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140234424000 = 26353112831877
BaseRepresentation
bin1000001010011010011…
…1110111111011000000
3111101222011210212000120
42002212213313323000
54244200003032000
6144231154220240
713063065636126
oct2024647677300
9441864725016
10140234424000
1154522749390
1223218284680
13102bb30cb18
146b04811916
1539ab5ca6a0
hex20a69f7ec0

140234424000 has 448 divisors, whose sum is σ = 507204951552. Its totient is φ = 33858048000.

The previous prime is 140234423999. The next prime is 140234424017. The reversal of 140234424000 is 424432041.

It is a happy number.

140234424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1402344240002 (a number of 23 digits) contains 22 as substring.

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

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, 74711062 + ... + 74712938.

Almost surely, 2140234424000 is an apocalyptic number.

140234424000 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 140234424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253602475776).

140234424000 is an abundant number, since it is smaller than the sum of its proper divisors (366970527552).

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

140234424000 is a wasteful number, since it uses less digits than its factorization.

140234424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2181 counting only the distinct ones).

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

Adding to 140234424000 its reverse (424432041), we get a palindrome (140658856041).

The spelling of 140234424000 in words is "one hundred forty billion, two hundred thirty-four million, four hundred twenty-four thousand".