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14834996401 = 31239292
BaseRepresentation
bin11011101000011110…
…00001010010110001
31102021212122220022011
431310033001102301
5220340224341101
610452021242521
71033424250241
oct156417012261
942255586264
1014834996401
116322a72405
122a60263441
1315255c5ca4
14a0a351b21
155bc5be751
hex3743c14b1

14834996401 has 9 divisors (see below), whose sum is σ = 15332884203. Its totient is φ = 14352794160.

The previous prime is 14834996333. The next prime is 14834996447. The reversal of 14834996401 is 10469943841.

The square root of 14834996401 is 121799.

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., 2102130801 + 12732865600 = 45849^2 + 112840^2 .

It is a de Polignac number, because none of the positive numbers 2k-14834996401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14834996461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3773805 + ... + 3777733.

Almost surely, 214834996401 is an apocalyptic number.

14834996401 is the 121799-th square number.

14834996401 is the 60900-th centered octagonal number.

It is an amenable number.

14834996401 is a deficient number, since it is larger than the sum of its proper divisors (497887802).

14834996401 is an frugal number, since it uses more digits than its factorization.

14834996401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 14834996401 by its sum of digits (49), we get a square (726914823649 = 8525932).

The spelling of 14834996401 in words is "fourteen billion, eight hundred thirty-four million, nine hundred ninety-six thousand, four hundred one".

Divisors: 1 31 961 3929 121799 3775769 15437041 478548271 14834996401