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14372314520 = 2352389191919
BaseRepresentation
bin11010110001010100…
…00001110110011000
31101002122001020002012
431120222001312120
5213413303031040
610334052325052
71016105441414
oct153052016630
941078036065
1014372314520
116105884693
122951313788
1314807a8b25
149a4b11d44
15591b78865
hex358a81d98

14372314520 has 128 divisors (see below), whose sum is σ = 34338816000. Its totient is φ = 5402833920.

The previous prime is 14372314513. The next prime is 14372314529. The reversal of 14372314520 is 2541327341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14372314529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15638621 + ... + 15639539.

It is an arithmetic number, because the mean of its divisors is an integer number (268272000).

Almost surely, 214372314520 is an apocalyptic number.

14372314520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14372314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169408000).

14372314520 is an abundant number, since it is smaller than the sum of its proper divisors (19966501480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14372314520 is a wasteful number, since it uses less digits than its factorization.

14372314520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 14372314520 in words is "fourteen billion, three hundred seventy-two million, three hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 178 184 191 230 356 382 445 460 712 764 890 919 920 955 1528 1780 1838 1910 2047 3560 3676 3820 4094 4393 4595 7352 7640 8188 8786 9190 10235 16376 16999 17572 18380 20470 21137 21965 33998 35144 36760 40940 42274 43930 67996 81791 81880 84548 84995 87860 105685 135992 163582 169096 169990 175529 175720 211370 327164 339980 351058 390977 408955 422740 654328 679960 702116 781954 817910 845480 877645 1404232 1563908 1635820 1755290 1881193 1954885 3127816 3271640 3510580 3762386 3909770 4037167 7021160 7524772 7819540 8074334 9405965 15049544 15622081 15639080 16148668 18811930 20185835 31244162 32297336 37623860 40371670 62488324 75247720 78110405 80743340 124976648 156220810 161486680 312441620 359307863 624883240 718615726 1437231452 1796539315 2874462904 3593078630 7186157260 14372314520