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42247342080 = 21132519231049
BaseRepresentation
bin100111010110001000…
…110100100000000000
311001001021211100021100
4213112020310200000
51143010304421310
631224055054400
73023633324346
oct472610644000
9131037740240
1042247342080
1116a0a583449
128230671400
133ca384b588
14208ac4d996
151173e55ec0
hex9d6234800

42247342080 has 576 divisors, whose sum is σ = 160982640000. Its totient is φ = 10199236608.

The previous prime is 42247342069. The next prime is 42247342091. The reversal of 42247342080 is 8024374224.

42247342080 is a `hidden beast` number, since 4 + 224 + 7 + 3 + 420 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42247342069) and next prime (42247342091).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40273396 + ... + 40274444.

It is an arithmetic number, because the mean of its divisors is an integer number (279483750).

Almost surely, 242247342080 is an apocalyptic number.

42247342080 is a gapful number since it is divisible by the number (40) 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 42247342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491320000).

42247342080 is an abundant number, since it is smaller than the sum of its proper divisors (118735297920).

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

42247342080 is a wasteful number, since it uses less digits than its factorization.

42247342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 42247342080 in words is "forty-two billion, two hundred forty-seven million, three hundred forty-two thousand, eighty".