Search a number
-
+
14630817420 = 2232581282319
BaseRepresentation
bin11011010000001000…
…01000111010001100
31101202122110112101200
431220010020322030
5214430442124140
610415445105500
71025364616242
oct155004107214
941678415350
1014630817420
11622879574a
122a039b8290
1314c220781b
149cb1a2792
155a96dc030
hex368108e8c

14630817420 has 36 divisors (see below), whose sum is σ = 44380146720. Its totient is φ = 3901551264.

The previous prime is 14630817379. The next prime is 14630817469. The reversal of 14630817420 is 2471803641.

14630817420 is a `hidden beast` number, since 1 + 4 + 630 + 8 + 17 + 4 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40640980 + ... + 40641339.

Almost surely, 214630817420 is an apocalyptic number.

14630817420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14630817420 is an abundant number, since it is smaller than the sum of its proper divisors (29749329300).

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

14630817420 is a wasteful number, since it uses less digits than its factorization.

14630817420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81282334 (or 81282329 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14630817420 in words is "fourteen billion, six hundred thirty million, eight hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 81282319 162564638 243846957 325129276 406411595 487693914 731540871 812823190 975387828 1219234785 1463081742 1625646380 2438469570 2926163484 3657704355 4876939140 7315408710 14630817420