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23044102242000 = 243537173181617
BaseRepresentation
bin1010011110101010111111…
…00001110011111011010000
310000120222212002212210201020
411033111133201303323100
511010023310133221000
6121002151525435440
74565611223114010
oct517253741637320
9100528762783636
1023044102242000
117384a48a589a4
12270212726bb80
13cb2084a34a08
145994aa48bc40
1529e66b2d0ba0
hex14f55f873ed0

23044102242000 has 1280 divisors, whose sum is σ = 90858724669440. Its totient is φ = 4922007552000.

The previous prime is 23044102241981. The next prime is 23044102242121. The reversal of 23044102242000 is 24220144032.

It is a super-4 number, since 4×230441022420004 (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37348625692 + ... + 37348626308.

It is an arithmetic number, because the mean of its divisors is an integer number (70983378648).

Almost surely, 223044102242000 is an apocalyptic number.

23044102242000 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 23044102242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45429362334720).

23044102242000 is an abundant number, since it is smaller than the sum of its proper divisors (67814622427440).

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

23044102242000 is a wasteful number, since it uses less digits than its factorization.

23044102242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23044102242000 its reverse (24220144032), we get a palindrome (23068322386032).

The spelling of 23044102242000 in words is "twenty-three trillion, forty-four billion, one hundred two million, two hundred forty-two thousand".