138048918089472
138,048,918,089,472 is an even composite number composed of six prime numbers multiplied together.
What does the number 138048918089472 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
138048918089472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138048918089472:
28 × 32 × 134 × 312 × 37 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 13 × 31 × 31 × 37 × 59)See below for interesting mathematical facts about the number 138048918089472 from the Numbermatics database.
Names of 138048918089472
- Cardinal: 138048918089472 can be written as One hundred thirty-eight trillion, forty-eight billion, nine hundred eighteen million, eighty-nine thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38048918089472 × 1014
Factors of 138048918089472
Divisors of 138048918089472
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 37 39 48 52 59 62 64 72 74 78 93 96 104 111 117 118 124 128 144 148 156 169 177 186 192 208 222 234 236 248 256 279 288 296 312 333 338 354 372 384 403 416 444 468 472 481 496 507 531 558 576 592 624 666 676 708 744 767 768 806 832 888 936 944 961 962 992 1014 1062 1116 1147 1152 1184 1209 1248 1332 1352 1416 1443 1488 1521 1534 1612 1664 1776 1829 1872 1888 1922 1924 1984 2028 2124 2183 2197 2232 2294 2301 2304 2368 2418 2496 2664 2704 2832 2883 2886 2976 3042 3068 3224 3328 3441 3552 3627 3658 3744 3776 3844 3848 3968 4056 4248 4329 4366 4394 4464 4588 4602 4736 4836 4992 5239 5328 5408 5487 5664 5766 5772 5952 6084 6136 6253 6448 6549 6591 6882 6903 7104 7254 7316 7488 7552 7688 7696 7936 8112 8496 8649 8658 8732 8788 8928 9176 9204 9472 9672 9971 9984 10323 10478 10656 10816 10974 11328 11532 11544 11904 12168 12272 12493 12506 12896 13098 13182 13764 13806 14208 14508 14632 14911 14976 15104 15376 15392 15717 16224 16461 16992 17298 17316 17464 17576 17856 18352 18408 18759 19344 19647 19773 19942 20646 20956 21312 21632 21948 22656 23064 23088 23777 23808 24336 24544 24986 25012 25792 26196 26364 27528 27612 28379 28416 28561 29016 29264 29822 29913 29952 30752 30784 31434 32448 32922 33984 34596 34632 34928 35152 35557 35712 36704 36816 37479 37518 38688 39294 39546 39884 41292 41912 42624 43264 43896 44733 45312 46128 46176 47151 47554 48672 49088 49972 50024 51584 52392 52728 55056 55224 56277 56699 56758 57122 58032 58528 59644 59826 61504 61568 62868 64896 65844 67673 67968 68107 69192 69264 69856 70304 71114 71331 71424 73408 73632 74958 75036 77376 78588 79092 79768 81289 82584 83824 85137 85248 85683 87792 89466 89739 92256 92352 94302 95108 97344 98176 99944 100048 103168 104784 105456 106671 110112 110448 112437 112554 113398 113516 114244 116064 117056 119288 119652 123008 123136 125736 129623 129792 131688 134199 135346 135936 136214 138384 138528 139712 140608 142228 142662 146816 147264 149916 150072 154752 157176 158184 159536 162409 162578 165168 167648 170097 170274 171366 175584 178932 179478 184512 184704 188604 190216 193843 194688 196352 199888 200096 203019 204321 209568 210912 213342 213993 220224 220896 224874 225108 226796 227032 228488 232128 234112 238576 239304 243867 246016 251472 255411 257049 259246 263376 268398 270692 272428 276768 277056 279424 281216 284456 285324 293632 294528 299832 300144 309101 309504 314352 316368 319072 320013 324818 325156 330336 335296 340194 340548 342732 351168 357864 358956 368927 369024 369408 377208 380432 387686 388869 389376 399776 400192 406038 408642 419136 421824 426684 427986 440448 441792 449748 450216 453592 454064 456976 462241 464256 468224 477152 478608 487227 487734 502944 510291 510822 514098 518492 526752 536796 541384 544856 553536 554112 558848 562432 568912 570648 581529 589056 599664 600288 609057 612963 618202 628704 632736 638144 640026 649636 650312 660672 670592 680388 681096 685464 702336 715728 717912 731601 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247399494784 259979130112 272285834496 278324431632 287003987712 292476521376 294976320704 310920986688 331848360792 342553146624 359502390858 371099242176 389968695168 408428751744 414561315584 442464481056 466381480032 479336521144 494798989568 539253586287 556648863264 584953042752 589952641408 621841973376 663696721584 719004781716 742198484352 779937390336 816857503488 884928962112 932762960064 958673042288 1078507172574 1113297726528 1169906085504 1179905282816 1243683946752 1327393443168 1438009563432 1484396968704 1769857924224 1865525920128 1917346084576 2157014345148 2226595453056 2339812171008 2654786886336 2876019126864 3539715848448 3731051840256 3834692169152 4314028690296 4453190906112 5309573772672 5752038253728 7669384338304 8628057380592 10619147545344 11504076507456 15338768676608 17256114761184 23008153014912 34512229522368 46016306029824 69024459044736 138048918089472
- Sum of all divisors σ(n): 465353188274520
- Sum of proper divisors (its aliquot sum) s(n): 327304270185048
- 138048918089472 is an abundant number, because the sum of its proper divisors (327304270185048) is greater than itself. Its abundance is 189255352095576
Bases of 138048918089472
- Binary: 111110110001110000001001011100101101111000000002
- Hexadecimal: 0x7D8E04B96F00
- Base-36: 1CXMSPIGW0
Squares and roots of 138048918089472
- 138048918089472 squared (1380489180894722) is 19057503785673749590597238784
- 138048918089472 cubed (1380489180894723) is 2630867779098278010696693511288751860482048
-
The
square root of 138048918089472 is 11749422.0321457513 -
The
cube root of 138048918089472 is 51682.5978778539
Scales and comparisons
How big is 138048918089472?- 138,048,918,089,472 seconds is equal to 4,389,528 years, 30 weeks, 1 day, 19 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,048,918,089,472 would take you about ten million, nine hundred seventy-three thousand, eight hundred twenty-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 138048918089472 cubic inches would be around 4306.9 feet tall.
Recreational maths with 138048918089472
- 138048918089472 backwards is 274980819840831
- 138048918089472 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138048918089472's digits is 72
- More coming soon!
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"Number 138048918089472 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138048918089472 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138048918089472/
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The information we have on file for 138048918089472 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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