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140734711040 = 285741123181
BaseRepresentation
bin1000001100010001110…
…0010100010100000000
3111110021001012001211012
42003010130110110000
54301211041223130
6144352545140052
713111352210000
oct2030434242400
9443231161735
10140734711040
115475a091450
122333792a628
131036ab65761
146b51040000
1539da49d995
hex20c4714500

140734711040 has 720 divisors, whose sum is σ = 450141584256. Its totient is φ = 41726361600.

The previous prime is 140734710983. The next prime is 140734711049. The reversal of 140734711040 is 40117437041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 140734710988 and 140734711006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140734711049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 777539750 + ... + 777539930.

Almost surely, 2140734711040 is an apocalyptic number.

140734711040 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 140734711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225070792128).

140734711040 is an abundant number, since it is smaller than the sum of its proper divisors (309406873216).

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

140734711040 is an equidigital number, since it uses as much as digits as its factorization.

140734711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 140734711040 in words is "one hundred forty billion, seven hundred thirty-four million, seven hundred eleven thousand, forty".