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23412420341440 = 2651329322160251
BaseRepresentation
bin1010101001011001000001…
…11111110110111011000000
310001220012112211100212111121
411110230200333312323000
511032042114101411230
6121443303432522024
74634330413236004
oct524544077667300
9101805484325447
1023412420341440
117507173a164a9
122761598250314
13100aa216caa20
145ad24aab2704
152a90265c477a
hex154b20ff6ec0

23412420341440 has 224 divisors, whose sum is σ = 62129987357760. Its totient is φ = 8343767040000.

The previous prime is 23412420341419. The next prime is 23412420341447. The reversal of 23412420341440 is 4414302421432.

It is a super-3 number, since 3×234124203414403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23412420341396 and 23412420341405.

It is not an unprimeable number, because it can be changed into a prime (23412420341447) 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 31 ways as a sum of consecutive naturals, for example, 388551315 + ... + 388611565.

It is an arithmetic number, because the mean of its divisors is an integer number (277366014990).

Almost surely, 223412420341440 is an apocalyptic number.

23412420341440 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 23412420341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31064993678880).

23412420341440 is an abundant number, since it is smaller than the sum of its proper divisors (38717567016320).

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

23412420341440 is a wasteful number, since it uses less digits than its factorization.

23412420341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63531 (or 63521 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 23412420341440 its reverse (4414302421432), we get a palindrome (27826722762872).

The spelling of 23412420341440 in words is "twenty-three trillion, four hundred twelve billion, four hundred twenty million, three hundred forty-one thousand, four hundred forty".