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1040420312244 = 2232162117828849
BaseRepresentation
bin11110010001111011110…
…00100001010010110100
310200110111200101000222200
433020331320201102310
5114021240044442434
62113543522024500
7135111404510655
oct17107570412264
93613450330880
101040420312244
11371270162825
121497827a8130
137715a451c71
14384dc78552c
151c0e50c5199
hexf23de214b4

1040420312244 has 36 divisors (see below), whose sum is σ = 2631573917700. Its totient is φ = 346592805120.

The previous prime is 1040420312201. The next prime is 1040420312249. The reversal of 1040420312244 is 4422130240401.

1040420312244 is a `hidden beast` number, since 1 + 0 + 404 + 2 + 0 + 3 + 12 + 244 = 666.

1040420312244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 958245210000 + 82175102244 = 978900^2 + 286662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10404203122442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040420312249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8856069 + ... + 8972780.

Almost surely, 21040420312244 is an apocalyptic number.

It is an amenable number.

1040420312244 is an abundant number, since it is smaller than the sum of its proper divisors (1591153605456).

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

1040420312244 is a wasteful number, since it uses less digits than its factorization.

1040420312244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17830480 (or 17830475 counting only the distinct ones).

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

Adding to 1040420312244 its reverse (4422130240401), we get a palindrome (5462550552645).

The spelling of 1040420312244 in words is "one trillion, forty billion, four hundred twenty million, three hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1621 3242 4863 6484 9726 14589 19452 29178 58356 17828849 35657698 53486547 71315396 106973094 160459641 213946188 320919282 641838564 28900564229 57801128458 86701692687 115602256916 173403385374 260105078061 346806770748 520210156122 1040420312244