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4130311140 = 2232522946173
BaseRepresentation
bin1111011000101111…
…1000101111100100
3101122211220112201200
43312023320233210
531424324424030
61521502522500
7204232031304
oct36613705744
911584815650
104130311140
11182a4a898a
12973296430
1350a9189b7
142b2795604
15192915d60
hexf62f8be4

4130311140 has 36 divisors (see below), whose sum is σ = 12528611004. Its totient is φ = 1101416256.

The previous prime is 4130311127. The next prime is 4130311151. The reversal of 4130311140 is 411130314.

It can be written as a sum of positive squares in 2 ways, for example, as 2820884544 + 1309426596 = 53112^2 + 36186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×41303111402 = 34118940226416199200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 11472907 + ... + 11473266.

Almost surely, 24130311140 is an apocalyptic number.

It is an amenable number.

4130311140 is an abundant number, since it is smaller than the sum of its proper divisors (8398299864).

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

4130311140 is a wasteful number, since it uses less digits than its factorization.

4130311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22946188 (or 22946183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4130311140 is about 64267.4967615824. The cubic root of 4130311140 is about 1604.4551794500.

Adding to 4130311140 its reverse (411130314), we get a palindrome (4541441454).

The spelling of 4130311140 in words is "four billion, one hundred thirty million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22946173 45892346 68838519 91784692 114730865 137677038 206515557 229461730 275354076 344192595 413031114 458923460 688385190 826062228 1032577785 1376770380 2065155570 4130311140