138642480
138,642,480 is an even composite number composed of six prime numbers multiplied together.
138642480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138642480:
24 × 32 × 5 × 17 × 47 × 241
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 47 × 241)See below for interesting mathematical facts about the number 138642480 from the Numbermatics database.
Names of 138642480
- Cardinal: 138642480 can be written as One hundred thirty-eight million, six hundred forty-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3864248 × 108
Factors of 138642480
Divisors of 138642480
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 47 48 51 60 68 72 80 85 90 94 102 120 136 141 144 153 170 180 188 204 235 240 241 255 272 282 306 340 360 376 408 423 470 482 510 564 612 680 705 720 723 752 765 799 816 846 940 964 1020 1128 1205 1224 1360 1410 1446 1530 1598 1692 1880 1928 2040 2115 2169 2256 2397 2410 2448 2820 2892 3060 3196 3384 3615 3760 3856 3995 4080 4097 4230 4338 4794 4820 5640 5784 6120 6392 6768 7191 7230 7990 8194 8460 8676 9588 9640 10845 11280 11327 11568 11985 12240 12291 12784 14382 14460 15980 16388 16920 17352 19176 19280 20485 21690 22654 23970 24582 28764 28920 31960 32776 33840 33981 34704 35955 36873 38352 40970 43380 45308 47940 49164 56635 57528 57840 61455 63920 65552 67962 71910 73746 81940 86760 90616 95880 98328 101943 113270 115056 122910 135924 143820 147492 163880 169905 173520 181232 184365 191760 192559 196656 203886 226540 245820 271848 287640 294984 327760 339810 368730 385118 407772 453080 491640 509715 543696 575280 577677 589968 679620 737460 770236 815544 906160 962795 983280 1019430 1155354 1359240 1474920 1540472 1631088 1733031 1925590 2038860 2310708 2718480 2888385 2949840 3080944 3466062 3851180 4077720 4621416 5776770 6932124 7702360 8155440 8665155 9242832 11553540 13864248 15404720 17330310 23107080 27728496 34660620 46214160 69321240 138642480
- Sum of all divisors σ(n): 505574784
- Sum of proper divisors (its aliquot sum) s(n): 366932304
- 138642480 is an abundant number, because the sum of its proper divisors (366932304) is greater than itself. Its abundance is 228289824
Bases of 138642480
- Binary: 10000100001110000100001100002
- Hexadecimal: 0x8438430
- Base-36: 2AJL80
Squares and roots of 138642480
- 138642480 squared (1386424802) is 19221737260550400
- 138642480 cubed (1386424803) is 2664949323711113620992000
-
The
square root of 138642480 is 11774.6541350479 -
The
cube root of 138642480 is 517.5656431469
Scales and comparisons
How big is 138642480?- 138,642,480 seconds is equal to 4 years, 21 weeks, 1 day, 15 hours, 48 minutes.
-
To count from 1 to 138,642,480 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 138642480 cubic inches would be around 43.1 feet tall.
Recreational maths with 138642480
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