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44994894400 = 265253032
BaseRepresentation
bin101001111001111001…
…111001101001000000
311022010202211110111101
4221321321321221000
51214122143110100
632400444424144
73152005202101
oct517171715100
9138122743441
1044994894400
111809a499145
128878848054
134320b44291
14226bb003a8
15128528086a
hexa79e79a40

44994894400 has 63 divisors (see below), whose sum is σ = 110736443881. Its totient is φ = 17994563840.

The previous prime is 44994894341. The next prime is 44994894433. The reversal of 44994894400 is 449849944.

The square root of 44994894400 is 212120.

It is a perfect power (a square), and thus also a powerful number.

44994894400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16198161984 + 28796732416 = 127272^2 + 169696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8482149 + ... + 8487451.

Almost surely, 244994894400 is an apocalyptic number.

44994894400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44994894400 is the 212120-th square number.

It is an amenable number.

44994894400 is an abundant number, since it is smaller than the sum of its proper divisors (65741549481).

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

44994894400 is an frugal number, since it uses more digits than its factorization.

44994894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 44994894400 in words is "forty-four billion, nine hundred ninety-four million, eight hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 5303 10606 21212 26515 42424 53030 84848 106060 132575 169696 212120 265150 339392 424240 530300 848480 1060600 1696960 2121200 4242400 8484800 28121809 56243618 112487236 140609045 224974472 281218090 449948944 562436180 703045225 899897888 1124872360 1406090450 1799795776 2249744720 2812180900 4499489440 5624361800 8998978880 11248723600 22497447200 44994894400