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13312524414 = 2372989227541
BaseRepresentation
bin11000110010111110…
…10000000001111110
31021100202212022100210
430121133100001332
5204231001240124
610040553333250
7650616406350
oct143137200176
937322768323
1013312524414
1157116336a2
1226b6407226
1313420663a7
1490407d0d0
1552dad6a29
hex3197d007e

13312524414 has 128 divisors (see below), whose sum is σ = 32030899200. Its totient is φ = 3608478720.

The previous prime is 13312524391. The next prime is 13312524419. The reversal of 13312524414 is 41442521331.

13312524414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312524419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24606984 + ... + 24607524.

It is an arithmetic number, because the mean of its divisors is an integer number (250241400).

Almost surely, 213312524414 is an apocalyptic number.

13312524414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312524414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015449600).

13312524414 is an abundant number, since it is smaller than the sum of its proper divisors (18718374786).

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

13312524414 is a wasteful number, since it uses less digits than its factorization.

13312524414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898.

The product of its digits is 11520, while the sum is 30.

The spelling of 13312524414 in words is "thirteen billion, three hundred twelve million, five hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 89 174 178 203 227 267 406 454 534 541 609 623 681 1082 1218 1246 1362 1589 1623 1869 2581 3178 3246 3738 3787 4767 5162 6583 7574 7743 9534 11361 13166 15486 15689 18067 19749 20203 22722 31378 36134 39498 40406 46081 47067 48149 54201 60609 92162 94134 96298 108402 109823 121218 122807 138243 141421 144447 219646 245614 276486 282842 288894 329469 337043 368421 424263 585887 658938 674086 736842 848526 859649 1011129 1171774 1396321 1719298 1757661 2022258 2578947 2792642 3515322 3561403 4101209 4188963 5157894 7122806 8202418 8377926 9774247 10684209 10929823 12303627 19548494 21368418 21859646 24607254 24929821 29322741 32789469 49859642 58645482 65578938 74789463 76508761 149578926 153017522 229526283 316964867 459052566 633929734 950894601 1901789202 2218754069 4437508138 6656262207 13312524414