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30432140240 = 245894274177
BaseRepresentation
bin11100010101111001…
…011001101111010000
32220112212102220100012
4130111321121233100
5444311111441430
621551430214052
72125064631635
oct342571315720
986485386305
1030432140240
11119a7171427
125a937b4328
132b3ca7a898
1416899b818c
15bd1a3a695
hex715e59bd0

30432140240 has 40 divisors (see below), whose sum is σ = 71549739720. Its totient is φ = 12036079616.

The previous prime is 30432140197. The next prime is 30432140293. The reversal of 30432140240 is 4204123403.

It can be written as a sum of positive squares in 4 ways, for example, as 4062277696 + 26369862544 = 63736^2 + 162388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×304321402402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129969 + ... + 2144208.

It is an arithmetic number, because the mean of its divisors is an integer number (1788743493).

Almost surely, 230432140240 is an apocalyptic number.

It is an amenable number.

30432140240 is an abundant number, since it is smaller than the sum of its proper divisors (41117599480).

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

30432140240 is a wasteful number, since it uses less digits than its factorization.

30432140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274279 (or 4274273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 30432140240 its reverse (4204123403), we get a palindrome (34636263643).

The spelling of 30432140240 in words is "thirty billion, four hundred thirty-two million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 4274177 8548354 17096708 21370885 34193416 42741770 68386832 85483540 170967080 341934160 380401753 760803506 1521607012 1902008765 3043214024 3804017530 6086428048 7608035060 15216070120 30432140240