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20441340340 = 22561157106721
BaseRepresentation
bin10011000010011001…
…100001100110110100
31221202120222200101021
4103002121201212310
5313330440342330
613220212510524
71322361345301
oct230231414664
957676880337
1020441340340
11873a670603
123b6591b444
131c09c61b75
14dbcb6c0a8
157e989867a
hex4c26619b4

20441340340 has 48 divisors (see below), whose sum is σ = 43908845904. Its totient is φ = 7991193600.

The previous prime is 20441340331. The next prime is 20441340371. The reversal of 20441340340 is 4304314402.

It can be written as a sum of positive squares in 8 ways, for example, as 3071154724 + 17370185616 = 55418^2 + 131796^2 .

It is a super-2 number, since 2×204413403402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138180 + ... + 244900.

It is an arithmetic number, because the mean of its divisors is an integer number (914767623).

Almost surely, 220441340340 is an apocalyptic number.

20441340340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20441340340 is an abundant number, since it is smaller than the sum of its proper divisors (23467505564).

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

20441340340 is a wasteful number, since it uses less digits than its factorization.

20441340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106948 (or 106946 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 20441340340 its reverse (4304314402), we get a palindrome (24745654742).

The spelling of 20441340340 in words is "twenty billion, four hundred forty-one million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 157 244 305 314 610 628 785 1220 1570 3140 9577 19154 38308 47885 95770 106721 191540 213442 426884 533605 1067210 2134420 6509981 13019962 16755197 26039924 32549905 33510394 65099810 67020788 83775985 130199620 167551970 335103940 1022067017 2044134034 4088268068 5110335085 10220670170 20441340340