Search a number
-
+
1146241705464 = 233243370233109
BaseRepresentation
bin10000101011100001010…
…101000110010111111000
311001120122112222210110200
4100223201111012113320
5122240000334033324
62234324241442200
7145545636511242
oct20534125062770
94046575883420
101146241705464
114021336187a9
12166196040360
138412302377b
143d69aa01092
151ec3a416ec9
hex10ae15465f8

1146241705464 has 48 divisors (see below), whose sum is σ = 3176600083800. Its totient is φ = 373194972864.

The previous prime is 1146241705463. The next prime is 1146241705591. The reversal of 1146241705464 is 4645071426411.

1146241705464 is a `hidden beast` number, since 1 + 1 + 4 + 62 + 41 + 7 + 0 + 546 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146241705463) 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 11 ways as a sum of consecutive naturals, for example, 185113459 + ... + 185119650.

Almost surely, 21146241705464 is an apocalyptic number.

It is an amenable number.

1146241705464 is an abundant number, since it is smaller than the sum of its proper divisors (2030358378336).

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

1146241705464 is a wasteful number, since it uses less digits than its factorization.

1146241705464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370233164 (or 370233157 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1146241705464 in words is "one trillion, one hundred forty-six billion, two hundred forty-one million, seven hundred five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 370233109 740466218 1110699327 1480932436 2221398654 2961864872 3332097981 4442797308 6664195962 8885594616 13328391924 15920023687 26656783848 31840047374 47760071061 63680094748 95520142122 127360189496 143280213183 191040284244 286560426366 382080568488 573120852732 1146241705464