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422321342112 = 25321466393549
BaseRepresentation
bin1100010010101000101…
…00000100011010100000
31111101002022010000222100
412021110110010122200
523404403230421422
6522002312010400
742340342115115
oct6112424043240
91441068100870
10422321342112
1115311842a07a
1269a22690a00
1330a94c21397
14166248b090c
15aebb34e7ac
hex62545046a0

422321342112 has 36 divisors (see below), whose sum is σ = 1200976317450. Its totient is φ = 140773780608.

The previous prime is 422321342081. The next prime is 422321342141. The reversal of 422321342112 is 211243123224.

422321342112 is a `hidden beast` number, since 4 + 2 + 23 + 213 + 421 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 327188576016 + 95132766096 = 572004^2 + 308436^2 .

It is a tau number, because it is divible by the number of its divisors (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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 733196487 + ... + 733197062.

Almost surely, 2422321342112 is an apocalyptic number.

It is an amenable number.

422321342112 is an abundant number, since it is smaller than the sum of its proper divisors (778654975338).

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

422321342112 is a wasteful number, since it uses less digits than its factorization.

422321342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466393565 (or 1466393554 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 422321342112 its reverse (211243123224), we get a palindrome (633564465336).

The spelling of 422321342112 in words is "four hundred twenty-two billion, three hundred twenty-one million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1466393549 2932787098 4399180647 5865574196 8798361294 11731148392 13197541941 17596722588 23462296784 26395083882 35193445176 46924593568 52790167764 70386890352 105580335528 140773780704 211160671056 422321342112