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201040000344 = 233212919216133
BaseRepresentation
bin1011101100111011101…
…0101111010101011000
3201012220211020011202200
42323032322233111120
511243212220002334
6232205000530200
720344646543661
oct2731672572530
9635824204680
10201040000344
1178295925917
1232b67a80960
1315c5b9230b1
149a32282368
155369907799
hex2eceeaf558

201040000344 has 48 divisors (see below), whose sum is σ = 544527999600. Its totient is φ = 67007836224.

The previous prime is 201040000333. The next prime is 201040000373. The reversal of 201040000344 is 443000040102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 822102 + ... + 1038234.

It is an arithmetic number, because the mean of its divisors is an integer number (11344333325).

Almost surely, 2201040000344 is an apocalyptic number.

201040000344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201040000344 is an abundant number, since it is smaller than the sum of its proper divisors (343487999256).

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

201040000344 is a wasteful number, since it uses less digits than its factorization.

201040000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229064 (or 229057 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 201040000344 its reverse (443000040102), we get a palindrome (644040040446).

The spelling of 201040000344 in words is "two hundred one billion, forty million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 12919 25838 38757 51676 77514 103352 116271 155028 216133 232542 310056 432266 465084 648399 864532 930168 1296798 1729064 1945197 2593596 3890394 5187192 7780788 15561576 2792222227 5584444454 8376666681 11168888908 16753333362 22337777816 25130000043 33506666724 50260000086 67013333448 100520000172 201040000344