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40033431321 = 3132299972731
BaseRepresentation
bin100101010010001011…
…011010111100011001
310211022222222000122120
4211102023122330121
51123442024300241
630220251211453
72615031360132
oct452213327431
9124288860576
1040033431321
1115a83912534
127913146b89
133a0cc89300
141d1abd0c89
1510948dc666
hex9522daf19

40033431321 has 48 divisors (see below), whose sum is σ = 59874730560. Its totient is φ = 23753882880.

The previous prime is 40033431313. The next prime is 40033431323. The reversal of 40033431321 is 12313433004.

40033431321 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 40033431321 - 23 = 40033431313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40033431291 and 40033431300.

It is not an unprimeable number, because it can be changed into a prime (40033431323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14657526 + ... + 14660256.

It is an arithmetic number, because the mean of its divisors is an integer number (1247390220).

Almost surely, 240033431321 is an apocalyptic number.

It is an amenable number.

40033431321 is a deficient number, since it is larger than the sum of its proper divisors (19841299239).

40033431321 is a wasteful number, since it uses less digits than its factorization.

40033431321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 40033431321 its reverse (12313433004), we get a palindrome (52346864325).

The spelling of 40033431321 in words is "forty billion, thirty-three million, four hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 13 29 39 87 169 377 507 997 1131 2731 2991 4901 8193 12961 14703 28913 35503 38883 79199 86739 106509 168493 237597 375869 461539 505479 1029587 1127607 1384617 2722807 3088761 4886297 8168421 13384631 14658891 35396491 40153893 78961403 106189473 236884209 460154383 1026498239 1380463149 3079494717 13344477107 40033431321