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340024324302013 = 1319131193130741659
BaseRepresentation
bin100110101010000000001010…
…1000100001010010010111101
31122120221000012210100011121011
41031110000111010022102331
5324031424304010131023
63203101003530435221
7131422642506641161
oct11524002504122275
91576830183304534
10340024324302013
119938456271a72a
1232176baa292b11
1311796205224ca0
145dd739d648ca1
152949c2dc7b50d
hex135401510a4bd

340024324302013 has 64 divisors (see below), whose sum is σ = 390715555507200. Its totient is φ = 293318816993280.

The previous prime is 340024324301989. The next prime is 340024324302053. The reversal of 340024324302013 is 310203423420043.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-340024324302013 is a prime.

It is a super-4 number, since 4×3400243243020134 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340024324302053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8162064778 + ... + 8162106436.

It is an arithmetic number, because the mean of its divisors is an integer number (6104930554800).

Almost surely, 2340024324302013 is an apocalyptic number.

It is an amenable number.

340024324302013 is a deficient number, since it is larger than the sum of its proper divisors (50691231205187).

340024324302013 is a wasteful number, since it uses less digits than its factorization.

340024324302013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43322.

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 340024324302013 its reverse (310203423420043), we get a palindrome (650227747722056).

The spelling of 340024324302013 in words is "three hundred forty trillion, twenty-four billion, three hundred twenty-four million, three hundred two thousand, thirteen".

Divisors: 1 13 19 131 193 247 1307 1703 2489 2509 3667 16991 24833 25283 32357 41659 47671 171217 252251 322829 328679 480377 541567 791521 2225821 3253123 3279263 4792769 5457329 6244901 8040187 10289773 33044881 42290599 54448313 62305997 70945277 103689251 104522431 152763553 429583453 627852739 707828069 1034517947 1053264497 1347960263 1985926189 7132729003 8162085607 10508524409 13448733311 13692438461 20012025443 92725477039 135521851057 136610817317 199661963771 260156330759 1376616697579 1761784063741 2595605529023 17896017068527 26155717254001 340024324302013