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20142243231000 = 23353112512431757
BaseRepresentation
bin1001001010001101110110…
…10000001011010100011000
32122022120122120012022211120
410211012323100023110120
510120002303231343000
6110501115132125240
74146141364363152
oct445067320132430
978276576168746
1020142243231000
1164663062188a0
122313850606820
13b31536832747
144d8c6577bad2
1524de2c9b36a0
hex1251bb40b518

20142243231000 has 256 divisors, whose sum is σ = 68830034757120. Its totient is φ = 4863512000000.

The previous prime is 20142243230983. The next prime is 20142243231049. The reversal of 20142243231000 is 13234224102.

It is a happy number.

It is a super-2 number, since 2×201422432310002 (a number of 27 digits) contains 22 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 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, 7067122 + ... + 9498878.

It is an arithmetic number, because the mean of its divisors is an integer number (268867323270).

Almost surely, 220142243231000 is an apocalyptic number.

20142243231000 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 20142243231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34415017378560).

20142243231000 is an abundant number, since it is smaller than the sum of its proper divisors (48687791526120).

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

20142243231000 is a wasteful number, since it uses less digits than its factorization.

20142243231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432043 (or 2432029 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20142243231000 its reverse (13234224102), we get a palindrome (20155477455102).

The spelling of 20142243231000 in words is "twenty trillion, one hundred forty-two billion, two hundred forty-three million, two hundred thirty-one thousand".