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14830124841 = 347219332
BaseRepresentation
bin11011100111111000…
…11011111100101001
31102021112111101210000
431303330123330221
5220333002443331
610451325013213
71033334660400
oct156374337451
942245441700
1014830124841
116320245324
122a5a6b4209
1315245ab7cc
14a09844637
155bbe5b0e6
hex373f1bf29

14830124841 has 45 divisors (see below), whose sum is σ = 25783903431. Its totient is φ = 8469973008.

The previous prime is 14830124839. The next prime is 14830124857. The reversal of 14830124841 is 14842103841.

It is a happy number.

The square root of 14830124841 is 121779.

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

14830124841 is a `hidden beast` number, since 148 + 30 + 1 + 2 + 484 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10097235225 + 4732889616 = 100485^2 + 68796^2 .

It is not a de Polignac number, because 14830124841 - 21 = 14830124839 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14830124796 and 14830124805.

It is not an unprimeable number, because it can be changed into a prime (14830124831) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7671111 + ... + 7673043.

Almost surely, 214830124841 is an apocalyptic number.

14830124841 is the 121779-th square number.

14830124841 is the 60890-th centered octagonal number.

It is an amenable number.

14830124841 is a deficient number, since it is larger than the sum of its proper divisors (10953778590).

14830124841 is an frugal number, since it uses more digits than its factorization.

14830124841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 14830124841 by its sum of digits (36), we get a square (533884494276 = 7306742).

The spelling of 14830124841 in words is "fourteen billion, eight hundred thirty million, one hundred twenty-four thousand, eight hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 1933 3969 5799 13531 17397 40593 52191 94717 121779 156573 284151 365337 852453 1096011 2557359 3736489 7672077 11209467 26155423 33628401 78466269 100885203 183087961 235398807 302655609 549263883 706196421 1647791649 2118589263 4943374947 14830124841