138073746956288
138,073,746,956,288 is an even composite number composed of six prime numbers multiplied together.
138073746956288 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138073746956288:
213 × 11 × 13 × 137 × 173 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 137 × 173 × 4973)See below for interesting mathematical facts about the number 138073746956288 from the Numbermatics database.
Names of 138073746956288
- Cardinal: 138073746956288 can be written as One hundred thirty-eight trillion, seventy-three billion, seven hundred forty-six million, nine hundred fifty-six thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38073746956288 × 1014
Factors of 138073746956288
Divisors of 138073746956288
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 137 143 173 176 208 256 274 286 346 352 416 512 548 572 692 704 832 1024 1096 1144 1384 1408 1507 1664 1781 1903 2048 2192 2249 2288 2768 2816 3014 3328 3562 3806 4096 4384 4498 4576 4973 5536 5632 6028 6656 7124 7612 8192 8768 8996 9152 9946 11072 11264 12056 13312 14248 15224 17536 17992 18304 19591 19892 22144 22528 23701 24112 24739 26624 28496 30448 35072 35984 36608 39182 39784 44288 45056 47402 48224 49478 53248 54703 56992 60896 64649 70144 71968 73216 78364 79568 88576 90112 94804 96448 98956 106496 109406 113984 121792 129298 140288 143936 146432 156728 159136 177152 189608 192896 197912 218812 227968 243584 258596 260711 280576 287872 292864 308113 313456 318272 354304 379216 385792 395824 437624 455936 487168 517192 521422 561152 575744 585728 616226 626912 636544 681301 708608 711139 758432 771584 791648 860329 875248 911872 974336 1034384 1042844 1122304 1151488 1171456 1232452 1253824 1273088 1362602 1417216 1422278 1516864 1543168 1583296 1720658 1750496 1823744 1948672 2068768 2085688 2302976 2464904 2507648 2546176 2725204 2844556 3033728 3086336 3166592 3389243 3441316 3500992 3647488 3897344 4137536 4171376 4605952 4929808 5015296 5092352 5450408 5689112 6067456 6172672 6333184 6778486 6882632 7001984 7294976 7494311 7794688 8275072 8342752 8856913 9211904 9463619 9859616 10030592 10184704 10900816 11184277 11378224 12134912 12345344 12666368 13556972 13765264 14003968 14589952 14988622 15589376 16550144 16685504 17713826 18423808 18927238 19719232 20061184 20369408 21801632 22368554 22756448 24269824 25332736 27113944 27530528 28007936 29977244 33100288 33371008 35427652 37854476 39438464 40122368 40738816 43603264 44737108 45512896 48539648 50665472 54227888 55061056 56015872 59954488 66200576 66742016 70855304 75708952 78876928 80244736 87206528 89474216 91025792 97079296 97426043 101330944 108455776 110122112 112031744 117865073 119908976 123027047 132401152 133484032 141710608 151417904 157753856 160489472 174413056 178948432 182051584 194158592 194852086 202661888 216911552 220244224 224063488 235730146 239817952 246054094 264802304 266968064 283421216 302835808 315507712 348826112 357896864 364103168 389704172 433823104 440488448 448126976 471460292 479635904 492108188 529604608 533936128 566842432 605671616 631015424 697652224 715793728 728206336 779408344 867646208 880976896 942920584 959271808 984216376 1067872256 1133684864 1211343232 1262030848 1296515803 1395304448 1431587456 1456412672 1532245949 1558816688 1735292416 1761953792 1885841168 1918543616 1968432752 2135744512 2267369728 2422686464 2524061696 2593031606 2790608896 2863174912 2912825344 3064491898 3117633376 3470584832 3523907584 3771682336 3837087232 3936865504 4534739456 4845372928 5186063212 5581217792 5726349824 5825650688 6128983796 6235266752 6941169664 7047815168 7543364672 7674174464 7873731008 9069478912 9690745856 10372126424 11452699648 12257967592 12470533504 13882339328 15086729344 15348348928 15747462016 16854705439 18138957824 19381491712 20744252848 22905399296 24515935184 24941067008 27764678656 30173458688 30696697856 31494924032 33709410878 36277915648 38762983424 41488505696 45810798592 49031870368 49882134016 60346917376 61393395712 62989848064 67418821756 72555831296 77525966848 82977011392 91621597184 98063740736 99764268032 120693834752 125979696128 134837643512 165954022784 196127481472 199528536064 241387669504 251959392256 269675287024 331908045568 392254962944 399057072128 482775339008 503918784512 539350574048 663816091136 784509925888 798114144256 965550678016 1007837569024 1078701148096 1327632182272 1569019851776 2157402296192 2655264364544 3138039703552 4314804592384 5310528729088 6276079407104 8629609184768 10621057458176 12552158814208 17259218369536 34518436739072 69036873478144 138073746956288
- Sum of all divisors σ(n): 328728099252672
- Sum of proper divisors (its aliquot sum) s(n): 190654352296384
- 138073746956288 is an abundant number, because the sum of its proper divisors (190654352296384) is greater than itself. Its abundance is 52580605340096
Bases of 138073746956288
- Binary: 111110110010011110011001010001111100000000000002
- Hexadecimal: 0x7D93CCA3E000
- Base-36: 1CXY7BZ94W
Squares and roots of 138073746956288
- 138073746956288 squared (1380737469562882) is 19064359598549049744182738944
- 138073746956288 cubed (1380737469562883) is 2632287563093741774696926156303187283279872
-
The
square root of 138073746956288 is 11750478.5841380945 -
The
cube root of 138073746956288 is 51685.6961598093
Scales and comparisons
How big is 138073746956288?- 138,073,746,956,288 seconds is equal to 4,390,318 years, 3 weeks, 1 day, 22 hours, 58 minutes, 8 seconds.
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To count from 1 to 138,073,746,956,288 would take you about ten million, nine hundred seventy-five thousand, seven hundred ninety-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 138073746956288 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138073746956288
- 138073746956288 backwards is 882659647370831
- The number of decimal digits it has is: 15
- The sum of 138073746956288's digits is 77
- More coming soon!
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