Search a number
-
+
14814394452 = 223311213293197
BaseRepresentation
bin11011100110000000…
…11011100001010100
31102020102220012202000
431303000123201110
5220314441110302
610450003515300
71033054163244
oct156300334124
942212805660
1014814394452
116312380900
122a55388b30
1315212618a0
14a0770bb24
155ba8a031c
hex37301b854

14814394452 has 576 divisors, whose sum is σ = 49049548800. Its totient is φ = 3832012800.

The previous prime is 14814394451. The next prime is 14814394457. The reversal of 14814394452 is 25449341841.

14814394452 is a `hidden beast` number, since 1 + 481 + 43 + 94 + 45 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14814394398 and 14814394407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14814394451) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152725668 + ... + 152725764.

Almost surely, 214814394452 is an apocalyptic number.

14814394452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14814394452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24524774400).

14814394452 is an abundant number, since it is smaller than the sum of its proper divisors (34235154348).

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

14814394452 is a wasteful number, since it uses less digits than its factorization.

14814394452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 14814394452 in words is "fourteen billion, eight hundred fourteen million, three hundred ninety-four thousand, four hundred fifty-two".