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1014130304 = 27113731931
BaseRepresentation
bin111100011100100…
…110011010000000
32121200021011020122
4330130212122000
54034104132204
6244344155412
734062652055
oct7434463200
92550234218
101014130304
114804a5120
12243768b68
13132146a05
149898902c
155e0730be
hex3c726680

1014130304 has 64 divisors (see below), whose sum is σ = 2211058080. Its totient is φ = 459494400.

The previous prime is 1014130303. The next prime is 1014130309. The reversal of 1014130304 is 4030314101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10141303042 = 2056920546982264832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1014130303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524219 + ... + 526149.

Almost surely, 21014130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105529040).

1014130304 is an abundant number, since it is smaller than the sum of its proper divisors (1196927776).

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

1014130304 is a wasteful number, since it uses less digits than its factorization.

1014130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1014130304 is about 31845.4126052717. The cubic root of 1014130304 is about 1004.6880888114.

Adding to 1014130304 its reverse (4030314101), we get a palindrome (5044444405).

The spelling of 1014130304 in words is "one billion, fourteen million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 373 704 746 1408 1492 1931 2984 3862 4103 5968 7724 8206 11936 15448 16412 21241 23872 30896 32824 42482 47744 61792 65648 84964 123584 131296 169928 247168 262592 339856 525184 679712 720263 1359424 1440526 2718848 2881052 5762104 7922893 11524208 15845786 23048416 31691572 46096832 63383144 92193664 126766288 253532576 507065152 1014130304