Search a number
-
+
40441021412031 = 331497815607853
BaseRepresentation
bin10010011000111111010001…
…01101110011001010111111
312022012010100022112000201000
421030133220231303022333
520300041202440141111
6222002203155421343
711342524132146132
oct1114375055631277
9168163308460630
1040441021412031
1111981a39323489
1246518a82b4853
131974758781576
149db4da76c219
154a1e6cb0cc56
hex24c7e8b732bf

40441021412031 has 8 divisors (see below), whose sum is σ = 59912624314160. Its totient is φ = 26960680941336.

The previous prime is 40441021411961. The next prime is 40441021412039. The reversal of 40441021412031 is 13021412014404.

40441021412031 is a `hidden beast` number, since 4 + 0 + 4 + 410 + 2 + 1 + 41 + 203 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-40441021412031 is a prime.

It is a super-2 number, since 2×404410214120312 (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), and also a Moran number because the ratio is a prime number: 1497815607853 = 40441021412031 / (4 + 0 + 4 + 4 + 1 + 0 + 2 + 1 + 4 + 1 + 2 + 0 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40441021411986 and 40441021412004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40441021412039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 748907803900 + ... + 748907803953.

It is an arithmetic number, because the mean of its divisors is an integer number (7489078039270).

Almost surely, 240441021412031 is an apocalyptic number.

40441021412031 is a deficient number, since it is larger than the sum of its proper divisors (19471602902129).

40441021412031 is a wasteful number, since it uses less digits than its factorization.

40441021412031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497815607862 (or 1497815607856 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40441021412031 its reverse (13021412014404), we get a palindrome (53462433426435).

The spelling of 40441021412031 in words is "forty trillion, four hundred forty-one billion, twenty-one million, four hundred twelve thousand, thirty-one".

Divisors: 1 3 9 27 1497815607853 4493446823559 13480340470677 40441021412031