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30414134424 = 23329148729387
BaseRepresentation
bin11100010100110100…
…101101110010011000
32220111121120010000010
4130110310231302120
5444242004300144
621545544241520
72124455606562
oct342464556230
986447503003
1030414134424
1111997a93393
125a897702a0
132b3911505b
14168744c332
15bd01805b9
hex714d2dc98

30414134424 has 64 divisors (see below), whose sum is σ = 78712819200. Its totient is φ = 9781541504.

The previous prime is 30414134389. The next prime is 30414134473. The reversal of 30414134424 is 42443141403.

It is a super-2 number, since 2×304141344242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30414134391 and 30414134400.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1020259 + ... + 1049645.

It is an arithmetic number, because the mean of its divisors is an integer number (1229887800).

Almost surely, 230414134424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30414134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39356409600).

30414134424 is an abundant number, since it is smaller than the sum of its proper divisors (48298684776).

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

30414134424 is a wasteful number, since it uses less digits than its factorization.

30414134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30912 (or 30908 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 30414134424 its reverse (42443141403), we get a palindrome (72857275827).

The spelling of 30414134424 in words is "thirty billion, four hundred fourteen million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1487 2974 4461 5948 8922 11896 17844 29387 35688 43123 58774 86246 88161 117548 129369 172492 176322 235096 258738 344984 352644 517476 705288 852223 1034952 1704446 2556669 3408892 5113338 6817784 10226676 20453352 43698469 87396938 131095407 174793876 262190814 349587752 524381628 1048763256 1267255601 2534511202 3801766803 5069022404 7603533606 10138044808 15207067212 30414134424