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2323614047040 = 26335111319312103
BaseRepresentation
bin100001110100000010001…
…100001001101101000000
322020010122122202202111000
4201310002030021231000
5301032230144001130
64535241545052000
7326606215342536
oct41640214115500
98203578682430
102323614047040
1181649160a140
123163b9787000
1313b167728680
148066bc82156
1540698841260
hex21d02309b40

2323614047040 has 2688 divisors, whose sum is σ = 10576374681600. Its totient is φ = 472084070400.

The previous prime is 2323614047033. The next prime is 2323614047113. The reversal of 2323614047040 is 407404163232.

2323614047040 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 6 + 140 + 470 + 40 = 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 = 2323614046986 and 2323614047004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22559359629 + ... + 22559359731.

It is an arithmetic number, because the mean of its divisors is an integer number (3934663200).

Almost surely, 22323614047040 is an apocalyptic number.

2323614047040 is a gapful number since it is divisible by the number (20) 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 2323614047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288187340800).

2323614047040 is an abundant number, since it is smaller than the sum of its proper divisors (8252760634560).

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

2323614047040 is a wasteful number, since it uses less digits than its factorization.

2323614047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 2323614047040 in words is "two trillion, three hundred twenty-three billion, six hundred fourteen million, forty-seven thousand, forty".