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1398344090256 = 2432985432
BaseRepresentation
bin10100010110010011110…
…011011000001010010000
311221200101000002212100100
4110112103303120022100
5140402302041342011
62550220154452400
7203012161436601
oct24262363301220
94850330085310
101398344090256
1149a041869843
121a7012734100
13a1b2b826b19
144b97471dda8
1526592ab9d56
hex14593cd8290

1398344090256 has 45 divisors (see below), whose sum is σ = 3913461021379. Its totient is φ = 466109966688.

The previous prime is 1398344090173. The next prime is 1398344090263. The reversal of 1398344090256 is 6520904438931.

The square root of 1398344090256 is 1182516.

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

1398344090256 is a `hidden beast` number, since 1 + 3 + 98 + 3 + 440 + 90 + 25 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14140921 + ... + 14239463.

Almost surely, 21398344090256 is an apocalyptic number.

1398344090256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1398344090256 is the 1182516-th square number.

It is an amenable number.

1398344090256 is an abundant number, since it is smaller than the sum of its proper divisors (2515116931123).

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

1398344090256 is an frugal number, since it uses more digits than its factorization.

1398344090256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197100 (or 98548 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1398344090256 in words is "one trillion, three hundred ninety-eight billion, three hundred forty-four million, ninety thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 98543 197086 295629 394172 591258 788344 886887 1182516 1576688 1773774 2365032 3547548 4730064 7095096 14190192 9710722849 19421445698 29132168547 38842891396 58264337094 77685782792 87396505641 116528674188 155371565584 174793011282 233057348376 349586022564 466114696752 699172045128 1398344090256