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4432440442344 = 2331318287170123
BaseRepresentation
bin100000010000000001000…
…0010011011110111101000
3120200201220101200021211120
41000200002002123313220
51040110114223123334
613232122433255240
7635143002056205
oct100400202336750
916621811607746
104432440442344
1114598730924a2
125b7053404520
13261c922a7795
14114761ad6cac
157a470891949
hex4080209bde8

4432440442344 has 64 divisors (see below), whose sum is σ = 11167102679040. Its totient is φ = 1466016127680.

The previous prime is 4432440442303. The next prime is 4432440442373.

4432440442344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4432440442296 and 4432440442305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25969267 + ... + 26139389.

It is an arithmetic number, because the mean of its divisors is an integer number (174485979360).

Almost surely, 24432440442344 is an apocalyptic number.

It is an amenable number.

4432440442344 is an abundant number, since it is smaller than the sum of its proper divisors (6734662236696).

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

4432440442344 is a wasteful number, since it uses less digits than its factorization.

4432440442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178550 (or 178546 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

It can be divided in two parts, 4432440 and 442344, that added together give a palindrome (4874784).

The spelling of 4432440442344 in words is "four trillion, four hundred thirty-two billion, four hundred forty million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 3144 8287 16574 24861 33148 49722 66296 99444 170123 198888 340246 510369 680492 1020738 1085597 1360984 2041476 2171194 3256791 4082952 4342388 6513582 8684776 13027164 22286113 26054328 44572226 66858339 89144452 133716678 178288904 267433356 534866712 1409809301 2819618602 4229427903 5639237204 8458855806 11278474408 16917711612 33835423224 184685018431 369370036862 554055055293 738740073724 1108110110586 1477480147448 2216220221172 4432440442344