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20343331140000 = 253541136783987
BaseRepresentation
bin1001010000000100011010…
…00001101011000110100000
32200000210200201120111220220
410220002031001223012200
510131301120232440000
6111133333004003040
74166520465404421
oct450021501530640
980023621514826
1020343331140000
116533616096140
122346810530480
13b474a235b04b
145048a0131648
1525429b6d11a0
hex12808d06b1a0

20343331140000 has 480 divisors, whose sum is σ = 72995801066496. Its totient is φ = 4918220160000.

The previous prime is 20343331139969. The next prime is 20343331140001. The reversal of 20343331140000 is 4113334302.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×203433311400002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20343331140001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 242178007 + ... + 242261993.

Almost surely, 220343331140000 is an apocalyptic number.

20343331140000 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 20343331140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36497900533248).

20343331140000 is an abundant number, since it is smaller than the sum of its proper divisors (52652469926496).

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

20343331140000 is a wasteful number, since it uses less digits than its factorization.

20343331140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84398 (or 84375 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20343331140000 its reverse (4113334302), we get a palindrome (20347444474302).

The spelling of 20343331140000 in words is "twenty trillion, three hundred forty-three billion, three hundred thirty-one million, one hundred forty thousand".