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14308884144 = 24332573592
BaseRepresentation
bin11010101001110000…
…00011111010110000
31100221012200121222000
431110320003322300
5213301033243034
610323505014000
71014405336252
oct152470037260
940835617860
1014308884144
116082aa0495
122934024300
1314705ca669
1499a51dcd2
1558b2e9599
hex354e03eb0

14308884144 has 120 divisors (see below), whose sum is σ = 41346780720. Its totient is φ = 4737835008.

The previous prime is 14308884143. The next prime is 14308884169. The reversal of 14308884144 is 44148880341.

It is a super-2 number, since 2×143088841442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14308884144.

It is not an unprimeable number, because it can be changed into a prime (14308884143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39857437 + ... + 39857795.

It is an arithmetic number, because the mean of its divisors is an integer number (344556506).

Almost surely, 214308884144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14308884144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20673390360).

14308884144 is an abundant number, since it is smaller than the sum of its proper divisors (27037896576).

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

14308884144 is an equidigital number, since it uses as much as digits as its factorization.

14308884144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 14308884144 in words is "fourteen billion, three hundred eight million, eight hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 257 359 432 514 718 771 1028 1077 1436 1542 2056 2154 2313 2872 3084 3231 4112 4308 4626 5744 6168 6462 6939 8616 9252 9693 12336 12924 13878 17232 18504 19386 25848 27756 37008 38772 51696 55512 77544 92263 111024 128881 155088 184526 257762 276789 369052 386643 515524 553578 738104 773286 830367 1031048 1107156 1159929 1476208 1546572 1660734 2062096 2214312 2319858 2491101 3093144 3321468 3479787 4428624 4639716 4982202 6186288 6642936 6959574 9279432 9964404 13285872 13919148 18558864 19928808 27838296 33122417 39857616 55676592 66244834 99367251 132489668 198734502 264979336 298101753 397469004 529958672 596203506 794938008 894305259 1192407012 1589876016 1788610518 2384814024 3577221036 4769628048 7154442072 14308884144