Search a number
-
+
14151164230321 = 174123418672773
BaseRepresentation
bin1100110111101101001100…
…0111011111101010110001
31212002211121222002111101121
43031323103013133222301
53323323041020332241
650032542145102241
72660250020201236
oct315732307375261
955084558074347
1014151164230321
114566525319258
121706710327981
137b85ab782691
1436ccc46bb78d
15198186ceead1
hexcded31dfab1

14151164230321 has 16 divisors (see below), whose sum is σ = 15355597351248. Its totient is φ = 12988343347200.

The previous prime is 14151164230309. The next prime is 14151164230337. The reversal of 14151164230321 is 12303246115141.

It can be written as a sum of positive squares in 8 ways, for example, as 620250753600 + 13530913476721 = 787560^2 + 3678439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14151164230321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14151164230361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704710 + ... + 5968063.

It is an arithmetic number, because the mean of its divisors is an integer number (959724834453).

Almost surely, 214151164230321 is an apocalyptic number.

It is an amenable number.

14151164230321 is a deficient number, since it is larger than the sum of its proper divisors (1204433120927).

14151164230321 is a wasteful number, since it uses less digits than its factorization.

14151164230321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675172.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 14151164230321 in words is "fourteen trillion, one hundred fifty-one billion, one hundred sixty-four million, two hundred thirty thousand, three hundred twenty-one".

Divisors: 1 17 41 697 2341 39797 95981 1631677 8672773 147437141 355583693 6044922781 20302961593 345150347081 832421425313 14151164230321