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421412242214124 = 223271672270802437
BaseRepresentation
bin101111111010001011010111…
…1000000000100110011101100
32001021002121122201121022221100
41133310112233000010303230
5420213404233001322444
64052134040025003100
7154523013132504540
oct13764265700046354
92037077581538840
10421412242214124
11112302a23598657
123b320623323490
131511b008817a25
14760c665d3da20
1533abd75c8be69
hex17f45af004cec

421412242214124 has 36 divisors (see below), whose sum is σ = 1217413144174864. Its totient is φ = 120403497775392.

The previous prime is 421412242214087. The next prime is 421412242214129.

421412242214124 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 12 + 2 + 4 + 221 + 412 + 4 = 666.

421412242214124 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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 not an unprimeable number, because it can be changed into a prime (421412242214129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 836135400967 + ... + 836135401470.

Almost surely, 2421412242214124 is an apocalyptic number.

It is an amenable number.

421412242214124 is an abundant number, since it is smaller than the sum of its proper divisors (796000901960740).

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

421412242214124 is a wasteful number, since it uses less digits than its factorization.

421412242214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672270802454 (or 1672270802449 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 421412242214124 in words is "four hundred twenty-one trillion, four hundred twelve billion, two hundred forty-two million, two hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1672270802437 3344541604874 5016812407311 6689083209748 10033624814622 11705895617059 15050437221933 20067249629244 23411791234118 30100874443866 35117686851177 46823582468236 60201748887732 70235373702354 105353060553531 140470747404708 210706121107062 421412242214124