Search a number
-
+
10435040431 = 193440912263
BaseRepresentation
bin10011011011111101…
…00001010010101111
3222221020100222101221
421231332201102233
5132332332243211
64443243044211
7516406244254
oct115576412257
928836328357
1010435040431
114475343362
122032810667
13ca3b7a04a
1470dc4942b
15411193c71
hex26dfa14af

10435040431 has 8 divisors (see below), whose sum is σ = 10492342560. Its totient is φ = 10377772032.

The previous prime is 10435040393. The next prime is 10435040459. The reversal of 10435040431 is 13404053401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10435040431 - 219 = 10434516143 is a prime.

It is a super-2 number, since 2×104350404312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10435040396 and 10435040405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10435040461) 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, 844806 + ... + 857068.

It is an arithmetic number, because the mean of its divisors is an integer number (1311542820).

Almost surely, 210435040431 is an apocalyptic number.

10435040431 is a deficient number, since it is larger than the sum of its proper divisors (57302129).

10435040431 is a wasteful number, since it uses less digits than its factorization.

10435040431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16865.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10435040431 its reverse (13404053401), we get a palindrome (23839093832).

The spelling of 10435040431 in words is "ten billion, four hundred thirty-five million, forty thousand, four hundred thirty-one".

Divisors: 1 193 4409 12263 850937 2366759 54067567 10435040431