138442526208
138,442,526,208 is an even composite number composed of six prime numbers multiplied together.
138442526208 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138442526208:
29 × 32 × 7 × 47 × 53 × 1723
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 47 × 53 × 1723)See below for interesting mathematical facts about the number 138442526208 from the Numbermatics database.
Names of 138442526208
- Cardinal: 138442526208 can be written as One hundred thirty-eight billion, four hundred forty-two million, five hundred twenty-six thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.38442526208 × 1011
Factors of 138442526208
Divisors of 138442526208
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 53 56 63 64 72 84 94 96 106 112 126 128 141 144 159 168 188 192 212 224 252 256 282 288 318 329 336 371 376 384 423 424 448 477 504 512 564 576 636 658 672 742 752 768 846 848 896 954 987 1008 1113 1128 1152 1272 1316 1344 1484 1504 1536 1692 1696 1723 1792 1908 1974 2016 2226 2256 2304 2491 2544 2632 2688 2961 2968 3008 3339 3384 3392 3446 3584 3816 3948 4032 4452 4512 4608 4982 5088 5169 5264 5376 5922 5936 6016 6678 6768 6784 6892 7473 7632 7896 8064 8904 9024 9964 10176 10338 10528 10752 11844 11872 12032 12061 13356 13536 13568 13784 14946 15264 15507 15792 16128 17437 17808 18048 19928 20352 20676 21056 22419 23688 23744 24064 24122 26712 27072 27136 27568 29892 30528 31014 31584 32256 34874 35616 36096 36183 39856 40704 41352 42112 44838 47376 47488 48244 52311 53424 54144 55136 59784 61056 62028 63168 69748 71232 72192 72366 79712 80981 81408 82704 84224 89676 91319 94752 94976 96488 104622 106848 108288 108549 110272 119568 122112 124056 126336 139496 142464 144732 156933 159424 161962 165408 168448 179352 182638 189504 189952 192976 209244 213696 216576 217098 220544 239136 242943 244224 248112 252672 273957 278992 284928 289464 313866 318848 323924 330816 358704 365276 379008 385952 418488 427392 434196 441088 478272 485886 496224 505344 547914 557984 566867 569856 578928 627732 637696 639233 647848 661632 717408 728829 730552 758016 771904 821871 836976 854784 868392 882176 956544 971772 992448 1095828 1115968 1133734 1157856 1255464 1275392 1278466 1295696 1323264 1434816 1457658 1461104 1516032 1543808 1643742 1673952 1700601 1709568 1736784 1913088 1917699 1943544 1984896 2191656 2231936 2267468 2315712 2510928 2556932 2591392 2646528 2869632 2915316 2922208 3087616 3287484 3347904 3401202 3473568 3826176 3835398 3887088 3969792 4291993 4383312 4463872 4534936 4631424 5021856 5101803 5113864 5182784 5739264 5753097 5830632 5844416 6175232 6574968 6695808 6802404 6947136 7670796 7774176 7939584 8583986 8766624 8927744 9069872 9262848 10043712 10203606 10227728 10365568 11478528 11506194 11661264 11688832 12875979 13149936 13391616 13604808 13894272 15341592 15548352 17167972 17533248 18139744 18525696 20087424 20407212 20455456 20731136 23012388 23322528 23377664 25751958 26299872 26783232 27209616 27788544 30043951 30683184 31096704 34335944 35066496 36279488 38627937 40174848 40814424 40910912 41462272 46024776 46645056 46755328 51503916 52599744 54419232 55577088 60087902 61366368 62193408 68671888 70132992 72558976 77255874 80349696 81628848 81821824 90131853 92049552 93290112 103007832 105199488 108838464 120175804 122732736 124386816 137343776 140265984 145117952 154511748 163257696 163643648 180263706 184099104 186580224 206015664 210398976 217676928 240351608 245465472 270395559 274687552 290235904 309023496 326515392 327287296 360527412 368198208 373160448 412031328 420797952 435353856 480703216 490930944 540791118 549375104 618046992 653030784 721054824 736396416 824062656 870707712 961406432 981861888 1081582236 1098750208 1236093984 1306061568 1442109648 1472792832 1648125312 1922812864 2163164472 2197500416 2472187968 2612123136 2884219296 2945585664 3296250624 3845625728 4326328944 4944375936 5768438592 6592501248 7691251456 8652657888 9888751872 11536877184 15382502912 17305315776 19777503744 23073754368 34610631552 46147508736 69221263104 138442526208
- Sum of all divisors σ(n): 475424142336
- Sum of proper divisors (its aliquot sum) s(n): 336981616128
- 138442526208 is an abundant number, because the sum of its proper divisors (336981616128) is greater than itself. Its abundance is 198539089920
Bases of 138442526208
- Binary: 100000001110111101000101001110000000002
- Hexadecimal: 0x203BD14E00
- Base-36: 1RLL3SW0
Squares and roots of 138442526208
- 138442526208 squared (1384425262082) is 19166333062852766859264
- 138442526208 cubed (1384425262083) is 2653435567365251087158970167590912
-
The
square root of 138442526208 is 372078.6559425305 -
The
cube root of 138442526208 is 5173.1670788909
Scales and comparisons
How big is 138442526208?- 138,442,526,208 seconds is equal to 4,402 years, 2 weeks, 2 days, 1 hour, 16 minutes, 48 seconds.
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To count from 1 to 138,442,526,208 would take you about eight thousand, eight hundred four 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 138442526208 cubic inches would be around 431.1 feet tall.
Recreational maths with 138442526208
- 138442526208 backwards is 802625244831
- The number of decimal digits it has is: 12
- The sum of 138442526208's digits is 45
- More coming soon!
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