Search a number
-
+
1014340114240 = 2658213860917
BaseRepresentation
bin11101100001010110110…
…00011101011101000000
310120222012002212201002021
432300223120131131000
5113104332032123430
62053551552531224
7133166202466165
oct16605330353500
93528162781067
101014340114240
113611a7606a82
12144704550b14
13748621ac03b
1437146b7606c
151b5ba67e07a
hexec2b61d740

1014340114240 has 56 divisors (see below), whose sum is σ = 2418340042152. Its totient is φ = 405241743360.

The previous prime is 1014340114237. The next prime is 1014340114289. The reversal of 1014340114240 is 424110434101.

It can be written as a sum of positive squares in 4 ways, for example, as 157589944576 + 856750169664 = 396976^2 + 925608^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1667739 + ... + 2193178.

Almost surely, 21014340114240 is an apocalyptic number.

1014340114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014340114240 is an abundant number, since it is smaller than the sum of its proper divisors (1403999927912).

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

1014340114240 is an equidigital number, since it uses as much as digits as its factorization.

1014340114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861755 (or 3861745 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1014340114240 its reverse (424110434101), we get a palindrome (1438450548341).

The spelling of 1014340114240 in words is "one trillion, fourteen billion, three hundred forty million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 821 1642 3284 4105 6568 8210 13136 16420 26272 32840 52544 65680 131360 262720 3860917 7721834 15443668 19304585 30887336 38609170 61774672 77218340 123549344 154436680 247098688 308873360 617746720 1235493440 3169812857 6339625714 12679251428 15849064285 25358502856 31698128570 50717005712 63396257140 101434011424 126792514280 202868022848 253585028560 507170057120 1014340114240