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230144841760 = 2551937452877
BaseRepresentation
bin1101011001010110110…
…0111001100000100000
3211000001012010022102011
43112111230321200200
512232314034414020
6253421014402304
722425126610021
oct3262554714040
9730035108364
10230144841760
1189670843a69
123872b060394
13189196c8352
14b1d3870c48
155ebeb5e35a
hex3595b39820

230144841760 has 48 divisors (see below), whose sum is σ = 546534449496. Its totient is φ = 91580940288.

The previous prime is 230144841757. The next prime is 230144841821. The reversal of 230144841760 is 67148441032.

It can be written as a sum of positive squares in 4 ways, for example, as 171505313424 + 58639528336 = 414132^2 + 242156^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 3695559 + ... + 3757318.

Almost surely, 2230144841760 is an apocalyptic number.

230144841760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230144841760 is an abundant number, since it is smaller than the sum of its proper divisors (316389607736).

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

230144841760 is a wasteful number, since it uses less digits than its factorization.

230144841760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453085 (or 7453077 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 230144841760 in words is "two hundred thirty billion, one hundred forty-four million, eight hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1930 3088 3860 6176 7720 15440 30880 7452877 14905754 29811508 37264385 59623016 74528770 119246032 149057540 238492064 298115080 596230160 1192460320 1438405261 2876810522 5753621044 7192026305 11507242088 14384052610 23014484176 28768105220 46028968352 57536210440 115072420880 230144841760