345313350720
345,313,350,720 is an even composite number composed of eight prime numbers multiplied together.
What does the number 345313350720 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1792 divisors.
345313350720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 345313350720:
26 × 33 × 5 × 13 × 19 × 43 × 53 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 19 × 43 × 53 × 71)See below for interesting mathematical facts about the number 345313350720 from the Numbermatics database.
Names of 345313350720
- Cardinal: 345313350720 can be written as Three hundred forty-five billion, three hundred thirteen million, three hundred fifty thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 3.4531335072 × 1011
Factors of 345313350720
Divisors of 345313350720
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 43 45 48 52 53 54 57 60 64 65 71 72 76 78 80 86 90 95 96 104 106 108 114 117 120 129 130 135 142 144 152 156 159 160 171 172 180 190 192 195 208 212 213 215 216 228 234 240 247 258 260 265 270 284 285 288 304 312 318 320 342 344 351 355 360 380 387 390 416 424 426 430 432 456 468 477 480 494 513 516 520 530 540 559 568 570 576 585 608 624 636 639 645 684 688 689 702 710 720 741 760 774 780 795 817 832 848 852 855 860 864 912 923 936 954 960 988 1007 1026 1032 1040 1060 1065 1080 1118 1136 1140 1161 1170 1216 1235 1248 1272 1278 1290 1349 1368 1376 1378 1404 1420 1431 1440 1482 1520 1548 1560 1590 1634 1677 1696 1704 1710 1720 1728 1755 1824 1846 1872 1908 1917 1935 1976 2014 2052 2064 2067 2080 2120 2130 2160 2223 2236 2272 2279 2280 2322 2340 2385 2451 2470 2496 2544 2556 2565 2580 2698 2736 2752 2756 2769 2795 2808 2840 2862 2880 2964 3021 3040 3053 3096 3120 3180 3195 3268 3354 3392 3408 3420 3440 3445 3510 3648 3692 3705 3744 3763 3816 3834 3870 3952 4028 4047 4085 4104 4128 4134 4160 4240 4260 4320 4446 4472 4544 4558 4560 4615 4644 4680 4770 4902 4940 5031 5035 5088 5112 5130 5160 5396 5472 5512 5538 5590 5616 5680 5724 5805 5928 6042 6080 6106 6192 6201 6240 6360 6390 6536 6669 6708 6745 6816 6837 6840 6880 6890 7020 7155 7353 7384 7410 7488 7526 7632 7668 7740 7904 8056 8094 8170 8208 8256 8268 8307 8385 8480 8520 8640 8892 8944 9063 9116 9120 9159 9230 9288 9360 9540 9585 9804 9880 10062 10070 10176 10224 10260 10320 10335 10621 10792 10944 11024 11076 11115 11180 11232 11289 11360 11395 11448 11610 11856 12084 12141 12212 12255 12384 12402 12480 12720 12780 13072 13091 13338 13416 13490 13632 13674 13680 13760 13780 13845 14040 14310 14706 14768 14820 15052 15093 15105 15264 15265 15336 15480 15808 16112 16188 16340 16416 16536 16614 16770 16960 17040 17537 17784 17888 18126 18232 18240 18318 18460 18576 18603 18720 18815 19080 19170 19608 19760 20124 20140 20235 20448 20511 20520 20640 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86328337680 115104450240 172656675360 345313350720
- Sum of all divisors σ(n): 1459996876800
- Sum of proper divisors (its aliquot sum) s(n): 1114683526080
- 345313350720 is an abundant number, because the sum of its proper divisors (1114683526080) is greater than itself. Its abundance is 769370175360
Bases of 345313350720
- Binary: 1010000011001100100011110010100010000002
- Hexadecimal: 0x5066479440
- Base-36: 4EMUNIO0
Squares and roots of 345313350720
- 345313350720 squared (3453133507202) is 119241310185473724518400
- 345313350720 cubed (3453133507203) is 41175616364388796483966922293248000
-
The
square root of 345313350720 is 587633.6875299101 -
The
cube root of 345313350720 is 7015.7018323161
Scales and comparisons
How big is 345313350720?- 345,313,350,720 seconds is equal to 10,979 years, 46 weeks, 4 days, 7 hours, 12 minutes.
-
To count from 1 to 345,313,350,720 would take you about twenty-one thousand, nine hundred fifty-nine 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 345313350720 cubic inches would be around 584.6 feet tall.
Recreational maths with 345313350720
- 345313350720 backwards is 027053313543
- 345313350720 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 345313350720's digits is 36
- More coming soon!
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"Number 345313350720 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 345313350720 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/345313350720/
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The information we have on file for 345313350720 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 345313350720, math, Factors of 345313350720, curriculum, school, college, exams, university, Prime factorization of 345313350720, STEM, science, technology, engineering, physics, economics, calculator, three hundred forty-five billion, three hundred thirteen million, three hundred fifty thousand, seven hundred twenty.