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12315440403342 = 2332415003189151
BaseRepresentation
bin1011001100110110100101…
…1100110101001110001110
31121121100022012211220001000
42303031221130311032032
53103234010220401332
642105345112401130
72410522044134136
oct263155134651616
947540265756030
1012315440403342
113a18a4905471a
12146a9940a61a6
136b445838411b
143080db625ac6
15165545dd8b7c
hexb336973538e

12315440403342 has 64 divisors (see below), whose sum is σ = 27486842296320. Its totient is φ = 4087274256000.

The previous prime is 12315440403293. The next prime is 12315440403367. The reversal of 12315440403342 is 24330404451321.

12315440403342 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 544 + 0 + 40 + 33 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12315440403297 and 12315440403306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65014467 + ... + 65203617.

It is an arithmetic number, because the mean of its divisors is an integer number (429481910880).

Almost surely, 212315440403342 is an apocalyptic number.

12315440403342 is an abundant number, since it is smaller than the sum of its proper divisors (15171401892978).

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

12315440403342 is a wasteful number, since it uses less digits than its factorization.

12315440403342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194406 (or 194400 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 12315440403342 its reverse (24330404451321), we get a palindrome (36645844854663).

The spelling of 12315440403342 in words is "twelve trillion, three hundred fifteen billion, four hundred forty million, four hundred three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 241 482 723 1446 2169 4338 5003 6507 10006 13014 15009 30018 45027 90054 135081 189151 270162 378302 567453 1134906 1205723 1702359 2411446 3404718 3617169 5107077 7234338 10214154 10851507 21703014 32554521 45585391 65109042 91170782 136756173 273512346 410268519 820537038 946322453 1230805557 1892644906 2461611114 2838967359 5677934718 8516902077 17033804154 25550706231 51101412462 228063711173 456127422346 684191133519 1368382267038 2052573400557 4105146801114 6157720201671 12315440403342