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44204201120 = 255541510677
BaseRepresentation
bin101001001010110001…
…101001010010100000
311020002200000002020002
4221022301221102200
51211012233413440
632150201235132
73123264336632
oct511261512240
9136080002202
1044204201120
1117824134622
128697a92aa8
13422609c531
1421d4ab8a52
15123ab46115
hexa4ac694a0

44204201120 has 48 divisors (see below), whose sum is σ = 104625665928. Its totient is φ = 17648962560.

The previous prime is 44204201089. The next prime is 44204201123. The reversal of 44204201120 is 2110240244.

It can be written as a sum of positive squares in 4 ways, for example, as 24457206544 + 19746994576 = 156388^2 + 140524^2 .

It is a super-2 number, since 2×442042011202 (a number of 22 digits) contains 22 as substring.

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 = 44204201092 and 44204201101.

It is not an unprimeable number, because it can be changed into a prime (44204201123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168779 + ... + 341898.

Almost surely, 244204201120 is an apocalyptic number.

44204201120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44204201120 is an abundant number, since it is smaller than the sum of its proper divisors (60421464808).

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

44204201120 is a wasteful number, since it uses less digits than its factorization.

44204201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511233 (or 511225 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 44204201120 its reverse (2110240244), we get a palindrome (46314441364).

The spelling of 44204201120 in words is "forty-four billion, two hundred four million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 541 1082 2164 2705 4328 5410 8656 10820 17312 21640 43280 86560 510677 1021354 2042708 2553385 4085416 5106770 8170832 10213540 16341664 20427080 40854160 81708320 276276257 552552514 1105105028 1381381285 2210210056 2762762570 4420420112 5525525140 8840840224 11051050280 22102100560 44204201120