Search a number
-
+
23144332230432 = 253473158770099
BaseRepresentation
bin1010100001100101101011…
…01100110111111100100000
310000221120120022021202210000
411100302311230313330200
511013144043022333212
6121120205350140000
74606060062006510
oct520626554677440
9100846508252700
1023144332230432
117413502199786
12271963a051600
13cbb66909b38a
145a0297c99840
152a20857ea1dc
hex150cb5b37f20

23144332230432 has 480 divisors, whose sum is σ = 80437993574400. Its totient is φ = 6388361602560.

The previous prime is 23144332230427. The next prime is 23144332230457. The reversal of 23144332230432 is 23403223344132.

23144332230432 is a `hidden beast` number, since 2 + 3 + 14 + 4 + 332 + 2 + 304 + 3 + 2 = 666.

It is a super-2 number, since 2×231443322304322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 330131319 + ... + 330201417.

It is an arithmetic number, because the mean of its divisors is an integer number (167579153280).

Almost surely, 223144332230432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23144332230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40218996787200).

23144332230432 is an abundant number, since it is smaller than the sum of its proper divisors (57293661343968).

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

23144332230432 is a wasteful number, since it uses less digits than its factorization.

23144332230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70746 (or 70729 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23144332230432 its reverse (23403223344132), we get a palindrome (46547555574564).

The spelling of 23144332230432 in words is "twenty-three trillion, one hundred forty-four billion, three hundred thirty-two million, two hundred thirty thousand, four hundred thirty-two".