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21451112404000 = 2553192127711633
BaseRepresentation
bin1001110000010011110011…
…11011110101010000100000
32210221201001220110110011121
410320021321323311100200
510302423334233412000
6113342301025022024
74342535363652016
oct470117173652040
983851056413147
1021451112404000
1169204027a4a24
1224a5452184914
13bc7aa6262136
1454234cc048b6
15272ed5371b1a
hex138279ef5420

21451112404000 has 288 divisors, whose sum is σ = 55673693829936. Its totient is φ = 8121778790400.

The previous prime is 21451112403983. The next prime is 21451112404027. The reversal of 21451112404000 is 40421115412.

It can be written as a sum of positive squares in 8 ways, for example, as 2537763697296 + 18913348706704 = 1593036^2 + 4348948^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843982184 + ... + 1843993816.

Almost surely, 221451112404000 is an apocalyptic number.

21451112404000 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 21451112404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27836846914968).

21451112404000 is an abundant number, since it is smaller than the sum of its proper divisors (34222581425936).

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

21451112404000 is a wasteful number, since it uses less digits than its factorization.

21451112404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12973 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 21451112404000 its reverse (40421115412), we get a palindrome (21491533519412).

The spelling of 21451112404000 in words is "twenty-one trillion, four hundred fifty-one billion, one hundred twelve million, four hundred four thousand".