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40114404024331 = 7213232737997681
BaseRepresentation
bin10010001111011110111001…
…10011010110000000001011
312021000220021210021121022211
421013233130303112000023
520224213244412234311
6221152145223325551
711310112220153200
oct1107573463260013
9167026253247284
1040114404024331
111186647232290a
1245ba5348b08b7
13194ca06306310
149c9794543ca7
15498703795821
hex247bdccd600b

40114404024331 has 24 divisors (see below), whose sum is σ = 52438131605664. Its totient is φ = 30358918275840.

The previous prime is 40114404024311. The next prime is 40114404024341. The reversal of 40114404024331 is 13342040441104.

40114404024331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40114404024331 - 213 = 40114404016139 is a prime.

It is a super-2 number, since 2×401144040243312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40114404024293 and 40114404024302.

It is not an unprimeable number, because it can be changed into a prime (40114404024311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368984190 + ... + 1369013491.

It is an arithmetic number, because the mean of its divisors is an integer number (2184922150236).

Almost surely, 240114404024331 is an apocalyptic number.

40114404024331 is a deficient number, since it is larger than the sum of its proper divisors (12323727581333).

40114404024331 is a wasteful number, since it uses less digits than its factorization.

40114404024331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737997731 (or 2737997724 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 40114404024331 its reverse (13342040441104), we get a palindrome (53456444465435).

The spelling of 40114404024331 in words is "forty trillion, one hundred fourteen billion, four hundred four million, twenty-four thousand, three hundred thirty-one".

Divisors: 1 7 13 23 49 91 161 299 637 1127 2093 14651 2737997681 19165983767 35593969853 62973946663 134161886369 249157788971 440817626641 818661306619 1744104522797 3085723386487 5730629146333 40114404024331