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515140241334342 = 231313752392174039
BaseRepresentation
bin111010100100001000110111…
…1000110000010000001000110
32111112221221000010201221220020
41311020101233012002001012
51020010024203240144332
65023340054305520010
7213335440256054331
oct16510215706020106
92445857003657806
10515140241334342
1113a159827611558
1249939768643006
1319159693472730
14912ccc6621618
153e84ea705582c
hex1d4846f182046

515140241334342 has 64 divisors (see below), whose sum is σ = 1119768582320640. Its totient is φ = 157046863336704.

The previous prime is 515140241334233. The next prime is 515140241334343. The reversal of 515140241334342 is 243433142041515.

It is a junction number, because it is equal to n+sod(n) for n = 515140241334294 and 515140241334303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515140241334343) 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 31 ways as a sum of consecutive naturals, for example, 40498242 + ... + 51675797.

It is an arithmetic number, because the mean of its divisors is an integer number (17496384098760).

Almost surely, 2515140241334342 is an apocalyptic number.

515140241334342 is an abundant number, since it is smaller than the sum of its proper divisors (604628340986298).

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

515140241334342 is a wasteful number, since it uses less digits than its factorization.

515140241334342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92174717.

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 515140241334342 its reverse (243433142041515), we get a palindrome (758573383375857).

The spelling of 515140241334342 in words is "five hundred fifteen trillion, one hundred forty billion, two hundred forty-one million, three hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 137 274 411 523 822 1046 1569 1781 3138 3562 5343 6799 10686 13598 20397 40794 71651 143302 214953 429906 931463 1862926 2794389 5588778 92174039 184348078 276522117 553044234 1198262507 2396525014 3594787521 7189575042 12627843343 25255686686 37883530029 48207022397 75767060058 96414044794 144621067191 164161963459 289242134382 328323926918 492485890377 626691291161 984971780754 1253382582322 1880073873483 3760147746966 6604362068389 13208724136778 19813086205167 39626172410334 85856706889057 171713413778114 257570120667171 515140241334342