Search a number
-
+
1041431020422 = 2313101357137019
BaseRepresentation
bin11110010011110100010…
…00000100001110000110
310200120010010012022221220
433021322020010032012
5114030322320123142
62114232105021210
7135145426421022
oct17117210041606
93616103168856
101041431020422
1137173972a841
12149a05184806
137728b96b140
1438596abd382
151c153bbe2ec
hexf27a204386

1041431020422 has 64 divisors (see below), whose sum is σ = 2265986499840. Its totient is φ = 317170224000.

The previous prime is 1041431020417. The next prime is 1041431020459. The reversal of 1041431020422 is 2240201341401.

It is a junction number, because it is equal to n+sod(n) for n = 1041431020392 and 1041431020401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28113829 + ... + 28150847.

It is an arithmetic number, because the mean of its divisors is an integer number (35406039060).

Almost surely, 21041431020422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041431020422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132993249920).

1041431020422 is an abundant number, since it is smaller than the sum of its proper divisors (1224555479418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1041431020422 is a wasteful number, since it uses less digits than its factorization.

1041431020422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40709.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1041431020422 its reverse (2240201341401), we get a palindrome (3281632361823).

The spelling of 1041431020422 in words is "one trillion, forty-one billion, four hundred thirty-one million, twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 101 202 303 606 1313 2626 3571 3939 7142 7878 10713 21426 37019 46423 74038 92846 111057 139269 222114 278538 360671 481247 721342 962494 1082013 1443741 2164026 2887482 3738919 4688723 7477838 9377446 11216757 14066169 22433514 28132338 48605947 97211894 132194849 145817841 264389698 291635682 396584547 793169094 1718533037 3437066074 5155599111 10311198222 13351679749 26703359498 40055039247 80110078494 173571836737 347143673474 520715510211 1041431020422