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104515256142 = 232112412190269
BaseRepresentation
bin110000101010110011…
…0000011111101001110
3100222202211220010020200
41201111212003331032
53203021401144032
6120002540354330
710356662006403
oct1412546037516
9328684803220
10104515256142
1140363156950
1218309b459a6
139b180c833b
1450b69bc2aa
152aba83d47c
hex1855983f4e

104515256142 has 48 divisors (see below), whose sum is σ = 248061219120. Its totient is φ = 31539859200.

The previous prime is 104515256141. The next prime is 104515256147. The reversal of 104515256142 is 241652515401.

104515256142 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 1 + 52 + 561 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104515256097 and 104515256106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104515256141) 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 23 ways as a sum of consecutive naturals, for example, 1047417 + ... + 1142852.

It is an arithmetic number, because the mean of its divisors is an integer number (5167942065).

Almost surely, 2104515256142 is an apocalyptic number.

104515256142 is an abundant number, since it is smaller than the sum of its proper divisors (143545962978).

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

104515256142 is a wasteful number, since it uses less digits than its factorization.

104515256142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190529 (or 2190526 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 104515256142 in words is "one hundred four billion, five hundred fifteen million, two hundred fifty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 241 482 723 1446 2169 2651 4338 5302 7953 15906 23859 47718 2190269 4380538 6570807 13141614 19712421 24092959 39424842 48185918 72278877 144557754 216836631 433673262 527854829 1055709658 1583564487 3167128974 4750693461 5806403119 9501386922 11612806238 17419209357 34838418714 52257628071 104515256142