Search a number
-
+
23143860480 = 2835132191877
BaseRepresentation
bin10101100011011110…
…110100100100000000
32012201221020221001210
4111203132310210000
5334344312013410
614344313130120
71446345365616
oct254336644400
965657227053
1023143860480
1198a7118a24
12459a9b9940
13224ab1b700
141197a596b6
15906c7a220
hex5637b4900

23143860480 has 432 divisors, whose sum is σ = 84296358720. Its totient is φ = 5394235392.

The previous prime is 23143860473. The next prime is 23143860529. The reversal of 23143860480 is 8406834132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12329302 + ... + 12331178.

It is an arithmetic number, because the mean of its divisors is an integer number (195130460).

Almost surely, 223143860480 is an apocalyptic number.

23143860480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23143860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42148179360).

23143860480 is an abundant number, since it is smaller than the sum of its proper divisors (61152498240).

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

23143860480 is a wasteful number, since it uses less digits than its factorization.

23143860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 23143860480 in words is "twenty-three billion, one hundred forty-three million, eight hundred sixty thousand, four hundred eighty".