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423449226144 = 2536719136481
BaseRepresentation
bin1100010100101111000…
…10100110101110100000
31111110222220102111000000
412022113202212232200
523414211000214034
6522310242300000
742410316014550
oct6122742465640
91443886374000
10423449226144
1115364705a03a
126a098357600
1330c147b5b99
14166d05cb160
15b035392599
hex62978a6ba0

423449226144 has 336 divisors, whose sum is σ = 1503682246080. Its totient is φ = 114616995840.

The previous prime is 423449226139. The next prime is 423449226157. The reversal of 423449226144 is 441622944324.

It is a happy number.

423449226144 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 4 + 9 + 22 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 423449226144.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3034384 + ... + 3170864.

It is an arithmetic number, because the mean of its divisors is an integer number (4475244780).

Almost surely, 2423449226144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423449226144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751841123040).

423449226144 is an abundant number, since it is smaller than the sum of its proper divisors (1080233019936).

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

423449226144 is a wasteful number, since it uses less digits than its factorization.

423449226144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136535 (or 136512 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 423449226144 in words is "four hundred twenty-three billion, four hundred forty-nine million, two hundred twenty-six thousand, one hundred forty-four".