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1140010144 = 25713391487
BaseRepresentation
bin100001111110011…
…0010110010100000
32221110010111220221
41003330302302200
54313320311034
6305042212424
740151632510
oct10374626240
92843114827
101140010144
11535562549
12279954114
1315224c020
14ab595840
156a13abb4
hex43f32ca0

1140010144 has 48 divisors (see below), whose sum is σ = 2762339328. Its totient is φ = 450991872.

The previous prime is 1140010141. The next prime is 1140010147. The reversal of 1140010144 is 4410100411.

It is an interprime number because it is at equal distance from previous prime (1140010141) and next prime (1140010147).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1140010141) 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, 192832 + ... + 198655.

It is an arithmetic number, because the mean of its divisors is an integer number (57548736).

Almost surely, 21140010144 is an apocalyptic number.

1140010144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1140010144 is an abundant number, since it is smaller than the sum of its proper divisors (1622329184).

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

1140010144 is a wasteful number, since it uses less digits than its factorization.

1140010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391517 (or 391509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1140010144 is about 33764.0362516095. The cubic root of 1140010144 is about 1044.6470253125.

Adding to 1140010144 its reverse (4410100411), we get a palindrome (5550110555).

The spelling of 1140010144 in words is "one billion, one hundred forty million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 391487 782974 1565948 2740409 3131896 5089331 5480818 6263792 10178662 10961636 12527584 20357324 21923272 35625317 40714648 43846544 71250634 81429296 87693088 142501268 162858592 285002536 570005072 1140010144