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102044157678414 = 23271300962254921
BaseRepresentation
bin10111001100111100000001…
…110001010001001101001110
3111101022022210210121212022200
4113030330001301101031032
5101333342413331202124
61001010234444022330
730331306232544450
oct2714740161211516
9441268723555280
10102044157678414
112a5727587a6366
12b540a11b319a6
1344c2951c3b0c3
141b2ad6c10a2d0
15bbe6092a3bc9
hex5ccf01c5134e

102044157678414 has 48 divisors (see below), whose sum is σ = 252700198988640. Its totient is φ = 29153231976960.

The previous prime is 102044157678413. The next prime is 102044157678427. The reversal of 102044157678414 is 414876751440201.

102044157678414 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 4 + 157 + 6 + 78 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102044157678413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29488327 + ... + 32766594.

It is an arithmetic number, because the mean of its divisors is an integer number (5264587478930).

Almost surely, 2102044157678414 is an apocalyptic number.

102044157678414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102044157678414 is an abundant number, since it is smaller than the sum of its proper divisors (150656041310226).

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

102044157678414 is a wasteful number, since it uses less digits than its factorization.

102044157678414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62267945 (or 62267942 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 102044157678414 in words is "one hundred two trillion, forty-four billion, one hundred fifty-seven million, six hundred seventy-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 13009 26018 39027 78054 91063 117081 182126 234162 273189 546378 819567 1639134 62254921 124509842 186764763 373529526 435784447 560294289 871568894 1120588578 1307353341 2614706682 3922060023 7844120046 809874267289 1619748534578 2429622801867 4859245603734 5669119871023 7288868405601 11338239742046 14577736811202 17007359613069 34014719226138 51022078839207 102044157678414