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13354334004 = 223112911872939
BaseRepresentation
bin11000110111111101…
…01111011100110100
31021110200112110100010
430123332233130310
5204322202142004
610045045420220
7651634652244
oct143376573464
937420473303
1013354334004
11573319a880
12270840a670
13134a9147ab
14909843b24
155325e4a89
hex31bfaf734

13354334004 has 96 divisors (see below), whose sum is σ = 35206617600. Its totient is φ = 3902604160.

The previous prime is 13354333997. The next prime is 13354334009. The reversal of 13354334004 is 40043345331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354334009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4542367 + ... + 4545305.

It is an arithmetic number, because the mean of its divisors is an integer number (366735600).

Almost surely, 213354334004 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 13354334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603308800).

13354334004 is an abundant number, since it is smaller than the sum of its proper divisors (21852283596).

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

13354334004 is a wasteful number, since it uses less digits than its factorization.

13354334004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 13354334004 its reverse (40043345331), we get a palindrome (53397679335).

The spelling of 13354334004 in words is "thirteen billion, three hundred fifty-four million, three hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1187 1276 1914 2374 2939 3561 3828 4748 5878 7122 8817 11756 13057 14244 17634 26114 32329 34423 35268 39171 52228 64658 68846 78342 85231 96987 103269 129316 137692 156684 170462 193974 206538 255693 340924 378653 387948 413076 511386 757306 937541 1022772 1135959 1514612 1875082 2271918 2812623 3488593 3750164 4543836 5625246 6977186 10465779 11250492 13954372 20931558 38374523 41863116 76749046 101169197 115123569 153498092 202338394 230247138 303507591 404676788 460494276 607015182 1112861167 1214030364 2225722334 3338583501 4451444668 6677167002 13354334004