Search a number
-
+
14003106552 = 2333193412063
BaseRepresentation
bin11010000101010011…
…00111001011111000
31100010220022111222000
431002221213023320
5212134243402202
610233303101000
71004003304351
oct150251471370
940126274860
1014003106552
115a36430236
122869741760
131422158b86
1496ba84d28
1556e54891c
hex342a672f8

14003106552 has 64 divisors (see below), whose sum is σ = 40944768000. Its totient is φ = 4422032352.

The previous prime is 14003106529. The next prime is 14003106577. The reversal of 14003106552 is 25560130041.

14003106552 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 3 + 1 + 0 + 655 + 2 = 666.

14003106552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1701928 + ... + 1710135.

It is an arithmetic number, because the mean of its divisors is an integer number (639762000).

Almost surely, 214003106552 is an apocalyptic number.

14003106552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14003106552 is an abundant number, since it is smaller than the sum of its proper divisors (26941661448).

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

14003106552 is a wasteful number, since it uses less digits than its factorization.

14003106552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412097 (or 3412087 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 14003106552 its reverse (25560130041), we get a palindrome (39563236593).

The spelling of 14003106552 in words is "fourteen billion, three million, one hundred six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 3412063 6824126 10236189 13648252 20472378 27296504 30708567 40944756 61417134 64829197 81889512 92125701 122834268 129658394 184251402 194487591 245668536 259316788 368502804 388975182 518633576 583462773 737005608 777950364 1166925546 1555900728 1750388319 2333851092 3500776638 4667702184 7001553276 14003106552