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44242422432 = 25313231541333
BaseRepresentation
bin101001001101000011…
…011100101010100000
311020012022220221000020
4221031003130222200
51211102030004212
632154044353440
73124240246215
oct511503345240
9136168827006
1044242422432
111784376a88a
1286a8845880
134230c925b0
1421d9bc7b0c
15123e195d8c
hexa4d0dcaa0

44242422432 has 96 divisors (see below), whose sum is σ = 130507832448. Its totient is φ = 13021172736.

The previous prime is 44242422407. The next prime is 44242422449. The reversal of 44242422432 is 23422424244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44242422393 and 44242422402.

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, 741963 + ... + 799370.

It is an arithmetic number, because the mean of its divisors is an integer number (1359456588).

Almost surely, 244242422432 is an apocalyptic number.

It is an amenable number.

44242422432 is an abundant number, since it is smaller than the sum of its proper divisors (86265410016).

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

44242422432 is a wasteful number, since it uses less digits than its factorization.

44242422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541382 (or 1541374 counting only the distinct ones).

The product of its digits is 98304, while the sum is 33.

Adding to 44242422432 its reverse (23422424244), we get a palindrome (67664846676).

The spelling of 44242422432 in words is "forty-four billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 9568 14352 28704 1541333 3082666 4623999 6165332 9247998 12330664 18495996 20037329 24661328 35450659 36991992 40074658 49322656 60111987 70901318 73983984 80149316 106351977 120223974 141802636 147967968 160298632 212703954 240447948 283605272 320597264 425407908 460858567 480895896 567210544 641194528 850815816 921717134 961791792 1134421088 1382575701 1701631632 1843434268 1923583584 2765151402 3403263264 3686868536 5530302804 7373737072 11060605608 14747474144 22121211216 44242422432