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1034442330444 = 2232883130125013
BaseRepresentation
bin11110000110110011001…
…00010101000101001100
310122220002001202002121100
433003121210111011030
5113422014214033234
62111114413103100
7134510305505415
oct17033144250514
93586061662540
101034442330444
113697828005a6
12148594787a90
1376716ac5123
14380d286880c
151bd9538b399
hexf0d991514c

1034442330444 has 72 divisors (see below), whose sum is σ = 2619918533232. Its totient is φ = 344145110400.

The previous prime is 1034442330419. The next prime is 1034442330473. The reversal of 1034442330444 is 4440332444301.

1034442330444 is a `hidden beast` number, since 1 + 0 + 344 + 4 + 2 + 3 + 304 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1034442330399 and 1034442330408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41343682 + ... + 41368694.

It is an arithmetic number, because the mean of its divisors is an integer number (36387757406).

Almost surely, 21034442330444 is an apocalyptic number.

It is an amenable number.

1034442330444 is an abundant number, since it is smaller than the sum of its proper divisors (1585476202788).

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

1034442330444 is a wasteful number, since it uses less digits than its factorization.

1034442330444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27207 (or 27202 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 1034442330444 its reverse (4440332444301), we get a palindrome (5474774774745).

The spelling of 1034442330444 in words is "one trillion, thirty-four billion, four hundred forty-two million, three hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 883 1301 1766 2602 2649 3532 3903 5204 5298 7806 7947 10596 11709 15612 15894 23418 25013 31788 46836 50026 75039 100052 150078 225117 300156 450234 900468 1148783 2297566 3446349 4595132 6892698 10339047 13785396 20678094 22086479 32541913 41356188 44172958 65083826 66259437 88345916 97625739 130167652 132518874 195251478 198778311 265037748 292877217 390502956 397556622 585754434 795113244 1171508868 28734509179 57469018358 86203527537 114938036716 172407055074 258610582611 344814110148 517221165222 1034442330444