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140322440440 = 2357131392691031
BaseRepresentation
bin1000001010101111011…
…1101000010011111000
3111102012022102112212201
42002223313220103320
54244340021043230
6144244020515544
713065215030620
oct2025367502370
9442168375781
10140322440440
11545683a5446
122324184bbb4
1310303618c60
146b123a3880
1539b41b45ca
hex20abde84f8

140322440440 has 256 divisors, whose sum is σ = 393216768000. Its totient is φ = 43883735040.

The previous prime is 140322440431. The next prime is 140322440441. The reversal of 140322440440 is 44044223041.

140322440440 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 140322440399 and 140322440408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140322440441) by changing a digit.

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, 136102725 + ... + 136103755.

It is an arithmetic number, because the mean of its divisors is an integer number (1536003000).

Almost surely, 2140322440440 is an apocalyptic number.

140322440440 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 140322440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196608384000).

140322440440 is an abundant number, since it is smaller than the sum of its proper divisors (252894327560).

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

140322440440 is a wasteful number, since it uses less digits than its factorization.

140322440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 140322440440 its reverse (44044223041), we get a palindrome (184366663481).

The spelling of 140322440440 in words is "one hundred forty billion, three hundred twenty-two million, four hundred forty thousand, four hundred forty".