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34132142232 = 233423299571
BaseRepresentation
bin11111110010011011…
…110010100010011000
310021002201122110220000
4133302123302202120
51024400312022412
623402522133000
72315553264516
oct376233624230
9107081573800
1034132142232
1113525782711
126746951160
1332ac4a2386
14191b1594b6
15d4b7a24dc
hex7f26f2898

34132142232 has 120 divisors (see below), whose sum is σ = 99939918540. Its totient is φ = 10882602720.

The previous prime is 34132142221. The next prime is 34132142287. The reversal of 34132142232 is 23224123143.

34132142232 is a `hidden beast` number, since 3 + 413 + 2 + 14 + 2 + 232 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 34132142196 and 34132142205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 293007 + ... + 392577.

Almost surely, 234132142232 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 34132142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49969959270).

34132142232 is an abundant number, since it is smaller than the sum of its proper divisors (65807776308).

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

34132142232 is a wasteful number, since it uses less digits than its factorization.

34132142232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99635 (or 99599 counting only the distinct ones).

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

Adding to 34132142232 its reverse (23224123143), we get a palindrome (57356265375).

The spelling of 34132142232 in words is "thirty-four billion, one hundred thirty-two million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 529 552 621 648 828 1058 1242 1587 1656 1863 2116 2484 3174 3726 4232 4761 4968 6348 7452 9522 12696 14283 14904 19044 28566 38088 42849 57132 85698 99571 114264 171396 199142 298713 342792 398284 597426 796568 896139 1194852 1792278 2290133 2389704 2688417 3584556 4580266 5376834 6870399 7169112 8065251 9160532 10753668 13740798 16130502 18321064 20611197 21507336 27481596 32261004 41222394 52673059 54963192 61833591 64522008 82444788 105346118 123667182 158019177 164889576 185500773 210692236 247334364 316038354 371001546 421384472 474057531 494668728 632076708 742003092 948115062 1264153416 1422172593 1484006184 1896230124 2844345186 3792460248 4266517779 5688690372 8533035558 11377380744 17066071116 34132142232