Search a number
-
+
814080068148 = 2233715711678431
BaseRepresentation
bin10111101100010101111…
…01000000101000110100
32212211021122021022102010
423312022331000220310
5101314213444140043
61421552213044220
7112546443256254
oct13661275005064
92784248238363
10814080068148
11294281a80356
12111935926670
135b9c9040949
142b58a321964
151629948e133
hexbd8af40a34

814080068148 has 48 divisors (see below), whose sum is σ = 1963284560384. Its totient is φ = 262344251520.

The previous prime is 814080068147. The next prime is 814080068167. The reversal of 814080068148 is 841860080418.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 814080068097 and 814080068106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814080068141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5769508 + ... + 5908923.

Almost surely, 2814080068148 is an apocalyptic number.

It is an amenable number.

814080068148 is an abundant number, since it is smaller than the sum of its proper divisors (1149204492236).

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

814080068148 is a wasteful number, since it uses less digits than its factorization.

814080068148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678632 (or 11678630 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 814080068148 in words is "eight hundred fourteen billion, eighty million, sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 37 74 111 148 157 222 314 444 471 628 942 1884 5809 11618 17427 23236 34854 69708 11678431 23356862 35035293 46713724 70070586 140141172 432101947 864203894 1296305841 1728407788 1833513667 2592611682 3667027334 5185223364 5500541001 7334054668 11001082002 22002164004 67840005679 135680011358 203520017037 271360022716 407040034074 814080068148