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13044123554440 = 23511163181875677
BaseRepresentation
bin1011110111010001001001…
…0110011101001010001000
31201012000011101202100001111
42331310102112131022020
53202203331112220230
643424215421300104
72514256353542656
oct275642226351210
951160141670044
1013044123554440
114179a88761270
121568056704634
1373809512c104
143314a6109dd6
1517949319c92a
hexbdd1259d288

13044123554440 has 64 divisors (see below), whose sum is σ = 32213820087360. Its totient is φ = 4714217521920.

The previous prime is 13044123554389. The next prime is 13044123554447. The reversal of 13044123554440 is 4445532144031.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13044123554393 and 13044123554402.

It is not an unprimeable number, because it can be changed into a prime (13044123554447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90866119 + ... + 91009558.

It is an arithmetic number, because the mean of its divisors is an integer number (503340938865).

Almost surely, 213044123554440 is an apocalyptic number.

13044123554440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044123554440 is an abundant number, since it is smaller than the sum of its proper divisors (19169696532920).

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

13044123554440 is a wasteful number, since it uses less digits than its factorization.

13044123554440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181875862 (or 181875858 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 13044123554440 its reverse (4445532144031), we get a palindrome (17489655698471).

The spelling of 13044123554440 in words is "thirteen trillion, forty-four billion, one hundred twenty-three million, five hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1793 3260 3586 6520 7172 8965 14344 17930 35860 71720 181875677 363751354 727502708 909378385 1455005416 1818756770 2000632447 3637513540 4001264894 7275027080 8002529788 10003162235 16005059576 20006324470 29645735351 40012648940 59291470702 80025297880 118582941404 148228676755 237165882808 296457353510 326103088861 592914707020 652206177722 1185829414040 1304412355444 1630515444305 2608824710888 3261030888610 6522061777220 13044123554440