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4231416141324 = 2232117539337259
BaseRepresentation
bin111101100100110100000…
…011100101011000001100
3112222112000122222201111100
4331210310003211120030
51023311420013010244
612555515153023100
7614465302516641
oct75446403453014
915875018881440
104231416141324
11139159610a829
125840b0854a90
132490369c0438
14108b3197ddc8
157510753ab69
hex3d9340e560c

4231416141324 has 18 divisors (see below), whose sum is σ = 10696079690660. Its totient is φ = 1410472047096.

The previous prime is 4231416141313. The next prime is 4231416141367.

It is a happy number.

4231416141324 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 4 + 1 + 614 + 1 + 32 + 4 = 666.

4231416141324 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×42314161413242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 117539337259 = 4231416141324 / (4 + 2 + 3 + 1 + 4 + 1 + 6 + 1 + 4 + 1 + 3 + 2 + 4).

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 (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58769668594 + ... + 58769668665.

Almost surely, 24231416141324 is an apocalyptic number.

It is an amenable number.

4231416141324 is an abundant number, since it is smaller than the sum of its proper divisors (6464663549336).

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

4231416141324 is a wasteful number, since it uses less digits than its factorization.

4231416141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117539337269 (or 117539337264 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 4231416141324 in words is "four trillion, two hundred thirty-one billion, four hundred sixteen million, one hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 117539337259 235078674518 352618011777 470157349036 705236023554 1057854035331 1410472047108 2115708070662 4231416141324