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1014324342400 = 2752316976357
BaseRepresentation
bin11101100001010100111…
…00010010111010000000
310120222011000012102012001
432300222130102322000
5113104314012424100
62053550230513344
7133165621440145
oct16605234227200
93528130172161
101014324342400
113611997143a6
121446bb205854
137485bb492a5
1437144a2c3cc
151b5b90b5d6a
hexec2a712e80

1014324342400 has 48 divisors (see below), whose sum is σ = 2505698109990. Its totient is φ = 405729735680.

The previous prime is 1014324342391. The next prime is 1014324342419. The reversal of 1014324342400 is 42434234101.

It can be written as a sum of positive squares in 3 ways, for example, as 586890823744 + 427433518656 = 766088^2 + 653784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 158484979 + ... + 158491378.

Almost surely, 21014324342400 is an apocalyptic number.

1014324342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014324342400 is an abundant number, since it is smaller than the sum of its proper divisors (1491373767590).

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

1014324342400 is an equidigital number, since it uses as much as digits as its factorization.

1014324342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316976381 (or 316976364 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1014324342400 its reverse (42434234101), we get a palindrome (1056758576501).

The spelling of 1014324342400 in words is "one trillion, fourteen billion, three hundred twenty-four million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 316976357 633952714 1267905428 1584881785 2535810856 3169763570 5071621712 6339527140 7924408925 10143243424 12679054280 15848817850 20286486848 25358108560 31697635700 40572973696 50716217120 63395271400 101432434240 126790542800 202864868480 253581085600 507162171200 1014324342400