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23144142000 = 243537643857
BaseRepresentation
bin10101100011011111…
…111001010010110000
32012201221210020020110
4111203133321102300
5334344400021000
614344323141320
71446350650440
oct254337712260
965657706213
1023144142000
1198a72a0491
12459ab14840
13224abb98a5
141197ad0120
15906cd3850
hex5637f94b0

23144142000 has 320 divisors, whose sum is σ = 85508527104. Its totient is φ = 5275699200.

The previous prime is 23144141981. The next prime is 23144142011. The reversal of 23144142000 is 24144132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27005572 + ... + 27006428.

Almost surely, 223144142000 is an apocalyptic number.

23144142000 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 23144142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42754263552).

23144142000 is an abundant number, since it is smaller than the sum of its proper divisors (62364385104).

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

23144142000 is a wasteful number, since it uses less digits than its factorization.

23144142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 23144142000 its reverse (24144132), we get a palindrome (23168286132).

The spelling of 23144142000 in words is "twenty-three billion, one hundred forty-four million, one hundred forty-two thousand".