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14212424431332 = 22321492833935261
BaseRepresentation
bin1100111011010001011010…
…0000100111011011100100
31212022200202021222010221100
43032310112200213123210
53330324021123300312
650121033031520100
72664546061256331
oct316642640473344
955280667863840
1014212424431332
11458a50108aa56
121716568229030
137c12c232162a
14371c56691988
15199a6eed05dc
hexced168276e4

14212424431332 has 72 divisors (see below), whose sum is σ = 36179768734200. Its totient is φ = 4704013624320.

The previous prime is 14212424431313. The next prime is 14212424431357. The reversal of 14212424431332 is 23313442421241.

14212424431332 is a `hidden beast` number, since 1 + 4 + 212 + 4 + 2 + 4 + 431 + 3 + 3 + 2 = 666.

14212424431332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1448710733376 + 12763713697956 = 1203624^2 + 3572634^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14728582 + ... + 15663842.

It is an arithmetic number, because the mean of its divisors is an integer number (502496787975).

Almost surely, 214212424431332 is an apocalyptic number.

14212424431332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14212424431332 is an abundant number, since it is smaller than the sum of its proper divisors (21967344302868).

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

14212424431332 is a wasteful number, since it uses less digits than its factorization.

14212424431332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938253 (or 938248 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 14212424431332 its reverse (23313442421241), we get a palindrome (37525866852573).

The spelling of 14212424431332 in words is "fourteen trillion, two hundred twelve billion, four hundred twenty-four million, four hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 2833 5364 5666 8499 11332 16998 25497 33996 50994 101988 422117 844234 935261 1266351 1688468 1870522 2532702 2805783 3741044 3799053 5065404 5611566 7598106 8417349 11223132 15196212 16834698 33669396 139353889 278707778 418061667 557415556 836123334 1254185001 1672246668 2508370002 2649594413 5016740004 5299188826 7948783239 10598377652 15897566478 23846349717 31795132956 47692699434 95385398868 394789567537 789579135074 1184368702611 1579158270148 2368737405222 3553106107833 4737474810444 7106212215666 14212424431332