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30414241320 = 2335614154951
BaseRepresentation
bin11100010100110101…
…000111111000101000
32220111121202112122020
4130110311013320220
5444242021210240
621545550424440
72124456533331
oct342465077050
986447675566
1030414241320
1111998056731
125a89802120
132b391518c8
141687479288
15bd01a20d0
hex714d47e28

30414241320 has 64 divisors (see below), whose sum is σ = 92738528640. Its totient is φ = 7977504000.

The previous prime is 30414241313. The next prime is 30414241327. The reversal of 30414241320 is 2314241403.

It is an interprime number because it is at equal distance from previous prime (30414241313) and next prime (30414241327).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30414241327) 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 15 ways as a sum of consecutive naturals, for example, 2070156 + ... + 2084795.

It is an arithmetic number, because the mean of its divisors is an integer number (1449039510).

Almost surely, 230414241320 is an apocalyptic number.

30414241320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30414241320 is an abundant number, since it is smaller than the sum of its proper divisors (62324287320).

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

30414241320 is a wasteful number, since it uses less digits than its factorization.

30414241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155026 (or 4155022 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30414241320 its reverse (2314241403), we get a palindrome (32728482723).

The spelling of 30414241320 in words is "thirty billion, four hundred fourteen million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 4154951 8309902 12464853 16619804 20774755 24929706 33239608 41549510 49859412 62324265 83099020 99718824 124648530 166198040 249297060 253452011 498594120 506904022 760356033 1013808044 1267260055 1520712066 2027616088 2534520110 3041424132 3801780165 5069040220 6082848264 7603560330 10138080440 15207120660 30414241320