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2130417144 = 2332131922433
BaseRepresentation
bin111111011111011…
…1001010111111000
312111110202101220200
41332332321113320
513330341322034
6551222122200
7103536150462
oct17676712770
95443671820
102130417144
119a3623a29
124b5580360
1327c4aa97b
14162d27132
15c7074a99
hex7efb95f8

2130417144 has 48 divisors (see below), whose sum is σ = 5774511600. Its totient is φ = 709569024.

The previous prime is 2130417143. The next prime is 2130417193. The reversal of 2130417144 is 4417140312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130417143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83752 + ... + 106184.

It is an arithmetic number, because the mean of its divisors is an integer number (120302325).

Almost surely, 22130417144 is an apocalyptic number.

2130417144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130417144 is an abundant number, since it is smaller than the sum of its proper divisors (3644094456).

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

2130417144 is a wasteful number, since it uses less digits than its factorization.

2130417144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23764 (or 23757 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2130417144 is about 46156.4420639200. The cubic root of 2130417144 is about 1286.7323391120.

Adding to 2130417144 its reverse (4417140312), we get a palindrome (6547557456).

The spelling of 2130417144 in words is "two billion, one hundred thirty million, four hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1319 2638 3957 5276 7914 10552 11871 15828 22433 23742 31656 44866 47484 67299 89732 94968 134598 179464 201897 269196 403794 538392 807588 1615176 29589127 59178254 88767381 118356508 177534762 236713016 266302143 355069524 532604286 710139048 1065208572 2130417144