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30360742425 = 325213171573889
BaseRepresentation
bin11100010001101001…
…000010101000011001
32220100220002111221200
4130101221002220121
5444134322224200
621540400024413
72123240024016
oct342151025031
986326074850
1030360742425
111196a936172
125a73902109
132b2b03ca60
14168031070d
15bca635800
hex711a42a19

30360742425 has 144 divisors (see below), whose sum is σ = 62418348720. Its totient is φ = 13974405120.

The previous prime is 30360742387. The next prime is 30360742427. The reversal of 30360742425 is 52424706303.

30360742425 is a `hidden beast` number, since 3 + 0 + 3 + 607 + 4 + 2 + 42 + 5 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 20514546441 + 9846195984 = 143229^2 + 99228^2 .

It is not a de Polignac number, because 30360742425 - 26 = 30360742361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30360742425.

It is not an unprimeable number, because it can be changed into a prime (30360742427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7804881 + ... + 7808769.

It is an arithmetic number, because the mean of its divisors is an integer number (433460755).

Almost surely, 230360742425 is an apocalyptic number.

It is an amenable number.

30360742425 is an abundant number, since it is smaller than the sum of its proper divisors (32057606295).

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

30360742425 is a wasteful number, since it uses less digits than its factorization.

30360742425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 30360742425 in words is "thirty billion, three hundred sixty million, seven hundred forty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 157 195 221 225 255 325 425 471 585 663 765 785 975 1105 1275 1413 1989 2041 2355 2669 2925 3315 3825 3889 3925 5525 6123 7065 8007 9945 10205 11667 11775 13345 16575 18369 19445 24021 30615 34697 35001 35325 40035 49725 50557 51025 58335 66113 66725 91845 97225 104091 120105 151671 153075 173485 175005 198339 200175 252785 291675 312273 330565 455013 459225 520455 595017 600525 610573 758355 859469 867425 875025 991695 1263925 1561365 1652825 1831719 2275065 2578407 2602275 2975085 3052865 3791775 4297345 4958475 5495157 7735221 7806825 7937449 9158595 10379741 11375325 12892035 14875425 15264325 21486725 23812347 27475785 31139223 38676105 39687245 45792975 51898705 64460175 71437041 93417669 119061735 134936633 137378925 155696115 193380525 198436225 259493525 357185205 404809899 467088345 595308675 674683165 778480575 1214429697 1785926025 2024049495 2335441725 3373415825 6072148485 10120247475 30360742425