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40424022144020 = 225166910133119513
BaseRepresentation
bin10010011000011111100110…
…11110101111010000010100
312022010111110121101201220002
421030033303132233100110
520244301344132102040
6221550312302230432
711341352644564034
oct1114176336572024
9168114417351802
1040424022144020
1111975805714859
12464a543285418
131972c799863b8
149da766bdd8c4
154a17c552ca15
hex24c3f37af414

40424022144020 has 48 divisors (see below), whose sum is σ = 84950403002640. Its totient is φ = 16158190672896.

The previous prime is 40424022143987. The next prime is 40424022144031. The reversal of 40424022144020 is 2044122042404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34590792196 + 40389431351824 = 185986^2 + 6355268^2 .

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, 338179784 + ... + 338299296.

It is an arithmetic number, because the mean of its divisors is an integer number (1769800062555).

Almost surely, 240424022144020 is an apocalyptic number.

It is an amenable number.

40424022144020 is an abundant number, since it is smaller than the sum of its proper divisors (44526380858620).

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

40424022144020 is a wasteful number, since it uses less digits than its factorization.

40424022144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131324 (or 131322 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 40424022144020 its reverse (2044122042404), we get a palindrome (42468144186424).

The spelling of 40424022144020 in words is "forty trillion, four hundred twenty-four billion, twenty-two million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 1669 3338 6676 8345 10133 16690 20266 33380 40532 50665 101330 119513 202660 239026 478052 597565 1195130 2390260 16911977 33823954 67647908 84559885 169119770 199467197 338239540 398934394 797868788 997335985 1211025229 1994671970 2422050458 3989343940 4844100916 6055126145 12110252290 24220504580 2021201107201 4042402214402 8084804428804 10106005536005 20212011072010 40424022144020