138869640
138,869,640 is an even composite number composed of six prime numbers multiplied together.
138869640 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 138869640:
23 × 35 × 5 × 7 × 13 × 157
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 157)See below for interesting mathematical facts about the number 138869640 from the Numbermatics database.
Names of 138869640
- Cardinal: 138869640 can be written as One hundred thirty-eight million, eight hundred sixty-nine thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3886964 × 108
Factors of 138869640
Divisors of 138869640
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 27 28 30 35 36 39 40 42 45 52 54 56 60 63 65 70 72 78 81 84 90 91 104 105 108 117 120 126 130 135 140 156 157 162 168 180 182 189 195 210 216 234 243 252 260 270 273 280 312 314 315 324 351 360 364 378 390 405 420 455 468 471 486 504 520 540 546 567 585 628 630 648 702 728 756 780 785 810 819 840 910 936 942 945 972 1053 1080 1092 1099 1134 1170 1215 1256 1260 1365 1404 1413 1512 1560 1570 1620 1638 1701 1755 1820 1884 1890 1944 2041 2106 2184 2198 2268 2340 2355 2430 2457 2520 2730 2808 2826 2835 3140 3159 3240 3276 3297 3402 3510 3640 3768 3780 4082 4095 4212 4239 4396 4536 4680 4710 4860 4914 5265 5460 5495 5652 5670 6123 6280 6318 6552 6594 6804 7020 7065 7371 7560 8164 8190 8424 8478 8505 8792 9420 9720 9828 9891 10205 10530 10920 10990 11304 11340 12246 12285 12636 12717 13188 13608 14040 14130 14287 14742 15795 16328 16380 16485 16956 17010 18369 18840 19656 19782 20410 21060 21195 21980 22113 22680 24492 24570 25272 25434 26376 28260 28574 29484 29673 30615 31590 32760 32970 33912 34020 36738 36855 38151 39564 40820 42120 42390 42861 43960 44226 48984 49140 49455 50868 55107 56520 57148 58968 59346 61230 63180 63585 65940 68040 71435 73476 73710 76302 79128 81640 84780 85722 88452 89019 91845 98280 98910 101736 110214 110565 114296 118692 122460 126360 127170 128583 131880 142870 146952 147420 148365 152604 165321 169560 171444 176904 178038 183690 190755 197820 214305 220428 221130 237384 244920 254340 257166 267057 275535 285740 294840 296730 305208 330642 342888 356076 367380 381510 385749 395640 428610 440856 442260 445095 495963 508680 514332 534114 551070 571480 593460 642915 661284 712152 734760 763020 771498 826605 857220 884520 890190 991926 1028664 1068228 1102140 1157247 1186920 1285830 1322568 1335285 1526040 1542996 1653210 1714440 1780380 1928745 1983852 2136456 2204280 2314494 2479815 2571660 2670570 3085992 3306420 3471741 3560760 3857490 3967704 4628988 4959630 5143320 5341140 5786235 6612840 6943482 7714980 9257976 9919260 10682280 11572470 13886964 15429960 17358705 19838520 23144940 27773928 34717410 46289880 69434820 138869640
- Sum of all divisors σ(n): 579720960
- Sum of proper divisors (its aliquot sum) s(n): 440851320
- 138869640 is an abundant number, because the sum of its proper divisors (440851320) is greater than itself. Its abundance is 301981680
Bases of 138869640
- Binary: 10000100011011111011100010002
- Hexadecimal: 0x846FB88
- Base-36: 2AOGI0
Squares and roots of 138869640
- 138869640 squared (1388696402) is 19284776913729600
- 138869640 cubed (1388696403) is 2678070027489940609344000
-
The
square root of 138869640 is 11784.2963302865 -
The
cube root of 138869640 is 517.8481589113
Scales and comparisons
How big is 138869640?- 138,869,640 seconds is equal to 4 years, 21 weeks, 4 days, 6 hours, 54 minutes.
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To count from 1 to 138,869,640 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 138869640 cubic inches would be around 43.2 feet tall.
Recreational maths with 138869640
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