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20441442400031 = 293451920419981
BaseRepresentation
bin1001010010111011001001…
…11010011011011100011111
32200101011221021012221000102
410221131210322123130133
510134403033223300111
6111250400300451315
74206562666351412
oct451354472333437
980334837187012
1020441442400031
116571192366a14
122361831849b3b
13b5380977a173
1450952a3b9b79
15256adebd413b
hex129764e9b71f

20441442400031 has 8 divisors (see below), whose sum is σ = 21146933359200. Its totient is φ = 19735992349920.

The previous prime is 20441442400003. The next prime is 20441442400039. The reversal of 20441442400031 is 13000424414402.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20441442400031 - 218 = 20441442137887 is a prime.

It is a super-2 number, since 2×204414424000312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20441442399967 and 20441442400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20441442400039) 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, 9208940 + ... + 11211041.

It is an arithmetic number, because the mean of its divisors is an integer number (2643366669900).

Almost surely, 220441442400031 is an apocalyptic number.

20441442400031 is a deficient number, since it is larger than the sum of its proper divisors (705490959169).

20441442400031 is a wasteful number, since it uses less digits than its factorization.

20441442400031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20454529.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 20441442400031 its reverse (13000424414402), we get a palindrome (33441866814433).

The spelling of 20441442400031 in words is "twenty trillion, four hundred forty-one billion, four hundred forty-two million, four hundred thousand, thirty-one".

Divisors: 1 29 34519 1001051 20419981 592179449 704877324139 20441442400031