Search a number
-
+
14406052351236 = 223713192099330793
BaseRepresentation
bin1101000110100010101110…
…1000100000110100000100
31220000012112120001121211020
43101220223220200310010
53342012043400214421
650350014334111140
73014542256366340
oct321505350406404
956005476047736
1014406052351236
114654632a95057
121747ba594b4b0
1380663c45a6c0
1437b38438a620
1519eb03d20dc6
hexd1a2ba20d04

14406052351236 has 192 divisors, whose sum is σ = 43569539328000. Its totient is φ = 3597704377344.

The previous prime is 14406052351231. The next prime is 14406052351253. The reversal of 14406052351236 is 63215325060441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14406052351231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43384656 + ... + 43715448.

It is an arithmetic number, because the mean of its divisors is an integer number (226924684000).

Almost surely, 214406052351236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14406052351236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784769664000).

14406052351236 is an abundant number, since it is smaller than the sum of its proper divisors (29163486976764).

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

14406052351236 is a wasteful number, since it uses less digits than its factorization.

14406052351236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332938 (or 332936 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 14406052351236 in words is "fourteen trillion, four hundred six billion, fifty-two million, three hundred fifty-one thousand, two hundred thirty-six".