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1014324113024 = 2725730834269
BaseRepresentation
bin11101100001010100110…
…11011010111010000000
310120222010222202202112122
432300222123122322000
5113104313433104044
62053550221543412
7133165616463335
oct16605233327200
93528128682478
101014324113024
11361199578032
121446bb114b68
137485ba98a71
14371449ac98c
151b5b906cdee
hexec2a6dae80

1014324113024 has 32 divisors (see below), whose sum is σ = 2028586623300. Its totient is φ = 505188646912.

The previous prime is 1014324113017. The next prime is 1014324113071. The reversal of 1014324113024 is 4203114234101.

It can be written as a sum of positive squares in 2 ways, for example, as 766885518400 + 247438594624 = 875720^2 + 497432^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1014324112984 and 1014324113002.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15384239 + ... + 15450030.

Almost surely, 21014324113024 is an apocalyptic number.

It is an amenable number.

1014324113024 is a deficient number, since it is larger than the sum of its proper divisors (1014262510276).

1014324113024 is an equidigital number, since it uses as much as digits as its factorization.

1014324113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30834540 (or 30834528 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1014324113024 its reverse (4203114234101), we get a palindrome (5217438347125).

The spelling of 1014324113024 in words is "one trillion, fourteen billion, three hundred twenty-four million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 257 514 1028 2056 4112 8224 16448 32896 30834269 61668538 123337076 246674152 493348304 986696608 1973393216 3946786432 7924407133 15848814266 31697628532 63395257064 126790514128 253581028256 507162056512 1014324113024