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102404420304 = 24311329696359
BaseRepresentation
bin101111101011111000…
…1110111001011010000
3100210022201222112211120
41133113301313023100
53134211012422204
6115013254042240
710253451132144
oct1372761671320
9323281875746
10102404420304
113a47a69771a
1217a1b049380
13986c9b5354
144d56511224
1529e53856d9
hex17d7c772d0

102404420304 has 80 divisors (see below), whose sum is σ = 267017731200. Its totient is φ = 33816014848.

The previous prime is 102404420297. The next prime is 102404420311. The reversal of 102404420304 is 403024404201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102404420297) and next prime (102404420311).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16100677 + ... + 16107035.

It is an arithmetic number, because the mean of its divisors is an integer number (3337721640).

Almost surely, 2102404420304 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 102404420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133508865600).

102404420304 is an abundant number, since it is smaller than the sum of its proper divisors (164613310896).

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

102404420304 is a wasteful number, since it uses less digits than its factorization.

102404420304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9452 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102404420304 its reverse (403024404201), we get a palindrome (505428824505).

The spelling of 102404420304 in words is "one hundred two billion, four hundred four million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 2969 5424 5938 6359 8907 11876 12718 17814 19077 23752 25436 35628 38154 47504 50872 71256 76308 101744 142512 152616 305232 335497 670994 718567 1006491 1341988 1437134 2012982 2155701 2683976 2874268 4025964 4311402 5367952 5748536 8051928 8622804 11497072 16103856 17245608 18879871 34491216 37759742 56639613 75519484 113279226 151038968 226558452 302077936 453116904 906233808 2133425423 4266850846 6400276269 8533701692 12800552538 17067403384 25601105076 34134806768 51202210152 102404420304