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3135005742339 = 322347322233091
BaseRepresentation
bin101101100111101100111…
…001110101010100000011
3102002200222221101120122100
4231213230321311110003
5402330442432223324
610400111325041443
7442332236063322
oct55475471652403
912080887346570
103135005742339
11aa9604015149
124277030b6283
131998257c3c43
14aba4111a0b9
1556836c954c9
hex2d9ece75503

3135005742339 has 24 divisors (see below), whose sum is σ = 4825762785792. Its totient is φ = 1956599322480.

The previous prime is 3135005742329. The next prime is 3135005742353. The reversal of 3135005742339 is 9332475005313.

3135005742339 is a `hidden beast` number, since 3 + 1 + 3 + 50 + 0 + 574 + 23 + 3 + 9 = 666.

It is not a de Polignac number, because 3135005742339 - 29 = 3135005741827 is a prime.

It is a super-2 number, since 2×31350057423392 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3135005742294 and 3135005742303.

It is not an unprimeable number, because it can be changed into a prime (3135005742329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161106817 + ... + 161126274.

It is an arithmetic number, because the mean of its divisors is an integer number (201073449408).

Almost surely, 23135005742339 is an apocalyptic number.

3135005742339 is a deficient number, since it is larger than the sum of its proper divisors (1690757043453).

3135005742339 is a wasteful number, since it uses less digits than its factorization.

3135005742339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322233167 (or 322233164 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 3135005742339 in words is "three trillion, one hundred thirty-five billion, five million, seven hundred forty-two thousand, three hundred thirty-nine".

Divisors: 1 3 9 23 47 69 141 207 423 1081 3243 9729 322233091 966699273 2900097819 7411361093 15144955277 22234083279 45434865831 66702249837 136304597493 348333971371 1045001914113 3135005742339