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140703272640 = 2634572139797
BaseRepresentation
bin1000001100001010010…
…0011000111011000000
3111110011212000211110000
42003002210120323000
54301130014211030
6144345503240000
713110521040600
oct2030244307300
9443155024400
10140703272640
11547433692a7
12233292a9000
13103644a8b58
146b4abb8c00
1539d783d860
hex20c2918ec0

140703272640 has 840 divisors, whose sum is σ = 587146024080. Its totient is φ = 31889313792.

The previous prime is 140703272621. The next prime is 140703272641. The reversal of 140703272640 is 46272307041.

140703272640 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 0 + 3 + 2 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140703272595 and 140703272604.

It is not an unprimeable number, because it can be changed into a prime (140703272641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 176540722 + ... + 176541518.

It is an arithmetic number, because the mean of its divisors is an integer number (698983362).

Almost surely, 2140703272640 is an apocalyptic number.

140703272640 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 140703272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293573012040).

140703272640 is an abundant number, since it is smaller than the sum of its proper divisors (446442751440).

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

140703272640 is a wasteful number, since it uses less digits than its factorization.

140703272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 140703272640 its reverse (46272307041), we get a palindrome (186975579681).

The spelling of 140703272640 in words is "one hundred forty billion, seven hundred three million, two hundred seventy-two thousand, six hundred forty".