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13044141012 = 2237191813023
BaseRepresentation
bin11000010010111110…
…11100101111010100
31020200001212000112210
430021133130233110
5203203300003022
65554205113420
7641150240430
oct141137345724
936601760483
1013044141012
115594094231
122640558870
1312cb588346
148ba5799c0
15515270a0c
hex3097dcbd4

13044141012 has 48 divisors (see below), whose sum is σ = 34966536192. Its totient is φ = 3707380320.

The previous prime is 13044141001. The next prime is 13044141017. The reversal of 13044141012 is 21014144031.

It is a super-2 number, since 2×130441410122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13044141012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044141017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390468 + ... + 422555.

It is an arithmetic number, because the mean of its divisors is an integer number (728469504).

Almost surely, 213044141012 is an apocalyptic number.

13044141012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13044141012 is an abundant number, since it is smaller than the sum of its proper divisors (21922395180).

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

13044141012 is a wasteful number, since it uses less digits than its factorization.

13044141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813228 (or 813226 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13044141012 its reverse (21014144031), we get a palindrome (34058285043).

The spelling of 13044141012 in words is "thirteen billion, forty-four million, one hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 2292 2674 4011 5348 8022 16044 813023 1626046 2439069 3252092 4878138 5691161 9756276 11382322 17073483 22764644 34146966 68293932 155287393 310574786 465862179 621149572 931724358 1087011751 1863448716 2174023502 3261035253 4348047004 6522070506 13044141012