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140332430040 = 233511615932939
BaseRepresentation
bin1000001010110001110…
…1101111001011011000
3111102020000020002000220
42002230131233023120
54244400100230130
6144245015000040
713065365655045
oct2025435571330
9442200202026
10140332430040
1154572aa8810
1223245069020
1310305705b6a
146b138441cc
1539b4ed9410
hex20ac76f2d8

140332430040 has 256 divisors, whose sum is σ = 467745062400. Its totient is φ = 33394483200.

The previous prime is 140332430003. The next prime is 140332430057. The reversal of 140332430040 is 40034233041.

140332430040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 47746891 + ... + 47749829.

It is an arithmetic number, because the mean of its divisors is an integer number (1827129150).

Almost surely, 2140332430040 is an apocalyptic number.

140332430040 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 140332430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233872531200).

140332430040 is an abundant number, since it is smaller than the sum of its proper divisors (327412632360).

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

140332430040 is a wasteful number, since it uses less digits than its factorization.

140332430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 140332430040 its reverse (40034233041), we get a palindrome (180366663081).

The spelling of 140332430040 in words is "one hundred forty billion, three hundred thirty-two million, four hundred thirty thousand, forty".