138198060
138,198,060 is an even composite number composed of seven prime numbers multiplied together.
138198060 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138198060:
22 × 32 × 5 × 7 × 11 × 132 × 59
(2 × 2 × 3 × 3 × 5 × 7 × 11 × 13 × 13 × 59)See below for interesting mathematical facts about the number 138198060 from the Numbermatics database.
Names of 138198060
- Cardinal: 138198060 can be written as One hundred thirty-eight million, one hundred ninety-eight thousand and sixty.
Scientific notation
- Scientific notation: 1.3819806 × 108
Factors of 138198060
Divisors of 138198060
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 13 14 15 18 20 21 22 26 28 30 33 35 36 39 42 44 45 52 55 59 60 63 65 66 70 77 78 84 90 91 99 105 110 117 118 126 130 132 140 143 154 156 165 169 177 180 182 195 198 210 220 231 234 236 252 260 273 286 295 308 315 330 338 354 364 385 390 396 413 420 429 455 462 468 495 507 531 546 572 585 590 630 649 660 676 693 708 715 767 770 780 819 826 845 858 885 910 924 990 1001 1014 1062 1092 1155 1170 1180 1183 1239 1260 1287 1298 1365 1386 1430 1521 1534 1540 1638 1652 1690 1716 1770 1820 1859 1947 1980 2002 2028 2065 2124 2145 2301 2310 2340 2366 2478 2535 2574 2596 2655 2730 2772 2860 3003 3042 3068 3245 3276 3380 3465 3540 3549 3717 3718 3835 3894 4004 4095 4130 4290 4543 4602 4620 4732 4956 5005 5070 5148 5310 5369 5460 5577 5841 5915 6006 6084 6195 6435 6490 6903 6930 7098 7434 7436 7605 7670 7788 8190 8260 8437 8580 9009 9086 9204 9295 9735 9971 10010 10140 10620 10647 10738 11154 11505 11682 11830 12012 12390 12870 12980 13013 13629 13806 13860 14196 14868 15015 15210 15340 16107 16380 16731 16874 17745 18018 18172 18585 18590 19470 19942 20020 21294 21476 22308 22715 23010 23364 23660 24780 25311 25740 26026 26845 27258 27612 27885 29205 29913 30030 30420 32214 33462 33748 34515 35490 36036 37170 37180 38940 39039 39884 40887 42185 42588 45045 45430 46020 48321 49855 50622 52052 53235 53690 54516 55770 58410 59059 59826 60060 64428 65065 66924 68145 69030 69797 70980 74340 75933 78078 80535 81774 83655 84370 89739 90090 90860 96642 99710 101244 106470 107380 109681 111540 116820 117117 118118 119652 126555 130130 136290 138060 139594 149565 151866 156156 161070 163548 167310 168740 177177 179478 180180 193284 195195 199420 204435 209391 212940 219362 234234 236236 241605 253110 260260 272580 279188 295295 299130 303732 322140 329043 334620 348985 354354 358956 379665 390390 408870 418782 438724 448695 468468 483210 506220 531531 548405 585585 590590 598260 628173 658086 697970 708708 759330 767767 780780 817740 837564 885885 897390 966420 987129 1046955 1063062 1096810 1171170 1181180 1256346 1316172 1395940 1518660 1535534 1645215 1771770 1794780 1974258 2093910 2126124 2193620 2303301 2342340 2512692 2657655 3071068 3140865 3290430 3543540 3838835 3948516 4187820 4606602 4935645 5315310 6281730 6580860 6909903 7677670 9213204 9871290 10630620 11516505 12563460 13819806 15355340 19742580 23033010 27639612 34549515 46066020 69099030 138198060
- Sum of all divisors σ(n): 575527680
- Sum of proper divisors (its aliquot sum) s(n): 437329620
- 138198060 is an abundant number, because the sum of its proper divisors (437329620) is greater than itself. Its abundance is 299131560
Bases of 138198060
- Binary: 10000011110010111100001011002
- Hexadecimal: 0x83CBC2C
- Base-36: 2AA2B0
Squares and roots of 138198060
- 138198060 squared (1381980602) is 19098703787763600
- 138198060 cubed (1381980603) is 2639403811983581258616000
-
The
square root of 138198060 is 11755.7670953451 -
The
cube root of 138198060 is 517.0120303935
Scales and comparisons
How big is 138198060?- 138,198,060 seconds is equal to 4 years, 20 weeks, 3 days, 12 hours, 21 minutes.
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To count from 1 to 138,198,060 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 138198060 cubic inches would be around 43.1 feet tall.
Recreational maths with 138198060
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