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2020444120431 = 3211172261353089
BaseRepresentation
bin11101011001101011110…
…110101010010101101111
321011011010020001202220200
4131121223312222111233
5231100332143323211
64144102413244543
7265654326442512
oct35315366522557
97134106052820
102020444120431
11709958040090
122876aa793753
131186b0c5a759
146db0bb42d79
1537852c24b56
hex1d66bdaa56f

2020444120431 has 48 divisors (see below), whose sum is σ = 3371220946080. Its totient is φ = 1152408821760.

The previous prime is 2020444120411. The next prime is 2020444120439. The reversal of 2020444120431 is 1340214440202.

2020444120431 is a `hidden beast` number, since 2 + 0 + 204 + 4 + 4 + 1 + 20 + 431 = 666.

It is not a de Polignac number, because 2020444120431 - 227 = 2020309902703 is a prime.

It is a super-2 number, since 2×20204441204312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2020444120395 and 2020444120404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020444120439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38031135 + ... + 38084223.

It is an arithmetic number, because the mean of its divisors is an integer number (70233769710).

Almost surely, 22020444120431 is an apocalyptic number.

2020444120431 is a deficient number, since it is larger than the sum of its proper divisors (1350776825649).

2020444120431 is a wasteful number, since it uses less digits than its factorization.

2020444120431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75736 (or 75733 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2020444120431 its reverse (1340214440202), we get a palindrome (3360658560633).

The spelling of 2020444120431 in words is "two trillion, twenty billion, four hundred forty-four million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 22613 53089 67839 159267 203517 248743 384421 477801 583979 746229 902513 1153263 1751937 2238687 2707539 3459789 4228631 5255811 8122617 9927643 12685893 29782929 38057679 89348787 1200501557 3601504671 10804514013 13205517127 20408526469 39616551381 61225579407 118849654143 183676738221 224493791159 673481373477 2020444120431