Search a number
-
+
132315554031312 = 2436538142161699
BaseRepresentation
bin11110000101011100011101…
…100110001010011011010000
3122100111020120110102211020210
4132011130131212022123100
5114320324223313000222
61145224532033004120
736604324530213231
oct3605343546123320
9570436513384223
10132315554031312
1139183790878243
1212a0b7833b3640
1358aa3c31b6582
14249616d7d3088
151046c704d6d0c
hex78571d98a6d0

132315554031312 has 40 divisors (see below), whose sum is σ = 341820417405600. Its totient is φ = 44104509043840.

The previous prime is 132315554031257. The next prime is 132315554031347. The reversal of 132315554031312 is 213130455513231.

It is a happy number.

It is a super-2 number, since 2×1323155540313122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17942562 + ... + 24219137.

It is an arithmetic number, because the mean of its divisors is an integer number (8545510435140).

Almost surely, 2132315554031312 is an apocalyptic number.

132315554031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132315554031312 is an abundant number, since it is smaller than the sum of its proper divisors (209504863374288).

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

132315554031312 is a wasteful number, since it uses less digits than its factorization.

132315554031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42227091 (or 42227085 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 132315554031312 in words is "one hundred thirty-two trillion, three hundred fifteen billion, five hundred fifty-four million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 65381 130762 196143 261524 392286 523048 784572 1046096 1569144 3138288 42161699 84323398 126485097 168646796 252970194 337293592 505940388 674587184 1011880776 2023761552 2756574042319 5513148084638 8269722126957 11026296169276 16539444253914 22052592338552 33078888507828 44105184677104 66157777015656 132315554031312