138451950
138,451,950 is an even composite number composed of six prime numbers multiplied together.
138451950 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138451950:
2 × 33 × 52 × 73 × 13 × 23
(2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 23)See below for interesting mathematical facts about the number 138451950 from the Numbermatics database.
Names of 138451950
- Cardinal: 138451950 can be written as One hundred thirty-eight million, four hundred fifty-one thousand, nine hundred fifty.
Scientific notation
- Scientific notation: 1.3845195 × 108
Factors of 138451950
Divisors of 138451950
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 23 25 26 27 30 35 39 42 45 46 49 50 54 63 65 69 70 75 78 90 91 98 105 115 117 126 130 135 138 147 150 161 175 182 189 195 207 210 225 230 234 245 270 273 294 299 315 322 325 343 345 350 351 378 390 414 441 450 455 483 490 525 546 575 585 598 621 630 637 650 675 686 690 702 735 805 819 882 897 910 945 966 975 1029 1035 1050 1127 1150 1170 1225 1242 1274 1323 1350 1365 1449 1470 1495 1575 1610 1638 1715 1725 1755 1794 1890 1911 1950 2058 2070 2093 2205 2254 2275 2415 2450 2457 2646 2691 2730 2898 2925 2990 3087 3105 3150 3185 3381 3430 3450 3510 3675 3822 4025 4095 4186 4347 4410 4459 4485 4550 4725 4830 4914 5145 5175 5382 5635 5733 5850 6174 6210 6279 6370 6615 6762 6825 7245 7350 7475 7889 8050 8073 8190 8575 8694 8775 8918 8970 9261 9450 9555 10143 10290 10350 10465 11025 11270 11466 12075 12285 12558 13230 13377 13455 13650 14490 14651 14950 15435 15525 15778 15925 16146 16905 17150 17199 17550 18522 18837 19110 20286 20475 20930 21735 22050 22295 22425 23667 24150 24570 25725 26754 26910 28175 28665 29302 30429 30870 31050 31395 31850 33075 33810 34398 36225 37674 39445 40131 40365 40950 43470 43953 44590 44850 46305 47334 47775 50715 51450 52325 56350 56511 57330 60858 61425 62790 66150 66885 67275 71001 72450 73255 77175 78890 80262 80730 84525 85995 87906 92610 94185 95550 101430 102557 104650 108675 111475 113022 118335 120393 122850 131859 133770 134550 142002 143325 146510 152145 154350 156975 169050 171990 188370 197225 200655 201825 205114 213003 217350 219765 222950 231525 236670 240786 253575 263718 282555 286650 304290 307671 313950 334425 355005 366275 394450 395577 401310 403650 426006 429975 439530 463050 470925 507150 512785 565110 591675 601965 615342 659295 668850 710010 732550 760725 791154 859950 923013 941850 1003275 1025570 1065015 1098825 1183350 1203930 1318590 1412775 1521450 1538355 1775025 1846026 1977885 2006550 2130030 2197650 2563925 2769039 2825550 3009825 3076710 3296475 3550050 3955770 4615065 5127850 5325075 5538078 6019650 6592950 7691775 9230130 9889425 10650150 13845195 15383550 19778850 23075325 27690390 46150650 69225975 138451950
- Sum of all divisors σ(n): 499968000
- Sum of proper divisors (its aliquot sum) s(n): 361516050
- 138451950 is an abundant number, because the sum of its proper divisors (361516050) is greater than itself. Its abundance is 223064100
Bases of 138451950
- Binary: 10000100000010011011111011102
- Hexadecimal: 0x8409BEE
- Base-36: 2AFI7I
Squares and roots of 138451950
- 138451950 squared (1384519502) is 19168942458802500
- 138451950 cubed (1384519503) is 2653977462859000789875000
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The
square root of 138451950 is 11766.5606699663 -
The
cube root of 138451950 is 517.3284455505
Scales and comparisons
How big is 138451950?- 138,451,950 seconds is equal to 4 years, 20 weeks, 6 days, 10 hours, 52 minutes, 30 seconds.
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To count from 1 to 138,451,950 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 138451950 cubic inches would be around 43.1 feet tall.
Recreational maths with 138451950
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