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9323213400144 = 24327411324917027
BaseRepresentation
bin1000011110101011101011…
…0100101010100001010000
31020000021211202211202122100
42013222322310222201100
52210222420112301034
631455005231240400
71651402630225230
oct207527264524120
936007752752570
109323213400144
112a74a529aa546
121066a99379100
13528238047117
14243362bc5cc0
151127b8ca0099
hex87abad2a850

9323213400144 has 240 divisors, whose sum is σ = 30550888368000. Its totient is φ = 2598456360960.

The previous prime is 9323213400139. The next prime is 9323213400181. The reversal of 9323213400144 is 4410043123239.

9323213400144 is a `hidden beast` number, since 9 + 3 + 23 + 213 + 400 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9323213400099 and 9323213400108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547546159 + ... + 547563185.

It is an arithmetic number, because the mean of its divisors is an integer number (127295368200).

Almost surely, 29323213400144 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 9323213400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275444184000).

9323213400144 is an abundant number, since it is smaller than the sum of its proper divisors (21227674967856).

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

9323213400144 is a wasteful number, since it uses less digits than its factorization.

9323213400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30338 (or 30329 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 9323213400144 in words is "nine trillion, three hundred twenty-three billion, two hundred thirteen million, four hundred thousand, one hundred forty-four".