Search a number
-
+
14001661215 = 35519076043
BaseRepresentation
bin11010000101001000…
…00110010100011111
31100010210121002100000
431002210012110133
5212133411124330
610233212105343
71003655104503
oct150244062437
940123532300
1014001661215
115a35633343
122869165253
131421a71049
1496b7ca303
1556e360560
hex34290651f

14001661215 has 48 divisors (see below), whose sum is σ = 25185783168. Its totient is φ = 7462401696.

The previous prime is 14001661213. The next prime is 14001661237. The reversal of 14001661215 is 51216610041.

14001661215 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 6 + 612 + 1 + 5 = 666.

It is not a de Polignac number, because 14001661215 - 21 = 14001661213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001661213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2313984 + ... + 2320026.

It is an arithmetic number, because the mean of its divisors is an integer number (524703816).

Almost surely, 214001661215 is an apocalyptic number.

14001661215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14001661215 is a deficient number, since it is larger than the sum of its proper divisors (11184121953).

14001661215 is an equidigital number, since it uses as much as digits as its factorization.

14001661215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 14001661215 in words is "fourteen billion, one million, six hundred sixty-one thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 1907 5721 6043 9535 17163 18129 28605 30215 51489 54387 85815 90645 154467 163161 257445 271935 463401 489483 772335 815805 1468449 2317005 2447415 7342245 11524001 34572003 57620005 103716009 172860015 311148027 518580045 933444081 1555740135 2800332243 4667220405 14001661215