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444401298816 = 2731647770237
BaseRepresentation
bin1100111011110000110…
…00011010110110000000
31120111002002110001102120
412131320120122312000
524240113213030231
6540053302044240
744051451466536
oct6357030326600
91514062401376
10444401298816
11161518a47382
1272165119680
1332ba34b9b17
141771b106156
15b85e9c3d96
hex677861ad80

444401298816 has 64 divisors (see below), whose sum is σ = 1180529399280. Its totient is φ = 148122667008.

The previous prime is 444401298799. The next prime is 444401298857. The reversal of 444401298816 is 618892104444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6292050 + ... + 6362286.

Almost surely, 2444401298816 is an apocalyptic number.

It is an amenable number.

444401298816 is an abundant number, since it is smaller than the sum of its proper divisors (736128100464).

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

444401298816 is a wasteful number, since it uses less digits than its factorization.

444401298816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86731 (or 86719 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 444401298816 in words is "four hundred forty-four billion, four hundred one million, two hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 16477 32954 49431 65908 70237 98862 131816 140474 197724 210711 263632 280948 395448 421422 527264 561896 790896 842844 1054528 1123792 1581792 1685688 2109056 2247584 3163584 3371376 4495168 6327168 6742752 8990336 13485504 26971008 1157295049 2314590098 3471885147 4629180196 6943770294 9258360392 13887540588 18516720784 27775081176 37033441568 55550162352 74066883136 111100324704 148133766272 222200649408 444401298816