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40412101431 = 3132967533303
BaseRepresentation
bin100101101000101111…
…111011101100110111
310212022101111110101110
4211220233323230313
51130230444221211
630322015330103
72630310123462
oct455057735467
9125271443343
1040412101431
1116158639a39
1279b9b20933
133a70570070
141d552022d9
1510b7c8aea6
hex968bfbb37

40412101431 has 32 divisors (see below), whose sum is σ = 60924648960. Its totient is φ = 23653010304.

The previous prime is 40412101391. The next prime is 40412101441. The reversal of 40412101431 is 13410121404.

It is not a de Polignac number, because 40412101431 - 215 = 40412068663 is a prime.

It is a super-2 number, since 2×404121014312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40412101398 and 40412101407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40412101441) 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 31 ways as a sum of consecutive naturals, for example, 190875 + ... + 342428.

It is an arithmetic number, because the mean of its divisors is an integer number (1903895280).

Almost surely, 240412101431 is an apocalyptic number.

40412101431 is a deficient number, since it is larger than the sum of its proper divisors (20512547529).

40412101431 is a wasteful number, since it uses less digits than its factorization.

40412101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533415.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 40412101431 its reverse (13410121404), we get a palindrome (53822222835).

The spelling of 40412101431 in words is "forty billion, four hundred twelve million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 3 13 29 39 67 87 201 377 871 1131 1943 2613 5829 25259 75777 533303 1599909 6932939 15465787 20798817 35731301 46397361 107193903 201055231 464506913 603165693 1036207729 1393520739 3108623187 13470700477 40412101431