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44142322324144 = 2411318090601599
BaseRepresentation
bin10100000100101101011110…
…11100010001001010110000
312210021222001100011212211011
422002112233130101022300
521241211434003333034
6233514411455400304
712204114616616362
oct1202265734211260
9183258040155734
1044142322324144
1113079721189330
124b4b0b2523094
131b827ac115585
14ac86dd646d32
1551839a729864
hex2825af7112b0

44142322324144 has 40 divisors (see below), whose sum is σ = 96310521446400. Its totient is φ = 19417443835200.

The previous prime is 44142322324081. The next prime is 44142322324147.

44142322324144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44142322324097 and 44142322324106.

It is not an unprimeable number, because it can be changed into a prime (44142322324147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4045295344 + ... + 4045306255.

It is an arithmetic number, because the mean of its divisors is an integer number (2407763036160).

Almost surely, 244142322324144 is an apocalyptic number.

44142322324144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44142322324144 is an abundant number, since it is smaller than the sum of its proper divisors (52168199122256).

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

44142322324144 is a wasteful number, since it uses less digits than its factorization.

44142322324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090601649 (or 8090601643 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 4414232 and 2324144, that added together give a palindrome (6738376).

The spelling of 44142322324144 in words is "forty-four trillion, one hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 8090601599 16181203198 32362406396 64724812792 88996617589 129449625584 177993235178 250808649569 355986470356 501617299138 711972940712 1003234598276 1423945881424 2006469196552 2758895145259 4012938393104 5517790290518 11035580581036 22071161162072 44142322324144