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142461672345 = 3351955540613
BaseRepresentation
bin1000010010101101100…
…0001001101110011001
3111121201101202210101000
42010223120021232121
54313230142003340
6145240200015213
713202222143416
oct2045330115631
9447641683330
10142461672345
1155465999aa3
122373a161509
1310584891b55
146c7654310d
153a8bdcad30
hex212b609b99

142461672345 has 32 divisors (see below), whose sum is σ = 266594947200. Its totient is φ = 71980633152.

The previous prime is 142461672343. The next prime is 142461672347. The reversal of 142461672345 is 543276164241.

142461672345 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 616 + 7 + 23 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (142461672343) and next prime (142461672347).

It is not a de Polignac number, because 142461672345 - 21 = 142461672343 is a prime.

It is a super-3 number, since 3×1424616723453 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 142461672345.

It is not an unprimeable number, because it can be changed into a prime (142461672343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27767742 + ... + 27772871.

It is an arithmetic number, because the mean of its divisors is an integer number (8331092100).

Almost surely, 2142461672345 is an apocalyptic number.

142461672345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142461672345 is a deficient number, since it is larger than the sum of its proper divisors (124133274855).

142461672345 is a wasteful number, since it uses less digits than its factorization.

142461672345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55540646 (or 55540640 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 142461672345 in words is "one hundred forty-two billion, four hundred sixty-one million, six hundred seventy-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 55540613 166621839 277703065 499865517 833109195 1055271647 1499596551 2499327585 3165814941 5276358235 7497982755 9497444823 15829074705 28492334469 47487224115 142461672345