138434302125
138,434,302,125 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138434302125 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 512 divisors.
138434302125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138434302125:
33 × 53 × 7 × 29 × 37 × 43 × 127
(3 × 3 × 3 × 5 × 5 × 5 × 7 × 29 × 37 × 43 × 127)See below for interesting mathematical facts about the number 138434302125 from the Numbermatics database.
Names of 138434302125
- Cardinal: 138434302125 can be written as One hundred thirty-eight billion, four hundred thirty-four million, three hundred two thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38434302125 × 1011
Factors of 138434302125
Divisors of 138434302125
- Number of divisors d(n): 512
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 29 35 37 43 45 63 75 87 105 111 125 127 129 135 145 175 185 189 203 215 225 259 261 301 315 333 375 381 387 435 525 555 609 635 645 675 725 777 783 875 889 903 925 945 999 1015 1073 1075 1125 1143 1161 1247 1295 1305 1505 1575 1591 1665 1827 1905 1935 2175 2331 2625 2667 2709 2775 3045 3175 3219 3225 3375 3429 3625 3683 3741 3885 3915 4445 4515 4625 4699 4725 4773 4995 5075 5365 5375 5461 5481 5715 5805 6235 6475 6525 6993 7511 7525 7875 7955 8001 8127 8325 8729 9135 9525 9657 9675 10875 11049 11137 11223 11655 13335 13545 13875 14097 14319 15225 15875 16095 16125 16383 17145 18415 18705 19425 19575 22225 22533 22575 23495 23625 23865 24003 24975 25375 25781 26187 26825 27305 27405 28575 28971 29025 31175 32375 32625 32893 33147 33411 33669 34965 37555 37625 38227 39775 40005 40635 41625 42291 42957 43645 45675 46139 47625 48285 48375 49149 55245 55685 56115 58275 66675 67599 67725 70485 71595 76125 77343 78561 80475 81915 85725 92075 93525 97125 97875 98679 99441 100233 111125 112665 112875 114681 117475 119325 120015 124875 126873 128905 130935 134125 136271 136525 137025 138417 142875 144855 145125 147447 155875 158369 164465 165735 167055 168345 174825 187775 191135 198875 200025 202057 202797 203175 211455 214785 218225 228375 230695 232029 235683 241425 245745 276225 278425 280575 291375 296037 300699 322973 333375 337995 338625 344043 352425 357975 386715 392805 402375 408813 409575 415251 428625 460375 467625 475107 493395 497205 501165 563325 573405 587375 596625 600075 606171 634365 644525 654675 681355 682625 685125 692085 696087 724275 737235 791845 822325 828675 835275 841725 874125 888111 938875 953897 955675 968919 1000125 1010285 1013985 1015875 1032129 1057275 1073925 1091125 1108583 1153475 1160145 1178415 1207125 1226439 1228725 1245753 1381125 1392125 1402875 1414399 1425321 1480185 1503495 1614865 1689975 1720215 1762125 1789875 1818513 1933575 1964025 2044065 2047875 2076255 2375535 2466975 2486025 2505825 2816625 2861691 2867025 2906757 3000375 3030855 3171825 3222625 3273375 3325749 3406775 3460425 3480435 3621375 3679317 3686175 3959225 4111625 4143375 4176375 4208625 4243197 4275963 4440555 4769485 4778375 4844595 5051425 5069925 5160645 5286375 5369625 5455539 5542915 5767375 5800725 5859653 5892075 6132195 6143625 6228765 7071995 7126605 7400925 7517475 8074325 8449875 8585073 8601075 8720271 9092565 9667875 9820125 9977247 10220325 10381275 11877675 12334875 12430125 12529125 12729591 14308455 14335125 14533785 15154275 15859125 16628745 17033875 17302125 17402175 17578959 18396585 18430875 19796125 21215985 21379815 22202775 23847425 24222975 25257125 25349625 25755219 25803225 27277695 27714575 29003625 29298265 29460375 29931741 30660975 31143825 35359975 35633025 37004625 37587375 38188773 40371625 41017571 42925365 43005375 43601355 45462825 49886235 51101625 51906375 52736877 59388375 63647955 71542275 72668925 75771375 83143725 87010875 87894795 91982925 106079925 106899075 111013875 119237125 121114875 123052713 128776095 129016125 136388475 138572875 146491325 149658705 153304875 155719125 158210631 176799875 178165125 190943865 205087855 214626825 218006775 227314125 249431175 263684385 318239775 357711375 363344625 369158139 415718625 439473975 459914625 530399625 534495375 615263565 643880475 681942375 732456625 748293525 791053155 954719325 1025439275 1073134125 1090033875 1107474417 1247155875 1318421925 1591198875 1845790695 2197369875 3076317825 3219402375 3741467625 3955265775 4773596625 5127196375 5537372085 6592109625 9228953475 15381589125 19776328875 27686860425 46144767375 138434302125
- Sum of all divisors σ(n): 320510361600
- Sum of proper divisors (its aliquot sum) s(n): 182076059475
- 138434302125 is an abundant number, because the sum of its proper divisors (182076059475) is greater than itself. Its abundance is 43641757350
Bases of 138434302125
- Binary: 100000001110110101001111010000101011012
- Hexadecimal: 0x203B53D0AD
- Base-36: 1RLG7J59
Squares and roots of 138434302125
- 138434302125 squared (1384343021252) is 19164056004835779515625
- 138434302125 cubed (1384343021253) is 2652962718913856762475917408203125
-
The
square root of 138434302125 is 372067.6042401435 -
The
cube root of 138434302125 is 5173.0646407191
Scales and comparisons
How big is 138434302125?- 138,434,302,125 seconds is equal to 4,401 years, 40 weeks, 4 days, 20 hours, 48 minutes, 45 seconds.
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To count from 1 to 138,434,302,125 would take you about eight thousand, eight hundred three 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 138434302125 cubic inches would be around 431.1 feet tall.
Recreational maths with 138434302125
- 138434302125 backwards is 521203434831
- The number of decimal digits it has is: 12
- The sum of 138434302125's digits is 36
- More coming soon!
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