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13010940404 = 22721117334883
BaseRepresentation
bin11000001111000001…
…10011000111110100
31020120202101020212122
430013200303013310
5203121300043104
65551021335112
7640265111600
oct140740630764
936522336778
1013010940404
115577378110
122631407498
1312c4732607
148b5db6500
155123b36be
hex3078331f4

13010940404 has 72 divisors (see below), whose sum is σ = 29062279008. Its totient is φ = 5039751360.

The previous prime is 13010940391. The next prime is 13010940409. The reversal of 13010940404 is 40404901031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010940409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355547 + ... + 390429.

It is an arithmetic number, because the mean of its divisors is an integer number (403642764).

Almost surely, 213010940404 is an apocalyptic number.

13010940404 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 13010940404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14531139504).

13010940404 is an abundant number, since it is smaller than the sum of its proper divisors (16051338604).

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

13010940404 is a wasteful number, since it uses less digits than its factorization.

13010940404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35085 (or 35076 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 13010940404 in words is "thirteen billion, ten million, nine hundred forty thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 173 196 308 346 539 692 1078 1211 1903 2156 2422 3806 4844 7612 8477 13321 16954 26642 33908 34883 53284 69766 93247 139532 186494 244181 372988 383713 488362 767426 976724 1534852 1709267 2685991 3418534 5371982 6034759 6837068 10743964 12069518 18801937 24139036 37603874 42243313 66382349 75207748 84486626 132764698 168973252 265529396 295703191 464676443 591406382 929352886 1182812764 1858705772 3252735101 6505470202 13010940404