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44134255243144 = 23111483338183161
BaseRepresentation
bin10100000100011110011101…
…00110110010111110001000
312210021012020010112201002101
422002033032212302332020
521241043423320240034
6233510555202043144
712203410662560653
oct1202171646627610
9183235203481071
1044134255243144
1113076261563a40
124b496209494b4
131b81ac4a16471
14ac81760ba89a
155180773cd514
hex2823ce9b2f88

44134255243144 has 32 divisors (see below), whose sum is σ = 90335486233440. Its totient is φ = 20047497724800.

The previous prime is 44134255243139. The next prime is 44134255243159.

44134255243144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44134255243094 and 44134255243103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168961077 + ... + 169222084.

It is an arithmetic number, because the mean of its divisors is an integer number (2822983944795).

Almost surely, 244134255243144 is an apocalyptic number.

44134255243144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44134255243144 is an abundant number, since it is smaller than the sum of its proper divisors (46201230990296).

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

44134255243144 is a wasteful number, since it uses less digits than its factorization.

44134255243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338184661 (or 338184657 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4413425 and 5243144, that added together give a palindrome (9656569).

The spelling of 44134255243144 in words is "forty-four trillion, one hundred thirty-four billion, two hundred fifty-five million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 1483 2966 5932 11864 16313 32626 65252 130504 338183161 676366322 1352732644 2705465288 3720014771 7440029542 14880059084 29760118168 501525627763 1003051255526 2006102511052 4012205022104 5516781905393 11033563810786 22067127621572 44134255243144