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1412424400000 = 275510134961
BaseRepresentation
bin10100100011011011000…
…011011111110010000000
312000000201021200201011211
4110203123003133302000
5141120121121300000
63000505300415504
7204021123211405
oct24433303376200
95000637621154
101412424400000
114a500782a969
121a98a20a7594
13a3263974053
144c50c7402ac
1526b18cb37ba
hex148db0dfc80

1412424400000 has 192 divisors, whose sum is σ = 3551966487720. Its totient is φ = 559360000000.

The previous prime is 1412424399979. The next prime is 1412424400001. The reversal of 1412424400000 is 44242141.

It can be written as a sum of positive squares in 12 ways, for example, as 329209717824 + 1083214682176 = 573768^2 + 1040776^2 .

It is not an unprimeable number, because it can be changed into a prime (1412424400001) 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 23 ways as a sum of consecutive naturals, for example, 40382520 + ... + 40417480.

Almost surely, 21412424400000 is an apocalyptic number.

1412424400000 is a gapful number since it is divisible by the number (10) 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 1412424400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775983243860).

1412424400000 is an abundant number, since it is smaller than the sum of its proper divisors (2139542087720).

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

1412424400000 is an frugal number, since it uses more digits than its factorization.

1412424400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35101 (or 35069 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1412424400000 its reverse (44242141), we get a palindrome (1412468642141).

The spelling of 1412424400000 in words is "one trillion, four hundred twelve billion, four hundred twenty-four million, four hundred thousand".