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23420283445440 = 26325723531994789
BaseRepresentation
bin1010101001100111101011…
…01011001110000011000000
310001220221211211011221101200
411110303311223032003000
511032204220030223230
6121451044002301200
74635026312434320
oct524636553160300
9101827754157350
1023420283445440
11750a539491962
122763011657800
13100b6a577c59b
145ad795103280
152a9336a7d160
hex154cf5ace0c0

23420283445440 has 1344 divisors, whose sum is σ = 98391780864000. Its totient is φ = 4997557813248.

The previous prime is 23420283445381. The next prime is 23420283445469. The reversal of 23420283445440 is 4454438202432.

23420283445440 is a `hidden beast` number, since 2 + 3 + 4 + 20 + 2 + 83 + 4 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4890430566 + ... + 4890435354.

Almost surely, 223420283445440 is an apocalyptic number.

23420283445440 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 23420283445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49195890432000).

23420283445440 is an abundant number, since it is smaller than the sum of its proper divisors (74971497418560).

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

23420283445440 is a wasteful number, since it uses less digits than its factorization.

23420283445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 23420283445440 in words is "twenty-three trillion, four hundred twenty billion, two hundred eighty-three million, four hundred forty-five thousand, four hundred forty".