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244090343025 = 3452109792
BaseRepresentation
bin1110001101010011101…
…0110000111001110001
3212100001002001011210000
43203110322300321301
512444344111434100
6304044503100213
723430533453064
oct3432472607161
9770032034700
10244090343025
11945776a9521
123b381441669
131a02c935249
14bb579dc8db
1565390c9900
hex38d4eb0e71

244090343025 has 45 divisors (see below), whose sum is σ = 452180878171. Its totient is φ = 130169658960.

The previous prime is 244090342931. The next prime is 244090343039. The reversal of 244090343025 is 520343090442.

The square root of 244090343025 is 494055.

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

It can be written as a sum of positive squares in only one way, i.e., 87872523489 + 156217819536 = 296433^2 + 395244^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 244090343025 - 225 = 244056788593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22226986 + ... + 22237964.

Almost surely, 2244090343025 is an apocalyptic number.

244090343025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

244090343025 is the 494055-th square number.

244090343025 is the 247028-th centered octagonal number.

It is an amenable number.

244090343025 is a deficient number, since it is larger than the sum of its proper divisors (208090535146).

244090343025 is an frugal number, since it uses more digits than its factorization.

244090343025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21980 (or 10987 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Multiplying 244090343025 by its sum of digits (36), we get a square (8787252348900 = 29643302).

The spelling of 244090343025 in words is "two hundred forty-four billion, ninety million, three hundred forty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 10979 32937 54895 98811 164685 274475 296433 494055 823425 889299 1482165 2470275 4446495 7410825 22232475 120538441 361615323 602692205 1084845969 1808076615 3013461025 3254537907 5424229845 9040383075 9763613721 16272689535 27121149225 48818068605 81363447675 244090343025