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4120432314444 = 2232114456453179
BaseRepresentation
bin111011111101011100111…
…001111000100001001100
3112120220120000100011100200
4323331130321320201030
51020002121133030234
612432522300253500
7603456103535355
oct73753471704114
915526500304320
104120432314444
111349513692a56
12566698541290
1323b72a729964
14103603c5cd2c
15722adda8d99
hex3bf5ce7884c

4120432314444 has 18 divisors (see below), whose sum is σ = 10415537239380. Its totient is φ = 1373477438136.

The previous prime is 4120432314437. The next prime is 4120432314457. The reversal of 4120432314444 is 4444132340214.

4120432314444 is a `hidden beast` number, since 4 + 1 + 204 + 3 + 2 + 3 + 1 + 4 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 114456453179 = 4120432314444 / (4 + 1 + 2 + 0 + 4 + 3 + 2 + 3 + 1 + 4 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 4120432314399 and 4120432314408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57228226554 + ... + 57228226625.

Almost surely, 24120432314444 is an apocalyptic number.

It is an amenable number.

4120432314444 is an abundant number, since it is smaller than the sum of its proper divisors (6295104924936).

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

4120432314444 is a wasteful number, since it uses less digits than its factorization.

4120432314444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114456453189 (or 114456453184 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4120432314444 its reverse (4444132340214), we get a palindrome (8564564654658).

The spelling of 4120432314444 in words is "four trillion, one hundred twenty billion, four hundred thirty-two million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 114456453179 228912906358 343369359537 457825812716 686738719074 1030108078611 1373477438148 2060216157222 4120432314444