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444314465513025 = 35231371118884237
BaseRepresentation
bin110010100000110100000010…
…1111000101010111001000001
32011021012001022001020001112020
41211001220011320222321001
5431214122011132404100
64212551125252352053
7162405442440533202
oct14501500570527101
92137161261201466
10444314465513025
11119632785589678
12419bb153615629
13160bc89c61a3b3
147ba0d134175a9
15365798b3ec5a0
hex1941a05e2ae41

444314465513025 has 24 divisors (see below), whose sum is σ = 734602296860544. Its totient is φ = 236966947022400.

The previous prime is 444314465512979. The next prime is 444314465513027. The reversal of 444314465513025 is 520315564413444.

It is not a de Polignac number, because 444314465513025 - 26 = 444314465512961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444314465513027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14086207 + ... + 32970443.

It is an arithmetic number, because the mean of its divisors is an integer number (30608429035856).

Almost surely, 2444314465513025 is an apocalyptic number.

It is an amenable number.

444314465513025 is a deficient number, since it is larger than the sum of its proper divisors (290287831347519).

444314465513025 is a wasteful number, since it uses less digits than its factorization.

444314465513025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19197961 (or 19197956 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 51.

The spelling of 444314465513025 in words is "four hundred forty-four trillion, three hundred fourteen billion, four hundred sixty-five million, five hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 15 25 75 313711 941133 1568555 4705665 7842775 18884237 23528325 56652711 94421185 283263555 472105925 1416317775 5924192873507 17772578620521 29620964367535 88862893102605 148104821837675 444314465513025