Search a number
-
+
23140441000 = 235341564401
BaseRepresentation
bin10101100011010001…
…110001101110101000
32012201200211012102101
4111203101301232220
5334342423103000
614344111543144
71446304334365
oct254321615650
965650735371
1023140441000
1198a51a2906
12459982aab4
13224a1c2151
14119740946c
15906801e6a
hex563471ba8

23140441000 has 64 divisors (see below), whose sum is σ = 55469428560. Its totient is φ = 9030400000.

The previous prime is 23140440979. The next prime is 23140441001. The reversal of 23140441000 is 14404132.

It can be written as a sum of positive squares in 8 ways, for example, as 1574343684 + 21566097316 = 39678^2 + 146854^2 .

It is not an unprimeable number, because it can be changed into a prime (23140441001) 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 15 ways as a sum of consecutive naturals, for example, 241201 + ... + 323200.

Almost surely, 223140441000 is an apocalyptic number.

23140441000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23140441000 is an abundant number, since it is smaller than the sum of its proper divisors (32328987560).

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

23140441000 is a wasteful number, since it uses less digits than its factorization.

23140441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564463 (or 564449 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 23140441000 its reverse (14404132), we get a palindrome (23154845132).

The spelling of 23140441000 in words is "twenty-three billion, one hundred forty million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 564401 1128802 2257604 2822005 4515208 5644010 11288020 14110025 22576040 23140441 28220050 46280882 56440100 70550125 92561764 112880200 115702205 141100250 185123528 231404410 282200500 462808820 564401000 578511025 925617640 1157022050 2314044100 2892555125 4628088200 5785110250 11570220500 23140441000