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13401044052 = 223111922672357
BaseRepresentation
bin11000111101100001…
…11011010001010100
31021120221102120110220
430132300323101110
5204421131402202
610053434514340
7653042665164
oct143660732124
937527376426
1013401044052
1157575a3820
12271bb959b0
1313574ba586
14911b225a4
1553676eabc
hex31ec3b454

13401044052 has 96 divisors (see below), whose sum is σ = 35938183680. Its totient is φ = 3843861120.

The previous prime is 13401044039. The next prime is 13401044089. The reversal of 13401044052 is 25044010431.

13401044052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5684458 + ... + 5686814.

It is an arithmetic number, because the mean of its divisors is an integer number (374356080).

Almost surely, 213401044052 is an apocalyptic number.

13401044052 is a gapful number since it is divisible by the number (12) 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 13401044052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17969091840).

13401044052 is an abundant number, since it is smaller than the sum of its proper divisors (22537139628).

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

13401044052 is a wasteful number, since it uses less digits than its factorization.

13401044052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 13401044052 its reverse (25044010431), we get a palindrome (38445054483).

The spelling of 13401044052 in words is "thirteen billion, four hundred one million, forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2267 2357 2508 4534 4714 6801 7071 9068 9428 13602 14142 24937 25927 27204 28284 43073 44783 49874 51854 74811 77781 86146 89566 99748 103708 129219 134349 149622 155562 172292 179132 258438 268698 299244 311124 473803 492613 516876 537396 947606 985226 1421409 1477839 1895212 1970452 2842818 2955678 5343319 5685636 5911356 10686638 16029957 21373276 32059914 58776509 64119828 101523061 117553018 176329527 203046122 235106036 304569183 352659054 406092244 609138366 705318108 1116753671 1218276732 2233507342 3350261013 4467014684 6700522026 13401044052