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34112432043 = 3327137912301
BaseRepresentation
bin11111110001010000…
…100110011110101011
310021001100120002121000
4133301100212132223
51024330240311133
623400535450043
72315223613434
oct376120463653
9107040502530
1034112432043
11135156400a8
126740226923
1332a8390b41
1419186a848b
15d49bac413
hex7f14267ab

34112432043 has 32 divisors (see below), whose sum is σ = 50861388800. Its totient is φ = 22596084000.

The previous prime is 34112432041. The next prime is 34112432087. The reversal of 34112432043 is 34023421143.

34112432043 is a `hidden beast` number, since 3 + 411 + 2 + 43 + 204 + 3 = 666.

It is not a de Polignac number, because 34112432043 - 21 = 34112432041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34112431998 and 34112432016.

It is not an unprimeable number, because it can be changed into a prime (34112432041) 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, 2766993 + ... + 2779293.

It is an arithmetic number, because the mean of its divisors is an integer number (1589418400).

Almost surely, 234112432043 is an apocalyptic number.

34112432043 is a deficient number, since it is larger than the sum of its proper divisors (16748956757).

34112432043 is a wasteful number, since it uses less digits than its factorization.

34112432043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34112432043 its reverse (34023421143), we get a palindrome (68135853186).

The spelling of 34112432043 in words is "thirty-four billion, one hundred twelve million, four hundred thirty-two thousand, forty-three".

Divisors: 1 3 9 27 271 379 813 1137 2439 3411 7317 10233 12301 36903 102709 110709 308127 332127 924381 2773143 3333571 4662079 10000713 13986237 30002139 41958711 90006417 125876133 1263423409 3790270227 11370810681 34112432043