Search a number
-
+
44120040320 = 27568937563
BaseRepresentation
bin101001000101110000…
…100110001110000000
311012212210122021022102
4221011300212032000
51210324212242240
632133553325532
73121223104106
oct510560461600
9135783567272
1044120040320
1117790681344
1286738668a8
134211813345
1421c784bc76
15123356e815
hexa45c26380

44120040320 has 32 divisors (see below), whose sum is σ = 105474472920. Its totient is φ = 17648015872.

The previous prime is 44120040299. The next prime is 44120040343. The reversal of 44120040320 is 2304002144.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44120040292 and 44120040301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34468142 + ... + 34469421.

Almost surely, 244120040320 is an apocalyptic number.

44120040320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44120040320 is an abundant number, since it is smaller than the sum of its proper divisors (61354432600).

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

44120040320 is an equidigital number, since it uses as much as digits as its factorization.

44120040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68937582 (or 68937570 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 44120040320 its reverse (2304002144), we get a palindrome (46424042464).

The spelling of 44120040320 in words is "forty-four billion, one hundred twenty million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 68937563 137875126 275750252 344687815 551500504 689375630 1103001008 1378751260 2206002016 2757502520 4412004032 5515005040 8824008064 11030010080 22060020160 44120040320