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102458440304 = 24117128129179
BaseRepresentation
bin101111101101011111…
…1111011101001110000
3100210110111122001100022
41133122333323221300
53134313330042204
6115022503543012
710255005241643
oct1373277735160
9323414561308
10102458440304
113a4a8133750
1217a3515aa68
13987ac4a44c
144d5d773a5a
1529e9ea65be
hex17daffba70

102458440304 has 80 divisors (see below), whose sum is σ = 220399107840. Its totient is φ = 45751104000.

The previous prime is 102458440297. The next prime is 102458440327. The reversal of 102458440304 is 403044854201.

It is a happy number.

It is a super-2 number, since 2×1024584403042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3496787 + ... + 3525965.

It is an arithmetic number, because the mean of its divisors is an integer number (2754988848).

Almost surely, 2102458440304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102458440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110199553920).

102458440304 is an abundant number, since it is smaller than the sum of its proper divisors (117940667536).

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

102458440304 is a wasteful number, since it uses less digits than its factorization.

102458440304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29550 (or 29544 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 102458440304 in words is "one hundred two billion, four hundred fifty-eight million, four hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 281 284 562 568 781 1124 1136 1562 2248 3091 3124 4496 6182 6248 12364 12496 19951 24728 29179 39902 49456 58358 79804 116716 159608 219461 233432 319216 320969 438922 466864 641938 877844 1283876 1755688 2071709 2567752 3511376 4143418 5135504 8199299 8286836 16398598 16573672 22788799 32797196 33147344 45577598 65594392 90192289 91155196 131188784 180384578 182310392 360769156 364620784 582150229 721538312 1164300458 1443076624 2328600916 4657201832 6403652519 9314403664 12807305038 25614610076 51229220152 102458440304