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421223242322124 = 22321123710632458609
BaseRepresentation
bin101111111000110011010110…
…1101110101101000011001100
32001020102112210222222000211100
41133301212231232231003030
5420202310200013301444
64051511141445223100
7154503242422103334
oct13761465556550314
92036375728860740
10421223242322124
1111223a857029400
123b2aba77701a90
13151062484603c8
147603456b5a0c4
1533a6eb33c8e69
hex17f19adbad0cc

421223242322124 has 216 divisors, whose sum is σ = 1203117105750560. Its totient is φ = 124076701393920.

The previous prime is 421223242322063. The next prime is 421223242322131.

It is a happy number.

421223242322124 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 2 + 3 + 2 + 423 + 221 + 2 + 4 = 666.

421223242322124 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170096532 + ... + 172555140.

Almost surely, 2421223242322124 is an apocalyptic number.

421223242322124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421223242322124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601558552875280).

421223242322124 is an abundant number, since it is smaller than the sum of its proper divisors (781893863428436).

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

421223242322124 is a wasteful number, since it uses less digits than its factorization.

421223242322124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459741 (or 2459725 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 421223242322124 in words is "four hundred twenty-one trillion, two hundred twenty-three billion, two hundred forty-two million, three hundred twenty-two thousand, one hundred twenty-four".