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1014225040 = 24561207833
BaseRepresentation
bin111100011100111…
…101100010010000
32121200102222012101
4330130331202100
54034120200130
6244350210144
734063525213
oct7434754220
92550388171
101014225040
1148055a314
122437b3954
1313217ab7a
14989b177a
155e0911ca
hex3c73d890

1014225040 has 40 divisors (see below), whose sum is σ = 2396741688. Its totient is φ = 399037440.

The previous prime is 1014225011. The next prime is 1014225041. The reversal of 1014225040 is 405224101.

1014225040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3748096 + 1010476944 = 1936^2 + 31788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1014224999 and 1014225017.

It is not an unprimeable number, because it can be changed into a prime (1014225041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99037 + ... + 108796.

Almost surely, 21014225040 is an apocalyptic number.

1014225040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014225040 is an abundant number, since it is smaller than the sum of its proper divisors (1382516648).

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

1014225040 is a wasteful number, since it uses less digits than its factorization.

1014225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207907 (or 207901 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1014225040 is about 31846.9000061230. The cubic root of 1014225040 is about 1004.7193724860.

Adding to 1014225040 its reverse (405224101), we get a palindrome (1419449141).

The spelling of 1014225040 in words is "one billion, fourteen million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 207833 415666 831332 1039165 1662664 2078330 3325328 4156660 8313320 12677813 16626640 25355626 50711252 63389065 101422504 126778130 202845008 253556260 507112520 1014225040