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44848480400 = 2452112121201
BaseRepresentation
bin101001110001001011…
…011000000010010000
311021202120022212020122
4221301023120002100
51213322202333100
632334134325412
73145246536113
oct516113300220
9137676285218
1044848480400
1118024886139
1288377b9868
1342c96cc689
1422564aa57a
1512774ad985
hexa712d8090

44848480400 has 30 divisors (see below), whose sum is σ = 107748475122. Its totient is φ = 17939392000.

The previous prime is 44848480381. The next prime is 44848480409. The reversal of 44848480400 is 408484844.

It can be written as a sum of positive squares in 3 ways, for example, as 438818704 + 44409661696 = 20948^2 + 210736^2 .

It is a super-2 number, since 2×448484804002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44848480409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 56060201 + ... + 56061000.

Almost surely, 244848480400 is an apocalyptic number.

44848480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44848480400 is an abundant number, since it is smaller than the sum of its proper divisors (62899994722).

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

44848480400 is a wasteful number, since it uses less digits than its factorization.

44848480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112121219 (or 112121208 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 44848480400 in words is "forty-four billion, eight hundred forty-eight million, four hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 112121201 224242402 448484804 560606005 896969608 1121212010 1793939216 2242424020 2803030025 4484848040 5606060050 8969696080 11212120100 22424240200 44848480400