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13332432141324 = 2233294256842957
BaseRepresentation
bin1100001000000011001011…
…1000011011110000001100
31202012120100010020001002000
43002000302320123300030
53221414310112010244
644204500151032300
72544144045233652
oct302006270336014
952176303201060
1013332432141324
11428028640587a
1215b3ab866b690
13759320a0c59a
143414165dadd2
15181c19244169
hexc2032e1bc0c

13332432141324 has 48 divisors (see below), whose sum is σ = 35757480847200. Its totient is φ = 4290897699648.

The previous prime is 13332432141319. The next prime is 13332432141359. The reversal of 13332432141324 is 42314123423331.

13332432141324 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 4 + 321 + 4 + 1 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2128418347 + ... + 2128424610.

It is an arithmetic number, because the mean of its divisors is an integer number (744947517650).

Almost surely, 213332432141324 is an apocalyptic number.

It is an amenable number.

13332432141324 is an abundant number, since it is smaller than the sum of its proper divisors (22425048705876).

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

13332432141324 is a wasteful number, since it uses less digits than its factorization.

13332432141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256842999 (or 4256842991 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 13332432141324 its reverse (42314123423331), we get a palindrome (55646555564655).

The spelling of 13332432141324 in words is "thirteen trillion, three hundred thirty-two billion, four hundred thirty-two million, one hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 4256842957 8513685914 12770528871 17027371828 25541057742 38311586613 51082115484 76623173226 114934759839 123448445753 153246346452 229869519678 246896891506 370345337259 459739039356 493793783012 740690674518 1111036011777 1481381349036 2222072023554 3333108035331 4444144047108 6666216070662 13332432141324