Search a number
-
+
342145371135321 = 32134195477470919
BaseRepresentation
bin100110111001011011110110…
…1010011101101110101011001
31122212102210000012011021101200
41031302313231103231311121
5324321202210002312241
63211403225201304413
7132032121152360625
oct11562675523556531
91585383005137350
10342145371135321
119a022045326a26
123245a094635109
13118bb2297ca7c0
14606bcd24a0185
152984ebda924b6
hex1372ded4edd59

342145371135321 has 48 divisors (see below), whose sum is σ = 545264438759040. Its totient is φ = 205394063696640.

The previous prime is 342145371135313. The next prime is 342145371135331. The reversal of 342145371135321 is 123531173541243.

342145371135321 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 45 + 3 + 71 + 1 + 3 + 532 + 1 = 666.

It is not a de Polignac number, because 342145371135321 - 23 = 342145371135313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (342145371135331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42061500 + ... + 49532418.

It is an arithmetic number, because the mean of its divisors is an integer number (11359675807480).

Almost surely, 2342145371135321 is an apocalyptic number.

It is an amenable number.

342145371135321 is a deficient number, since it is larger than the sum of its proper divisors (203119067623719).

342145371135321 is a wasteful number, since it uses less digits than its factorization.

342145371135321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480526 (or 7480523 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 342145371135321 in words is "three hundred forty-two trillion, one hundred forty-five billion, three hundred seventy-one million, one hundred thirty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 9547 28641 85923 124111 372333 391427 1116999 1174281 3522843 5088551 7470919 15265653 22412757 45796959 67238271 97121947 291365841 306307679 874097523 918923037 2756769111 3981999827 11945999481 35837998443 71324863693 213974591079 641923773237 927223228009 2781669684027 2924319411413 8345009052081 8772958234239 26318874702717 38016152348369 114048457045107 342145371135321