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1030414313232 = 24327155654953
BaseRepresentation
bin11101111111010010111…
…10101010011100010000
310122111200100022121202200
432333221132222130100
5113340242031010412
62105211002443200
7134305425102123
oct16775136523420
93574610277680
101030414313232
11367aa6020657
1214784b803500
13762244440a5
1437c2d9003ba
151bc0b92e9dc
hexefe97aa710

1030414313232 has 30 divisors (see below), whose sum is σ = 2883728946462. Its totient is φ = 343471437696.

The previous prime is 1030414313143. The next prime is 1030414313239. The reversal of 1030414313232 is 2323134140301.

It is a happy number.

1030414313232 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 414 + 3 + 13 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 913507762176 + 116906551056 = 955776^2 + 341916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1030414313196 and 1030414313205.

It is not an unprimeable number, because it can be changed into a prime (1030414313239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3577827333 + ... + 3577827620.

Almost surely, 21030414313232 is an apocalyptic number.

1030414313232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1030414313232 is an abundant number, since it is smaller than the sum of its proper divisors (1853314633230).

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

1030414313232 is a wasteful number, since it uses less digits than its factorization.

1030414313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155654967 (or 7155654958 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1030414313232 its reverse (2323134140301), we get a palindrome (3353548453533).

The spelling of 1030414313232 in words is "one trillion, thirty billion, four hundred fourteen million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7155654953 14311309906 21466964859 28622619812 42933929718 57245239624 64400894577 85867859436 114490479248 128801789154 171735718872 257603578308 343471437744 515207156616 1030414313232