413113120
413,113,120 is an even composite number composed of six prime numbers multiplied together.
413113120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 413113120:
25 × 5 × 72 × 23 × 29 × 79
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 23 × 29 × 79)See below for interesting mathematical facts about the number 413113120 from the Numbermatics database.
Names of 413113120
- Cardinal: 413113120 can be written as Four hundred thirteen million, one hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.1311312 × 108
Factors of 413113120
Divisors of 413113120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 28 29 32 35 40 46 49 56 58 70 79 80 92 98 112 115 116 140 145 158 160 161 184 196 203 224 230 232 245 280 290 316 322 368 392 395 406 460 464 490 553 560 580 632 644 667 736 784 790 805 812 920 928 980 1015 1106 1120 1127 1160 1264 1288 1334 1421 1568 1580 1610 1624 1817 1840 1960 2030 2212 2254 2291 2320 2528 2576 2668 2765 2842 3160 3220 3248 3335 3634 3680 3871 3920 4060 4424 4508 4582 4640 4669 5152 5336 5530 5635 5684 6320 6440 6496 6670 7105 7268 7742 7840 8120 8848 9016 9085 9164 9338 10672 11060 11270 11368 11455 12640 12719 12880 13340 14210 14536 15484 16037 16240 17696 18032 18170 18328 18676 19355 21344 22120 22540 22736 22910 23345 25438 25760 26680 28420 29072 30968 32074 32480 32683 36064 36340 36656 37352 38710 44240 45080 45472 45820 46690 50876 52693 53360 56840 58144 61936 63595 64148 65366 72680 73312 74704 77420 80185 88480 89033 90160 91640 93380 101752 105386 106720 112259 113680 123872 127190 128296 130732 145360 149408 154840 160370 163415 178066 180320 183280 186760 203504 210772 224518 227360 254380 256592 261464 263465 290720 309680 320740 326830 356132 366560 368851 373520 407008 421544 445165 449036 508760 513184 522928 526930 561295 619360 641480 653660 712264 737702 747040 843088 890330 898072 1017520 1045856 1053860 1122590 1282960 1307320 1424528 1475404 1686176 1780660 1796144 1844255 2035040 2107720 2245180 2565920 2581957 2614640 2849056 2950808 3561320 3592288 3688510 4215440 4490360 5163914 5229280 5901616 7122640 7377020 8430880 8980720 10327828 11803232 12909785 14245280 14754040 17961440 20655656 25819570 29508080 41311312 51639140 59016160 82622624 103278280 206556560 413113120
- Sum of all divisors σ(n): 1241049600
- Sum of proper divisors (its aliquot sum) s(n): 827936480
- 413113120 is an abundant number, because the sum of its proper divisors (827936480) is greater than itself. Its abundance is 414823360
Bases of 413113120
- Binary: 110001001111110011011001000002
- Hexadecimal: 0x189F9B20
- Base-36: 6TYG4G
Squares and roots of 413113120
- 413113120 squared (4131131202) is 170662449916134400
- 413113120 cubed (4131131203) is 70502897151698020323328000
-
The
square root of 413113120 is 20325.1843780073 -
The
cube root of 413113120 is 744.7714086297
Scales and comparisons
How big is 413113120?- 413,113,120 seconds is equal to 13 years, 7 weeks, 9 hours, 38 minutes, 40 seconds.
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To count from 1 to 413,113,120 would take you about nineteen 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 413113120 cubic inches would be around 62.1 feet tall.
Recreational maths with 413113120
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