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42383229140 = 22572293173659
BaseRepresentation
bin100111011110001111…
…001100000011010100
311001101202112010021102
4213132033030003110
51143300101313030
631245351405232
73030203334500
oct473617140324
9131352463242
1042383229140
1116a7a2563aa
12826a083818
133cc5a48815
1420a0d03300
151180d48c45
hex9de3cc0d4

42383229140 has 288 divisors, whose sum is σ = 112246041600. Its totient is φ = 13371402240.

The previous prime is 42383229137. The next prime is 42383229167. The reversal of 42383229140 is 4192238324.

It is a happy number.

42383229140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423832291402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42383229094 and 42383229103.

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, 64314131 + ... + 64314789.

It is an arithmetic number, because the mean of its divisors is an integer number (389743200).

Almost surely, 242383229140 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 42383229140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56123020800).

42383229140 is an abundant number, since it is smaller than the sum of its proper divisors (69862812460).

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

42383229140 is a wasteful number, since it uses less digits than its factorization.

42383229140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 42383229140 in words is "forty-two billion, three hundred eighty-three million, two hundred twenty-nine thousand, one hundred forty".