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440405324132240 = 2455505066551653
BaseRepresentation
bin110010000100010111101101…
…0111001101110111110010000
32010202100100010021001102212002
41210020233122321232332100
5430211100100434212430
64200355225102053132
7161523143326203455
oct14410573271567620
92122310107042762
10440405324132240
11118365938147455
1241489603b7a1a8
1315b980754ac44c
147aa7a3503d82c
1535dae46d74845
hex1908bdae6ef90

440405324132240 has 20 divisors (see below), whose sum is σ = 1023942378607644. Its totient is φ = 176162129652864.

The previous prime is 440405324132237. The next prime is 440405324132261. The reversal of 440405324132240 is 42231423504044.

It can be written as a sum of positive squares in 2 ways, for example, as 190412290608016 + 249993033524224 = 13798996^2 + 15811168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4404053241322402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440405324132194 and 440405324132203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2752533275747 + ... + 2752533275906.

Almost surely, 2440405324132240 is an apocalyptic number.

440405324132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440405324132240 is an abundant number, since it is smaller than the sum of its proper divisors (583537054475404).

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

440405324132240 is a wasteful number, since it uses less digits than its factorization.

440405324132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505066551666 (or 5505066551660 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 440405324132240 its reverse (42231423504044), we get a palindrome (482636747636284).

The spelling of 440405324132240 in words is "four hundred forty trillion, four hundred five billion, three hundred twenty-four million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5505066551653 11010133103306 22020266206612 27525332758265 44040532413224 55050665516530 88081064826448 110101331033060 220202662066120 440405324132240