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4422054401440 = 255132125987693
BaseRepresentation
bin100000001011001011011…
…1110110101010110100000
3120122202002120111202010221
41000112112332311112200
51034422331411321230
613223244100332424
7634324426141444
oct100262676652640
916582076452127
104422054401440
111455423477215
125b50350a4114
13260cc8625650
141140585a4824
157a063b7b27a
hex40596fb55a0

4422054401440 has 48 divisors (see below), whose sum is σ = 11250726876648. Its totient is φ = 1632758547456.

The previous prime is 4422054401437. The next prime is 4422054401461. The reversal of 4422054401440 is 441044502244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1535983465104 + 2886070936336 = 1239348^2 + 1698844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4422054401396 and 4422054401405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1062991767 + ... + 1062995926.

Almost surely, 24422054401440 is an apocalyptic number.

4422054401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4422054401440 is an abundant number, since it is smaller than the sum of its proper divisors (6828672475208).

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

4422054401440 is a wasteful number, since it uses less digits than its factorization.

4422054401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125987721 (or 2125987713 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 34.

Adding to 4422054401440 its reverse (441044502244), we get a palindrome (4863098903684).

The spelling of 4422054401440 in words is "four trillion, four hundred twenty-two billion, fifty-four million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2125987693 4251975386 8503950772 10629938465 17007901544 21259876930 27637840009 34015803088 42519753860 55275680018 68031606176 85039507720 110551360036 138189200045 170079015440 221102720072 276378400090 340158030880 442205440144 552756800180 884410880288 1105513600360 2211027200720 4422054401440