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14376249801 = 3217223512
BaseRepresentation
bin11010110001110010…
…00010100111001001
31101002220110011021100
431120321002213021
5213420304443201
610334312532013
71016154051504
oct153071024711
941086404240
1014376249801
116108022291
1229526b1009
1314815560b4
149a545813b
155921a4886
hex358e429c9

14376249801 has 27 divisors (see below), whose sum is σ = 22068446023. Its totient is φ = 9016555200.

The previous prime is 14376249791. The next prime is 14376249821. The reversal of 14376249801 is 10894267341.

The square root of 14376249801 is 119901.

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

14376249801 is a `hidden beast` number, since 14 + 3 + 7 + 624 + 9 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11192582025 + 3183667776 = 105795^2 + 56424^2 .

It is not a de Polignac number, because 14376249801 - 29 = 14376249289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14376249821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6113776 + ... + 6116126.

Almost surely, 214376249801 is an apocalyptic number.

14376249801 is the 119901-st square number.

14376249801 is the 59951-st centered octagonal number.

It is an amenable number.

14376249801 is a deficient number, since it is larger than the sum of its proper divisors (7692196222).

14376249801 is an frugal number, since it uses more digits than its factorization.

14376249801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14376249801 in words is "fourteen billion, three hundred seventy-six million, two hundred forty-nine thousand, eight hundred one".

Divisors: 1 3 9 17 51 153 289 867 2351 2601 7053 21159 39967 119901 359703 679439 2038317 5527201 6114951 16581603 49744809 93962417 281887251 845661753 1597361089 4792083267 14376249801