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41214164364 = 2234127204211
BaseRepresentation
bin100110011000100011…
…100011110110001100
310221101021201110220000
4212120203203312030
51133401311224424
630533350324300
72656216421412
oct463043436614
9127337643800
1041214164364
111652a35976a
127ba2659690
133b6a795c09
141dcd9472b2
1511133be3c9
hex9988e3d8c

41214164364 has 30 divisors (see below), whose sum is σ = 107741967564. Its totient is φ = 13738054680.

The previous prime is 41214164359. The next prime is 41214164371. The reversal of 41214164364 is 46346141214.

41214164364 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 4 + 1 + 643 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 9 ways as a sum of consecutive naturals, for example, 63601782 + ... + 63602429.

Almost surely, 241214164364 is an apocalyptic number.

It is an amenable number.

41214164364 is an abundant number, since it is smaller than the sum of its proper divisors (66527803200).

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

41214164364 is a wasteful number, since it uses less digits than its factorization.

41214164364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127204227 (or 127204216 counting only the distinct ones).

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

The spelling of 41214164364 in words is "forty-one billion, two hundred fourteen million, one hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 127204211 254408422 381612633 508816844 763225266 1144837899 1526450532 2289675798 3434513697 4579351596 6869027394 10303541091 13738054788 20607082182 41214164364