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104142162740 = 2257211192989197
BaseRepresentation
bin110000011111101011…
…0110100101100110100
3100221210211212000022112
41200333112310230310
53201240343201430
6115501531550152
710344511530500
oct1407726645464
9327724760275
10104142162740
11401915992a0
1218224bbb358
139a88a17a05
14507d21d300
152a97be2195
hex183f5b4b34

104142162740 has 576 divisors, whose sum is σ = 307159776000. Its totient is φ = 29208453120.

The previous prime is 104142162703. The next prime is 104142162743. The reversal of 104142162740 is 47261241401.

It is a junction number, because it is equal to n+sod(n) for n = 104142162697 and 104142162706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104142162743) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 528640322 + ... + 528640518.

It is an arithmetic number, because the mean of its divisors is an integer number (533263500).

Almost surely, 2104142162740 is an apocalyptic number.

104142162740 is a gapful number since it is divisible by the number (10) 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 104142162740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153579888000).

104142162740 is an abundant number, since it is smaller than the sum of its proper divisors (203017613260).

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

104142162740 is a wasteful number, since it uses less digits than its factorization.

104142162740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 104142162740 in words is "one hundred four billion, one hundred forty-two million, one hundred sixty-two thousand, seven hundred forty".