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132032331444 = 2231317192620313
BaseRepresentation
bin111101011110110111…
…1010111111010110100
3110121210120010101020210
41322331233113322310
54130400234101234
6140353235025420
712352612204626
oct1727557277264
9417716111223
10132032331444
1150aa38998a2
122170943b270
13c5b1c5c110
14656737cc16
15367b4b0be9
hex1ebdbd7eb4

132032331444 has 96 divisors (see below), whose sum is σ = 369778711680. Its totient is φ = 36223193088.

The previous prime is 132032331419. The next prime is 132032331523. The reversal of 132032331444 is 444133230231.

It is a happy number.

It is a super-2 number, since 2×1320323314442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259769 + ... + 1360544.

It is an arithmetic number, because the mean of its divisors is an integer number (3851861580).

Almost surely, 2132032331444 is an apocalyptic number.

It is an amenable number.

132032331444 is an abundant number, since it is smaller than the sum of its proper divisors (237746380236).

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

132032331444 is a wasteful number, since it uses less digits than its factorization.

132032331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620369 (or 2620367 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 132032331444 its reverse (444133230231), we get a palindrome (576165561675).

The spelling of 132032331444 in words is "one hundred thirty-two billion, thirty-two million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 323 442 494 646 663 741 884 969 988 1292 1326 1482 1938 2652 2964 3876 4199 8398 12597 16796 25194 50388 2620313 5240626 7860939 10481252 15721878 31443756 34064069 44545321 49785947 68128138 89090642 99571894 102192207 133635963 136256276 149357841 178181284 199143788 204384414 267271926 298715682 408768828 534543852 579089173 597431364 647217311 846361099 1158178346 1294434622 1692722198 1737267519 1941651933 2316356692 2539083297 2588869244 3385444396 3474535038 3883303866 5078166594 6949070076 7766607732 10156333188 11002694287 22005388574 33008082861 44010777148 66016165722 132032331444