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40424120203131 = 3371911257064941
BaseRepresentation
bin10010011000011111110010…
…10100110011011101111011
312022010111201102220122201000
421030033321110303131323
520244302044233000011
6221550330124100043
711341355245223460
oct1114177124633573
9168114642818630
1040424120203131
1111975856000045
12464a570094623
131972c9409a642
149da775c47667
154a17cde4c356
hex24c3f953377b

40424120203131 has 32 divisors (see below), whose sum is σ = 72045215628800. Its totient is φ = 21883734243360.

The previous prime is 40424120203003. The next prime is 40424120203231. The reversal of 40424120203131 is 13130202142404.

40424120203131 is a `hidden beast` number, since 4 + 0 + 42 + 412 + 0 + 203 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 40424120203131 - 27 = 40424120203003 is a prime.

It is a super-2 number, since 2×404241202031312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40424120203095 and 40424120203104.

It is not an unprimeable number, because it can be changed into a prime (40424120203231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5628528880 + ... + 5628536061.

It is an arithmetic number, because the mean of its divisors is an integer number (2251412988400).

Almost surely, 240424120203131 is an apocalyptic number.

40424120203131 is a deficient number, since it is larger than the sum of its proper divisors (31621095425669).

40424120203131 is a wasteful number, since it uses less digits than its factorization.

40424120203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257064976 (or 11257064970 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40424120203131 its reverse (13130202142404), we get a palindrome (53554322345535).

The spelling of 40424120203131 in words is "forty trillion, four hundred twenty-four billion, one hundred twenty million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 11257064941 33771194823 78799454587 101313584469 213884233879 236398363761 303940753407 641652701637 709195091283 1497189637153 1924958104911 2127585273849 4491568911459 5774874314733 13474706734377 40424120203131