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42308072352 = 253272131032239
BaseRepresentation
bin100111011001110000…
…011111001110100000
311001012112002202112200
4213121300133032200
51143121331303402
631234104453200
73025301452500
oct473160371640
9131175082480
1042308072352
1116a40892a57
128248a7a200
133cb32c2a50
142094d3ba00
15117945021c
hex9d9c1f3a0

42308072352 has 432 divisors, whose sum is σ = 152253803520. Its totient is φ = 11044905984.

The previous prime is 42308072347. The next prime is 42308072357. The reversal of 42308072352 is 25327080324.

42308072352 is a `hidden beast` number, since 4 + 230 + 8 + 0 + 72 + 352 = 666.

42308072352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42308072347) and next prime (42308072357).

It is a super-2 number, since 2×423080723522 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (42308072357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18894849 + ... + 18897087.

It is an arithmetic number, because the mean of its divisors is an integer number (352439360).

Almost surely, 242308072352 is an apocalyptic number.

42308072352 is a gapful number since it is divisible by the number (42) 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 42308072352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76126901760).

42308072352 is an abundant number, since it is smaller than the sum of its proper divisors (109945731168).

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

42308072352 is a wasteful number, since it uses less digits than its factorization.

42308072352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42308072352 in words is "forty-two billion, three hundred eight million, seventy-two thousand, three hundred fifty-two".