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5441440332040 = 2353721291726937
BaseRepresentation
bin100111100101110111100…
…0111100011100100001000
3201021012022022222111000121
41033023233013203210020
51203123032211111130
615323432502513024
71101062651446546
oct117135707434410
921235268874017
105441440332040
11180877a233759
1273a707435774
13306182cb532b
1414b51d526d96
15968272b1d7a
hex4f2ef1e3908

5441440332040 has 64 divisors (see below), whose sum is σ = 12580052554800. Its totient is φ = 2116753809408.

The previous prime is 5441440332017. The next prime is 5441440332047. The reversal of 5441440332040 is 402330441445.

It can be written as a sum of positive squares in 8 ways, for example, as 4396477981284 + 1044962350756 = 2096778^2 + 1022234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5441440331987 and 5441440332005.

It is not an unprimeable number, because it can be changed into a prime (5441440332047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2287452 + ... + 4014388.

Almost surely, 25441440332040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5441440332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290026277400).

5441440332040 is an abundant number, since it is smaller than the sum of its proper divisors (7138612222760).

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

5441440332040 is a wasteful number, since it uses less digits than its factorization.

5441440332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729114 (or 1729110 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 5441440332040 its reverse (402330441445), we get a palindrome (5843770773485).

The spelling of 5441440332040 in words is "five trillion, four hundred forty-one billion, four hundred forty million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2129 4258 8516 10645 17032 21290 42580 78773 85160 157546 315092 393865 630184 787730 1575460 1726937 3150920 3453874 6907748 8634685 13815496 17269370 34538740 63896669 69077480 127793338 255586676 319483345 511173352 638966690 1277933380 2555866760 3676648873 7353297746 14706595492 18383244365 29413190984 36766488730 73532977460 136036008301 147065954920 272072016602 544144033204 680180041505 1088288066408 1360360083010 2720720166020 5441440332040