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42421470336 = 273571773157
BaseRepresentation
bin100111100000100001…
…000100010010000000
311001111102110222100000
4213200201010102000
51143334344022321
631253235200000
73031146356040
oct474041042200
9131442428300
1042421470336
1116a998a55a3
12827aa46000
13400094794b
1420a6019720
15118439e826
hex9e0844480

42421470336 has 768 divisors, whose sum is σ = 156276207360. Its totient is φ = 11179524096.

The previous prime is 42421470281. The next prime is 42421470383. The reversal of 42421470336 is 63307412424.

42421470336 is a `hidden beast` number, since 4 + 242 + 14 + 70 + 336 = 666.

It is a super-2 number, since 2×424214703362 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42421470336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270200370 + ... + 270200526.

It is an arithmetic number, because the mean of its divisors is an integer number (203484645).

Almost surely, 242421470336 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 42421470336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78138103680).

42421470336 is an abundant number, since it is smaller than the sum of its proper divisors (113854737024).

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

42421470336 is a wasteful number, since it uses less digits than its factorization.

42421470336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 42421470336 in words is "forty-two billion, four hundred twenty-one million, four hundred seventy thousand, three hundred thirty-six".