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42420474720 = 25325134015651
BaseRepresentation
bin100111100000011101…
…010001001101100000
311001111100121101121100
4213200131101031200
51143334120142340
631253201554400
73031135041261
oct474035211540
9131440541540
1042420474720
1116a99285578
12827a645a00
134000689720
1420a5c3a968
151184254830
hex9e0751360

42420474720 has 288 divisors, whose sum is σ = 156311666784. Its totient is φ = 10414080000.

The previous prime is 42420474713. The next prime is 42420474727. The reversal of 42420474720 is 2747402424.

42420474720 is a `hidden beast` number, since 424 + 204 + 7 + 4 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (42420474713) and next prime (42420474727).

It is a tau number, because it is divible by the number of its divisors (288).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42420474727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7503895 + ... + 7509545.

It is an arithmetic number, because the mean of its divisors is an integer number (542748843).

Almost surely, 242420474720 is an apocalyptic number.

42420474720 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 42420474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78155833392).

42420474720 is an abundant number, since it is smaller than the sum of its proper divisors (113891192064).

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

42420474720 is a wasteful number, since it uses less digits than its factorization.

42420474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The spelling of 42420474720 in words is "forty-two billion, four hundred twenty million, four hundred seventy-four thousand, seven hundred twenty".