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2023054422144 = 27374175124443
BaseRepresentation
bin11101011100000111011…
…100001011000010000000
321011101212010210211200220
4131130013130023002000
5231121203413002034
64145213421143040
7266106113600550
oct35340734130200
97141763724626
102023054422144
1170aa77531428
122880b89baa80
13118a08999692
146dcb86a7160
1537956e8c749
hex1d70770b080

2023054422144 has 256 divisors, whose sum is σ = 6299840655360. Its totient is φ = 563143680000.

The previous prime is 2023054422131. The next prime is 2023054422167. The reversal of 2023054422144 is 4412244503202.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 82753987 + ... + 82778429.

It is an arithmetic number, because the mean of its divisors is an integer number (24608752560).

Almost surely, 22023054422144 is an apocalyptic number.

2023054422144 is a gapful number since it is divisible by the number (24) 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 2023054422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149920327680).

2023054422144 is an abundant number, since it is smaller than the sum of its proper divisors (4276786233216).

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

2023054422144 is a wasteful number, since it uses less digits than its factorization.

2023054422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25259 (or 25247 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 2023054422144 its reverse (4412244503202), we get a palindrome (6435298925346).

The spelling of 2023054422144 in words is "two trillion, twenty-three billion, fifty-four million, four hundred twenty-two thousand, one hundred forty-four".