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30143943936 = 28354359191
BaseRepresentation
bin11100000100101110…
…000001010100000000
32212210210011000100000
4130010232001110000
5443213322201221
621503053200000
72114665203321
oct340456012400
985723130300
1030143943936
111186951a267
125a13190000
132ac5153622
14165d5d8448
15bb65ade26
hex704b81500

30143943936 has 432 divisors, whose sum is σ = 94281707520. Its totient is φ = 9597450240.

The previous prime is 30143943913. The next prime is 30143943943. The reversal of 30143943936 is 63934934103.

30143943936 is a `hidden beast` number, since 30 + 143 + 94 + 393 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×301439439362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30143943891 and 30143943900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157821601 + ... + 157821791.

Almost surely, 230143943936 is an apocalyptic number.

30143943936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30143943936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47140853760).

30143943936 is an abundant number, since it is smaller than the sum of its proper divisors (64137763584).

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

30143943936 is an equidigital number, since it uses as much as digits as its factorization.

30143943936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 30143943936 in words is "thirty billion, one hundred forty-three million, nine hundred forty-three thousand, nine hundred thirty-six".