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4040214103431 = 32111719126347503
BaseRepresentation
bin111010110010101111100…
…001101100010110000111
3112022020111110121211010100
4322302233201230112013
51012143324302302211
612332014305455143
7564616162151142
oct72625741542607
915266443554110
104040214103431
1113184995957a0
1255302b6414b3
13233cb53327cc
14dd794121059
1570166685156
hex3acaf86c587

4040214103431 has 48 divisors (see below), whose sum is σ = 7095675824640. Its totient is φ = 2183284834560.

The previous prime is 4040214103427. The next prime is 4040214103451. The reversal of 4040214103431 is 1343014120404.

4040214103431 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 214 + 10 + 3 + 431 = 666.

It is not a de Polignac number, because 4040214103431 - 22 = 4040214103427 is a prime.

It is a super-2 number, since 2×40402141034312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4040214103395 and 4040214103404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040214103451) 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 47 ways as a sum of consecutive naturals, for example, 63141775 + ... + 63205728.

It is an arithmetic number, because the mean of its divisors is an integer number (147826579680).

Almost surely, 24040214103431 is an apocalyptic number.

4040214103431 is a deficient number, since it is larger than the sum of its proper divisors (3055461721209).

4040214103431 is a wasteful number, since it uses less digits than its factorization.

4040214103431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126347556 (or 126347553 counting only the distinct ones).

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

Adding to 4040214103431 its reverse (1343014120404), we get a palindrome (5383228223835).

The spelling of 4040214103431 in words is "four trillion, forty billion, two hundred fourteen million, one hundred three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 323 561 627 969 1683 1881 2907 3553 10659 31977 126347503 379042509 1137127527 1389822533 2147907551 2400602557 4169467599 6443722653 7201807671 12508402797 19331167959 21605423013 23626983061 26406628127 40810243469 70880949183 79219884381 122430730407 212642847549 237659653143 367292191221 448912678159 1346738034477 4040214103431