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132444312234320 = 2455331236866093
BaseRepresentation
bin11110000111010100011000…
…001011101110100101010000
3122100221112220211201020122102
4132013110120023232211100
5114324431422412444240
61145404024352055532
736616533344661212
oct3607243013564520
9570845824636572
10132444312234320
1139223354492969
1212a307182345a8
1358b95a2a21188
14249c4a5dac5b2
15104a2a9305815
hex7875182ee950

132444312234320 has 40 divisors (see below), whose sum is σ = 313743083048136. Its totient is φ = 51978145177088.

The previous prime is 132444312234281. The next prime is 132444312234323. The reversal of 132444312234320 is 23432213444231.

It can be written as a sum of positive squares in 4 ways, for example, as 22973960989456 + 109470351244864 = 4793116^2 + 10462808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132444312234323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15618428807 + ... + 15618437286.

Almost surely, 2132444312234320 is an apocalyptic number.

132444312234320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132444312234320 is an abundant number, since it is smaller than the sum of its proper divisors (181298770813816).

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

132444312234320 is a wasteful number, since it uses less digits than its factorization.

132444312234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31236866159 (or 31236866153 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 132444312234320 its reverse (23432213444231), we get a palindrome (155876525678551).

The spelling of 132444312234320 in words is "one hundred thirty-two trillion, four hundred forty-four billion, three hundred twelve million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 31236866093 62473732186 124947464372 156184330465 249894928744 312368660930 499789857488 624737321860 1249474643720 1655553902929 2498949287440 3311107805858 6622215611716 8277769514645 13244431223432 16555539029290 26488862446864 33111078058580 66222156117160 132444312234320