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2324441432144 = 241346124241213
BaseRepresentation
bin100001110100110011100…
…000011000000001010000
322020012210022122021110202
4201310303200120001100
5301040424001312034
64535500022514332
7326635553114156
oct41646340300120
98205708567422
102324441432144
11816876654887
123165aa8959a8
1313b269c79260
1480709ad93d6
15406e62c747e
hex21d33818050

2324441432144 has 40 divisors (see below), whose sum is σ = 4860557336712. Its totient is φ = 1070491921920.

The previous prime is 2324441432021. The next prime is 2324441432179. The reversal of 2324441432144 is 4412341444232.

It can be written as a sum of positive squares in 4 ways, for example, as 483025000000 + 1841416432144 = 695000^2 + 1356988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2324441432098 and 2324441432107.

It is a congruent number.

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, 12024719 + ... + 12216494.

Almost surely, 22324441432144 is an apocalyptic number.

It is an amenable number.

2324441432144 is an abundant number, since it is smaller than the sum of its proper divisors (2536115904568).

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

2324441432144 is a wasteful number, since it uses less digits than its factorization.

2324441432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24241695 (or 24241689 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

Adding to 2324441432144 its reverse (4412341444232), we get a palindrome (6736782876376).

The spelling of 2324441432144 in words is "two trillion, three hundred twenty-four billion, four hundred forty-one million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 461 922 1844 3688 5993 7376 11986 23972 47944 95888 24241213 48482426 96964852 193929704 315135769 387859408 630271538 1260543076 2521086152 5042172304 11175199193 22350398386 44700796772 89401593544 145277589509 178803187088 290555179018 581110358036 1162220716072 2324441432144