138481728
138,481,728 is an even composite number composed of seven prime numbers multiplied together.
138481728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138481728:
26 × 3 × 7 × 11 × 17 × 19 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 17 × 19 × 29)See below for interesting mathematical facts about the number 138481728 from the Numbermatics database.
Names of 138481728
- Cardinal: 138481728 can be written as One hundred thirty-eight million, four hundred eighty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38481728 × 108
Factors of 138481728
Divisors of 138481728
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 19 21 22 24 28 29 32 33 34 38 42 44 48 51 56 57 58 64 66 68 76 77 84 87 88 96 102 112 114 116 119 132 133 136 152 154 168 174 176 187 192 203 204 209 224 228 231 232 238 264 266 272 304 308 319 323 336 348 352 357 374 399 406 408 418 448 456 462 464 476 493 528 532 544 551 561 608 609 616 627 638 646 672 696 704 714 748 798 812 816 836 912 924 928 952 957 969 986 1056 1064 1088 1102 1122 1216 1218 1232 1254 1276 1292 1309 1344 1392 1428 1463 1479 1496 1596 1624 1632 1653 1672 1824 1848 1856 1904 1914 1938 1972 2112 2128 2204 2233 2244 2261 2436 2464 2508 2552 2584 2618 2784 2856 2926 2958 2992 3192 3248 3264 3306 3344 3451 3553 3648 3696 3808 3828 3857 3876 3927 3944 4256 4389 4408 4466 4488 4522 4872 4928 5016 5104 5168 5236 5423 5568 5712 5852 5916 5984 6061 6384 6496 6612 6688 6699 6783 6902 7106 7392 7616 7656 7714 7752 7854 7888 8512 8778 8816 8932 8976 9044 9367 9744 10032 10208 10336 10353 10472 10659 10846 11424 11571 11704 11832 11968 12122 12768 12992 13224 13376 13398 13566 13804 14212 14784 15312 15428 15504 15708 15776 16269 17556 17632 17864 17952 18088 18183 18734 19488 20064 20416 20672 20706 20944 21318 21692 22848 23142 23408 23664 24244 24871 25536 26448 26796 27132 27608 28101 28424 30624 30856 31008 31416 31552 32538 35112 35264 35728 35904 36176 36366 37468 37961 38976 40128 41412 41888 42427 42636 43384 46284 46816 47328 48488 49742 52896 53592 54264 55216 56202 56848 61248 61712 62016 62832 65076 65569 70224 71456 72352 72732 74613 74936 75922 82824 83776 84854 85272 86768 92568 93632 94656 96976 99484 103037 105792 107184 108528 110432 112404 113696 113883 123424 125664 127281 130152 131138 140448 142912 144704 145464 149226 149872 151844 165648 169708 170544 173536 185136 193952 196707 198968 206074 214368 217056 220864 224808 227392 227766 246848 251328 254562 260304 262276 280896 290928 298452 299744 303688 309111 331296 339416 341088 347072 370272 387904 393414 397936 412148 428736 434112 449616 455532 509124 520608 524552 581856 596904 599488 607376 618222 662592 678832 682176 721259 740544 786828 795872 824296 899232 911064 1018248 1041216 1049104 1163712 1193808 1214752 1236444 1357664 1442518 1573656 1591744 1648592 1798464 1822128 2036496 2098208 2163777 2387616 2429504 2472888 2715328 2885036 3147312 3297184 3644256 4072992 4196416 4327554 4775232 4945776 5770072 6294624 6594368 7288512 8145984 8655108 9891552 11540144 12589248 17310216 19783104 23080288 34620432 46160576 69240864 138481728
- Sum of all divisors σ(n): 526694400
- Sum of proper divisors (its aliquot sum) s(n): 388212672
- 138481728 is an abundant number, because the sum of its proper divisors (388212672) is greater than itself. Its abundance is 249730944
Bases of 138481728
- Binary: 10000100000100010000010000002
- Hexadecimal: 0x8411040
- Base-36: 2AG56O
Squares and roots of 138481728
- 138481728 squared (1384817282) is 19177188989865984
- 138481728 cubed (1384817283) is 2655690269499215952740352
-
The
square root of 138481728 is 11767.8259674419 -
The
cube root of 138481728 is 517.3655315867
Scales and comparisons
How big is 138481728?- 138,481,728 seconds is equal to 4 years, 20 weeks, 6 days, 19 hours, 8 minutes, 48 seconds.
-
To count from 1 to 138,481,728 would take you about six 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 138481728 cubic inches would be around 43.1 feet tall.
Recreational maths with 138481728
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