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30143424324 = 223134325117903
BaseRepresentation
bin11100000100101100…
…000010011101000100
32212210202011121120010
4130010230002131010
5443213204034244
621503034110220
72114660610366
oct340454023504
985722147503
1030143424324
11118691a4932
125a12b7b370
132ac5000c70
14165d500d36
15bb6509eb9
hex704b02744

30143424324 has 96 divisors (see below), whose sum is σ = 77819664384. Its totient is φ = 9022608000.

The previous prime is 30143424301. The next prime is 30143424347. The reversal of 30143424324 is 42342434103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30143424301) and next prime (30143424347).

It is a junction number, because it is equal to n+sod(n) for n = 30143424291 and 30143424300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674757 + ... + 1692659.

It is an arithmetic number, because the mean of its divisors is an integer number (810621504).

Almost surely, 230143424324 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 30143424324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38909832192).

30143424324 is an abundant number, since it is smaller than the sum of its proper divisors (47676240060).

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

30143424324 is a wasteful number, since it uses less digits than its factorization.

30143424324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18217 (or 18215 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 30143424324 its reverse (42342434103), we get a palindrome (72485858427).

The spelling of 30143424324 in words is "thirty billion, one hundred forty-three million, four hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 251 258 502 516 559 753 1004 1118 1506 1677 2236 3012 3263 3354 6526 6708 9789 10793 13052 17903 19578 21586 32379 35806 39156 43172 53709 64758 71612 107418 129516 140309 214836 232739 280618 420927 465478 561236 698217 769829 841854 930956 1396434 1539658 1683708 2309487 2792868 3079316 4493653 4618974 8987306 9237948 10007777 13480959 17974612 20015554 26961918 30023331 40031108 53923836 58417489 60046662 116834978 120093324 175252467 193227079 233669956 350504934 386454158 579681237 701009868 772908316 1159362474 2318724948 2511952027 5023904054 7535856081 10047808108 15071712162 30143424324