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123114081936 = 2438330902129
BaseRepresentation
bin111001010101000101…
…0111100111010010000
3102202210000212100211110
41302222022330322100
54004114201110221
6132320254013320
711615611300326
oct1625212747220
9382700770743
10123114081936
1148237764a5a
121ba3a7a7240
13b7c0402bc1
145d5cb67d16
153308581776
hex1caa2bce90

123114081936 has 40 divisors (see below), whose sum is σ = 321876586080. Its totient is φ = 40543591936.

The previous prime is 123114081919. The next prime is 123114081941. The reversal of 123114081936 is 639180411321.

It is a junction number, because it is equal to n+sod(n) for n = 123114081894 and 123114081903.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15447081 + ... + 15455048.

It is an arithmetic number, because the mean of its divisors is an integer number (8046914652).

Almost surely, 2123114081936 is an apocalyptic number.

123114081936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123114081936 is an abundant number, since it is smaller than the sum of its proper divisors (198762504144).

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

123114081936 is a wasteful number, since it uses less digits than its factorization.

123114081936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30902223 (or 30902217 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 123114081936 in words is "one hundred twenty-three billion, one hundred fourteen million, eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 30902129 61804258 92706387 123608516 185412774 247217032 370825548 494434064 741651096 1483302192 2564876707 5129753414 7694630121 10259506828 15389260242 20519013656 30778520484 41038027312 61557040968 123114081936