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104402406304 = 2572934946051
BaseRepresentation
bin110000100111011011…
…1100100101110100000
3100222110222112202101001
41201032313210232200
53202304004000204
6115543425521344
710354121545210
oct1411667445640
9328428482331
10104402406304
1140305489119
12182981a3254
139aca905aa1
1450a5a04240
152ab099b4a4
hex184ede4ba0

104402406304 has 96 divisors (see below), whose sum is σ = 243707184000. Its totient is φ = 43076275200.

The previous prime is 104402406259. The next prime is 104402406307. The reversal of 104402406304 is 403604204401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (104402406307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2244079 + ... + 2290129.

It is an arithmetic number, because the mean of its divisors is an integer number (2538616500).

Almost surely, 2104402406304 is an apocalyptic number.

104402406304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104402406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121853592000).

104402406304 is an abundant number, since it is smaller than the sum of its proper divisors (139304777696).

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

104402406304 is a wasteful number, since it uses less digits than its factorization.

104402406304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46446 (or 46438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 104402406304 in words is "one hundred four billion, four hundred two million, four hundred six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 349 406 464 698 812 928 1396 1624 2443 2792 3248 4886 5584 6496 9772 10121 11168 19544 20242 39088 40484 46051 70847 78176 80968 92102 141694 161936 184204 283388 322357 323872 368408 566776 644714 736816 1133552 1289428 1335479 1473632 2267104 2578856 2670958 5157712 5341916 9348353 10315424 10683832 16071799 18696706 21367664 32143598 37393412 42735328 64287196 74786824 112502593 128574392 149573648 225005186 257148784 299147296 450010372 466082171 514297568 900020744 932164342 1800041488 1864328684 3262575197 3600082976 3728657368 6525150394 7457314736 13050300788 14914629472 26100601576 52201203152 104402406304