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140022321023440 = 2452960354448717
BaseRepresentation
bin11111110101100101111100…
…101101001000100111010000
3200100210000002022012000110001
4133311211330231020213100
5121323111203140222230
61213445211040015344
741331164434615132
oct3765457455104720
9610700068160401
10140022321023440
1140685150930559
1213855320001554
136019081c1168b
14268118b955052
15112c47ddcd0ca
hex7f597cb489d0

140022321023440 has 40 divisors (see below), whose sum is σ = 336777823846440. Its totient is φ = 54077586049536.

The previous prime is 140022321023413. The next prime is 140022321023449. The reversal of 140022321023440 is 44320123220041.

It can be written as a sum of positive squares in 4 ways, for example, as 205223496256 + 139817097527184 = 453016^2 + 11824428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 140022321023399 and 140022321023408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140022321023449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30177222039 + ... + 30177226678.

It is an arithmetic number, because the mean of its divisors is an integer number (8419445596161).

Almost surely, 2140022321023440 is an apocalyptic number.

140022321023440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140022321023440 is an abundant number, since it is smaller than the sum of its proper divisors (196755502823000).

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

140022321023440 is a wasteful number, since it uses less digits than its factorization.

140022321023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60354448759 (or 60354448753 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 140022321023440 its reverse (44320123220041), we get a palindrome (184342444243481).

The spelling of 140022321023440 in words is "one hundred forty trillion, twenty-two billion, three hundred twenty-one million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 60354448717 120708897434 241417794868 301772243585 482835589736 603544487170 965671179472 1207088974340 1750279012793 2414177948680 3500558025586 4828355897360 7001116051172 8751395063965 14002232102344 17502790127930 28004464204688 35005580255860 70011160511720 140022321023440