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38236340142 = 238711134171
BaseRepresentation
bin100011100111000100…
…000011111110101110
310122200202102100000000
4203213010003332232
51111302000341032
625322053245130
72522350346220
oct434704037656
9118622370000
1038236340142
1115241465310
1274b13337a6
1337b4877250
141bca274410
15edbc5ae7c
hex8e7103fae

38236340142 has 576 divisors, whose sum is σ = 119989029888. Its totient is φ = 8817984000.

The previous prime is 38236340119. The next prime is 38236340147. The reversal of 38236340142 is 24104363283.

38236340142 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 634 + 0 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38236340097 and 38236340106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38236340147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 538539967 + ... + 538540037.

It is an arithmetic number, because the mean of its divisors is an integer number (208314288).

Almost surely, 238236340142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38236340142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59994514944).

38236340142 is an abundant number, since it is smaller than the sum of its proper divisors (81752689746).

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

38236340142 is a wasteful number, since it uses less digits than its factorization.

38236340142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 38236340142 in words is "thirty-eight billion, two hundred thirty-six million, three hundred forty thousand, one hundred forty-two".