117351 122655 124875 125375 135405 138125 139009 141525 141895 149175 153459 160395 163725 169065 172575 180375 180625 185555 195075 195585 199125 204425 208125 219375 220779 221663 225675 235875 248625 255411 255765 267325 272875 281775 286875 287625 288711 294705 300625 324675 325125 325975 331875 333999 352053 367965 376125 393125 414375 417027 424575 425685 426275 460377 469625 479375 481185 482443 491175 507195 517725 541125 541875 556665 586755 613275 624375 626875 630887 664989 677025 695045 707625 709475 745875 766233 767295 801975 818625 845325 862875 901875 927775 975375 977925 995625 1001997 1022125 1103895 1108315 1128375 1179375 1243125 1251081 1277055 1278825 1336625 1364375 1408875 1438125 1443555 1447329 1473525 1623375 1625625 1629875 1669995 1760265 1839825 1880625 1892661 1994967 2085135 2122875 2128425 2131375 2301885 2348125 2405925 2412215 2455875 2535975 2588625 2705625 2783325 2933775 3066375 3154435 3324945 3385125 3475225 3538125 3547375 3729375 3753243 3831165 3836475 4009875 4093125 4226625 4314375 4341987 4638875 4876875 4889625 5009985 5110625 5519475 5541575 5641875 5677983 5984901 6255405 6385275 6394125 6683125 7044375 7217775 7236645 7367625 8116875 8149375 8201531 8349975 8801325 9199125 9463305 9974835 10425675 10614375 10642125 10656875 11509425 12029625 12061075 12279375 12679875 12943125 13025961 13916625 14668875 15331875 15772175 16624725 16925625 17033949 17376125 17736875 18766215 19155825 19182375 20049375 21133125 21709935 23194375 24448125 24604593 25049925 27597375 27707875 28389915 29924505 31277025 31926375 31970625 36088875 36183225 36838125 41007655 41749875 44006625 45995625 47316525 49874175 52128375 53210625 57547125 60148125 60305375 63399375 65129805 69583125 73344375 73813779 78860875 83123625 85169745 86880625 93831075 95779125 95911875 108549675 123022965 125249625 137986875 138539375 141949575 149622525 156385125 159631875 180444375 180916125 205038275 208749375 220033125 221441337 236582625 249370875 260641875 287735625 301526875 325649025 369068895 394304375 415618125 425848725 469155375 478895625 542748375 615114825 626248125 709747875 748112625 781925625 904580625 1025191375 1107206685 1182913125 1246854375 1628245125 1845344475 2129243625 2345776875 2713741875 3075574125 3548739375 3740563125 5125956875 5536033425 8141225625 9226722375 10646218125 15377870625 27680167125 46133611875 138400835625
- Sum of all divisors σ(n): 306134505600
- Sum of proper divisors (its aliquot sum) s(n): 167733669975
- 138400835625 is an abundant number, because the sum of its proper divisors (167733669975) is greater than itself. Its abundance is 29332834350
Bases of 138400835625
- Binary: 100000001110010101010100101000001010012
- Hexadecimal: 0x2039552829
- Base-36: 1RKWA889
Squares and roots of 138400835625
- 138400835625 squared (1384008356252) is 19154791301698269140625
- 138400835625 cubed (1384008356253) is 2651039122377521930678650634765625
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The
square root of 138400835625 is 372022.6278400281 -
The
cube root of 138400835625 is 5172.6477442371
Scales and comparisons
How big is 138400835625?- 138,400,835,625 seconds is equal to 4,400 years, 37 weeks, 2 days, 12 hours, 33 minutes, 45 seconds.
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To count from 1 to 138,400,835,625 would take you about eight thousand, eight hundred 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 138400835625 cubic inches would be around 431.1 feet tall.
Recreational maths with 138400835625
- 138400835625 backwards is 526538004831
- 138400835625 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138400835625's digits is 45
- More coming soon!
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