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2130644460312 = 233229592284171
BaseRepresentation
bin11111000000010100010…
…011100110001100011000
321112200120021110001221100
4133000110103212030120
5234402024440212222
64310445441111400
7306635233044324
oct37002423461430
97480507401840
102130644460312
11751668285545
122a4b24628560
13125bc3b00564
14751a3796984
153a6526e24ac
hex1f0144e6318

2130644460312 has 24 divisors (see below), whose sum is σ = 5770495413540. Its totient is φ = 710214820080.

The previous prime is 2130644460311. The next prime is 2130644460313.

2130644460312 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 6 + 4 + 44 + 603 + 1 + 2 = 666.

2130644460312 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2130644460311) and next prime (2130644460313).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130644460311) 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 5 ways as a sum of consecutive naturals, for example, 14796142014 + ... + 14796142157.

Almost surely, 22130644460312 is an apocalyptic number.

It is an amenable number.

2130644460312 is an abundant number, since it is smaller than the sum of its proper divisors (3639850953228).

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

2130644460312 is a wasteful number, since it uses less digits than its factorization.

2130644460312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29592284183 (or 29592284176 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2130644460312 in words is "two trillion, one hundred thirty billion, six hundred forty-four million, four hundred sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29592284171 59184568342 88776852513 118369136684 177553705026 236738273368 266330557539 355107410052 532661115078 710214820104 1065322230156 2130644460312