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44124311342144 = 261162676578611
BaseRepresentation
bin10100000100001011111011…
…11001110100110001000000
312210020020120010100012022202
422002011331321310301000
521240413042200422034
6233502232341452332
712202606366034645
oct1202057571646100
9183206503305282
1044124311342144
1113072019485a40
124b477067110a8
131b80b9b83b487
14ac78b159bdcc
15517b9440247e
hex28217de74c40

44124311342144 has 28 divisors (see below), whose sum is σ = 95519105804688. Its totient is φ = 20056505155200.

The previous prime is 44124311342131. The next prime is 44124311342161.

44124311342144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44124311342098 and 44124311342107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31338288602 + ... + 31338290009.

Almost surely, 244124311342144 is an apocalyptic number.

44124311342144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44124311342144 is an abundant number, since it is smaller than the sum of its proper divisors (51394794462544).

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

44124311342144 is a wasteful number, since it uses less digits than its factorization.

44124311342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62676578634 (or 62676578624 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 4412431 and 1342144, that added together give a palindrome (5754575).

The spelling of 44124311342144 in words is "forty-four trillion, one hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 62676578611 125353157222 250706314444 501412628888 689442364721 1002825257776 1378884729442 2005650515552 2757769458884 4011301031104 5515538917768 11031077835536 22062155671072 44124311342144