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7146142785 = 385317027
BaseRepresentation
bin1101010011111000…
…10111110001000001
3200110000201200000000
412221330113301001
5104113403032120
63141034350213
7342042132345
oct65174276101
920400650000
107146142785
1130378a1931
12147528b369
1389b684272
144bb11d625
152bc585990
hex1a9f17c41

7146142785 has 72 divisors (see below), whose sum is σ = 13279209216. Its totient is φ = 3687806880.

The previous prime is 7146142769. The next prime is 7146142823. The reversal of 7146142785 is 5872416417.

7146142785 is a `hidden beast` number, since 7 + 1 + 4 + 614 + 27 + 8 + 5 = 666.

It is not a de Polignac number, because 7146142785 - 24 = 7146142769 is a prime.

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 7146142785.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1013442 + ... + 1020468.

Almost surely, 27146142785 is an apocalyptic number.

It is an amenable number.

7146142785 is a deficient number, since it is larger than the sum of its proper divisors (6133066431).

7146142785 is an frugal number, since it uses more digits than its factorization.

7146142785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7066 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 7146142785 is about 84534.8613590866. The cubic root of 7146142785 is about 1926.1520318454.

The spelling of 7146142785 in words is "seven billion, one hundred forty-six million, one hundred forty-two thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 243 279 405 465 729 837 1215 1395 2187 2511 3645 4185 6561 7027 7533 10935 12555 21081 22599 32805 35135 37665 63243 67797 105405 112995 189729 203391 217837 316215 338985 569187 653511 948645 1016955 1089185 1707561 1960533 2845935 3267555 5122683 5881599 8537805 9802665 15368049 17644797 25613415 29407995 46104147 52934391 76840245 88223985 158803173 230520735 264671955 476409519 794015865 1429228557 2382047595 7146142785