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1014023140 = 2251317383599
BaseRepresentation
bin111100011100001…
…100001111100100
32121200001201020121
4330130030033210
54034042220030
6244342011324
734062024454
oct7434141744
92550051217
101014023140
11480431659
12243716b44
13132109cc0
149895bd64
155e05147a
hex3c70c3e4

1014023140 has 96 divisors (see below), whose sum is σ = 2438553600. Its totient is φ = 350877696.

The previous prime is 1014023093. The next prime is 1014023203. The reversal of 1014023140 is 413204101.

1014023140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1692561 + ... + 1693159.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 21014023140 is an apocalyptic number.

1014023140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

1014023140 is an abundant number, since it is smaller than the sum of its proper divisors (1424530460).

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

1014023140 is a wasteful number, since it uses less digits than its factorization.

1014023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1014023140 is about 31843.7299950869. The cubic root of 1014023140 is about 1004.6526988204.

Adding to 1014023140 its reverse (413204101), we get a palindrome (1427227241).

The spelling of 1014023140 in words is "one billion, fourteen million, twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 383 442 599 766 884 1105 1198 1532 1915 2210 2396 2995 3830 4420 4979 5990 6511 7660 7787 9958 10183 11980 13022 15574 19916 20366 24895 26044 31148 32555 38935 40732 49790 50915 65110 77870 84643 99580 101830 130220 132379 155740 169286 203660 229417 264758 338572 423215 458834 529516 661895 846430 917668 1147085 1323790 1692860 2294170 2647580 2982421 3900089 4588340 5964842 7800178 11929684 14912105 15600356 19500445 29824210 39000890 50701157 59648420 78001780 101402314 202804628 253505785 507011570 1014023140