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13314001404 = 223111913738749
BaseRepresentation
bin11000110011001001…
…11000100111111100
31021100212122100102010
430121210320213330
5204231341021104
610041045131220
7650635100424
oct143144704774
937325570363
1013314001404
115712452350
1226b69b9b10
131342462752
14904345484
1552dcc9489
hex3199389fc

13314001404 has 96 divisors (see below), whose sum is σ = 35935200000. Its totient is φ = 3794204160.

The previous prime is 13314001403. The next prime is 13314001409. The reversal of 13314001404 is 40410041331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314001403) 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, 324222 + ... + 362970.

It is an arithmetic number, because the mean of its divisors is an integer number (374325000).

Almost surely, 213314001404 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 13314001404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967600000).

13314001404 is an abundant number, since it is smaller than the sum of its proper divisors (22621198596).

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

13314001404 is a wasteful number, since it uses less digits than its factorization.

13314001404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38923 (or 38921 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13314001404 its reverse (40410041331), we get a palindrome (53724042735).

The spelling of 13314001404 in words is "thirteen billion, three hundred fourteen million, one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 137 209 228 274 411 418 548 627 822 836 1254 1507 1644 2508 2603 3014 4521 5206 6028 7809 9042 10412 15618 18084 28633 31236 38749 57266 77498 85899 114532 116247 154996 171798 232494 343596 426239 464988 736231 852478 1278717 1472462 1704956 2208693 2557434 2944924 4417386 5114868 5308613 8098541 8834772 10617226 15925839 16197082 21234452 24295623 31851678 32394164 48591246 58394743 63703356 97182492 100863647 116789486 175184229 201727294 233578972 302590941 350368458 403454588 605181882 700736916 1109500117 1210363764 2219000234 3328500351 4438000468 6657000702 13314001404