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23302053440000 = 295476994693
BaseRepresentation
bin1010100110001011011101…
…00111100010101000000000
310001111122200011120100222022
411103011232213202220000
511023240101140040000
6121320452055101012
74623342415116026
oct523055647425000
9101448604510868
1023302053440000
117474388757965
122744116671768
1310004b31aa99a
145a7b7aca2716
152a62171a5585
hex15316e9e2a00

23302053440000 has 200 divisors, whose sum is σ = 58255891787940. Its totient is φ = 9308602368000.

The previous prime is 23302053439979. The next prime is 23302053440009. The reversal of 23302053440000 is 4435020332.

It can be written as a sum of positive squares in 10 ways, for example, as 3971188070656 + 19330865369344 = 1992784^2 + 4396688^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (23302053440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 246032654 + ... + 246127346.

Almost surely, 223302053440000 is an apocalyptic number.

23302053440000 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 23302053440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29127945893970).

23302053440000 is an abundant number, since it is smaller than the sum of its proper divisors (34953838347940).

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

23302053440000 is an frugal number, since it uses more digits than its factorization.

23302053440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95500 (or 95469 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 23302053440000 its reverse (4435020332), we get a palindrome (23306488460332).

The spelling of 23302053440000 in words is "twenty-three trillion, three hundred two billion, fifty-three million, four hundred forty thousand".