Search a number
-
+
17240382431 = 171979675643
BaseRepresentation
bin10000000011100110…
…110101101111011111
31122111111211011121122
4100003212311233133
5240302014214211
611530425121155
71150142555426
oct200346655737
948444734548
1017240382431
117347823548
1234119291bb
131819a4932c
14b979b42bd
156ad85b6db
hex4039b5bdf

17240382431 has 16 divisors (see below), whose sum is σ = 19458547200. Its totient is φ = 15177621888.

The previous prime is 17240382331. The next prime is 17240382437. The reversal of 17240382431 is 13428304271.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17240382431 is a prime.

It is a super-2 number, since 2×172403824312 (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 = 17240382391 and 17240382400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17240382437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312305 + ... + 363338.

It is an arithmetic number, because the mean of its divisors is an integer number (1216159200).

Almost surely, 217240382431 is an apocalyptic number.

17240382431 is a deficient number, since it is larger than the sum of its proper divisors (2218164769).

17240382431 is a wasteful number, since it uses less digits than its factorization.

17240382431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675758.

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 17240382431 in words is "seventeen billion, two hundred forty million, three hundred eighty-two thousand, four hundred thirty-one".

Divisors: 1 17 19 79 323 1343 1501 25517 675643 11485931 12837217 53375797 218232689 907388549 1014140143 17240382431