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15042233431341 = 322981177100293
BaseRepresentation
bin1101101011100100101011…
…1110101111010100101101
31222021000122002222222120100
43122321022332233110231
53432422443224300331
651554150122341313
73111523365346044
oct332711276572455
958230562888510
1015042233431341
11487a414692646
12182b35165a839
13851626c0a43c
143a009594355b
151b143a26dae6
hexdae4afaf52d

15042233431341 has 24 divisors (see below), whose sum is σ = 22479672809880. Its totient is φ = 9681162938496.

The previous prime is 15042233431327. The next prime is 15042233431343. The reversal of 15042233431341 is 14313433224051.

15042233431341 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 2 + 2 + 334 + 313 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1869536636100 + 13172696795241 = 1367310^2 + 3629421^2 .

It is not a de Polignac number, because 15042233431341 - 210 = 15042233430317 is a prime.

It is a super-2 number, since 2×150422334313412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15042233431296 and 15042233431305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15042233431343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1431610 + ... + 5668683.

It is an arithmetic number, because the mean of its divisors is an integer number (936653033745).

Almost surely, 215042233431341 is an apocalyptic number.

It is an amenable number.

15042233431341 is a deficient number, since it is larger than the sum of its proper divisors (7437439378539).

15042233431341 is a wasteful number, since it uses less digits than its factorization.

15042233431341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108445 (or 7108442 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 15042233431341 its reverse (14313433224051), we get a palindrome (29355666655392).

The spelling of 15042233431341 in words is "fifteen trillion, forty-two billion, two hundred thirty-three million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 9 29 87 261 8117 24351 73053 235393 706179 2118537 7100293 21300879 63902637 205908497 617725491 1853176473 57633078281 172899234843 518697704529 1671359270149 5014077810447 15042233431341