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44131755713144 = 23112390912398441
BaseRepresentation
bin10100000100011001110011…
…00111110110001001111000
312210020221202221020102112012
422002030321213312021320
521241023313430310034
6233505503152305052
712203262022120331
oct1202147147661170
9183227687212465
1044131755713144
1113075199651070
124b49043842188
131b817b6c1cc28
14ac7dba14d288
15517e7cc46cce
hex2823399f6278

44131755713144 has 64 divisors (see below), whose sum is σ = 94204661748480. Its totient is φ = 19185601248000.

The previous prime is 44131755713099. The next prime is 44131755713147.

44131755713144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441317557131442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44131755713092 and 44131755713101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44131755713147) 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, 17200964 + ... + 19599404.

It is an arithmetic number, because the mean of its divisors is an integer number (1471947839820).

Almost surely, 244131755713144 is an apocalyptic number.

44131755713144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44131755713144 is an abundant number, since it is smaller than the sum of its proper divisors (50072906035336).

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

44131755713144 is a wasteful number, since it uses less digits than its factorization.

44131755713144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407572 (or 2407568 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 50.

The spelling of 44131755713144 in words is "forty-four trillion, one hundred thirty-one billion, seven hundred fifty-five million, seven hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 9091 18182 36364 72728 100001 200002 209093 400004 418186 800008 836372 1672744 2300023 2398441 4600046 4796882 9200092 9593764 18400184 19187528 26382851 52765702 55164143 105531404 110328286 211062808 220656572 441313144 606805573 1213611146 2427222292 4854444584 21804227131 43608454262 87216908524 174433817048 239846498441 479692996882 501497224013 959385993764 1002994448026 1918771987528 2005988896052 4011977792104 5516469464143 11032938928286 22065877856572 44131755713144