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140112424023000 = 2335311131013233687
BaseRepresentation
bin11111110110111001110111…
…010000110011001111011000
3200101002121122201212122101220
4133312321313100303033120
5121331100221022214000
61213554431540012040
741340534324516012
oct3766716720631730
9611077581778356
10140112424023000
114070a388701750
121386a887391020
136024711187830
1426856983c51b2
15112e9a43031a0
hex7f6e774333d8

140112424023000 has 512 divisors, whose sum is σ = 518660790036480. Its totient is φ = 31043385600000.

The previous prime is 140112424022983. The next prime is 140112424023001. The reversal of 140112424023000 is 320424211041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140112424023001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41712157 + ... + 44945843.

It is an arithmetic number, because the mean of its divisors is an integer number (1013009355540).

Almost surely, 2140112424023000 is an apocalyptic number.

140112424023000 is a gapful number since it is divisible by the number (10) 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 140112424023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259330395018240).

140112424023000 is an abundant number, since it is smaller than the sum of its proper divisors (378548366013480).

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

140112424023000 is a wasteful number, since it uses less digits than its factorization.

140112424023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233836 (or 3233822 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140112424023000 its reverse (320424211041), we get a palindrome (140432848234041).

The spelling of 140112424023000 in words is "one hundred forty trillion, one hundred twelve billion, four hundred twenty-four million, twenty-three thousand".