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342431031341333 = 1129149197253114449
BaseRepresentation
bin100110111011100000110111…
…1111110111011000100010101
31122220110002100100020021211202
41031313001233332323010111
5324340342223010410313
63212142351043042245
7132061553115145604
oct11567015776730425
91586402310207752
10342431031341333
119a122204040810
12324a5517670385
131190c1527c88bc
14607ba70d57a3b
15298c63c39d558
hex137706ffbb115

342431031341333 has 64 divisors (see below), whose sum is σ = 391192480800000. Its totient is φ = 296895812505600.

The previous prime is 342431031341309. The next prime is 342431031341363. The reversal of 342431031341333 is 333143130134243.

It is not a de Polignac number, because 342431031341333 - 222 = 342431027147029 is a prime.

It is a super-2 number, since 2×3424310313413332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342431031341303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23699282093 + ... + 23699296541.

It is an arithmetic number, because the mean of its divisors is an integer number (6112382512500).

Almost surely, 2342431031341333 is an apocalyptic number.

It is an amenable number.

342431031341333 is a deficient number, since it is larger than the sum of its proper divisors (48761449458667).

342431031341333 is a wasteful number, since it uses less digits than its factorization.

342431031341333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17366.

The product of its (nonzero) digits is 279936, while the sum is 38.

Adding to 342431031341333 its reverse (333143130134243), we get a palindrome (675574161475576).

The spelling of 342431031341333 in words is "three hundred forty-two trillion, four hundred thirty-one billion, thirty-one million, three hundred forty-one thousand, three hundred thirty-three".

Divisors: 1 11 29 149 197 319 1639 2167 2531 4321 5713 14449 27841 29353 47531 62843 73399 158939 322883 377119 419021 498607 807389 851237 2152901 2846453 4148309 4609231 5484677 9363607 10936451 14459603 23681911 31310983 36570419 62434129 74292443 82547137 120300961 159055633 402274609 424121497 686775419 817216873 908018507 1060542151 2154480847 4665336467 5448992431 7204372543 11665963661 12299523413 23699289317 59938916741 79248097973 135294757543 158020780499 208926803747 1073451508907 1738228585489 2298194841217 11807966597977 31130093758303 342431031341333