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1141040010 = 235118341659
BaseRepresentation
bin100010000000010…
…1110001110001010
32221112001211122010
41010000232032022
54314101240020
6305120240350
740163452155
oct10400561612
92845054563
101141040010
115360a6280
1227a1700b6
1315251ca06
14ab782c9c
156a290de0
hex4402e38a

1141040010 has 64 divisors (see below), whose sum is σ = 3023516160. Its totient is φ = 273276480.

The previous prime is 1141039997. The next prime is 1141040023. The reversal of 1141040010 is 100401411.

It is an interprime number because it is at equal distance from previous prime (1141039997) and next prime (1141040023).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6561 + ... + 48219.

It is an arithmetic number, because the mean of its divisors is an integer number (47242440).

Almost surely, 21141040010 is an apocalyptic number.

1141040010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141040010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511758080).

1141040010 is an abundant number, since it is smaller than the sum of its proper divisors (1882476150).

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

1141040010 is a wasteful number, since it uses less digits than its factorization.

1141040010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41763.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1141040010 is about 33779.2837401861. The cubic root of 1141040010 is about 1044.9615028209.

Adding to 1141040010 its reverse (100401411), we get a palindrome (1241441421).

The spelling of 1141040010 in words is "one billion, one hundred forty-one million, forty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 249 330 415 498 830 913 1245 1826 2490 2739 4565 5478 9130 13695 27390 41659 83318 124977 208295 249954 416590 458249 624885 916498 1249770 1374747 2291245 2749494 3457697 4582490 6873735 6915394 10373091 13747470 17288485 20746182 34576970 38034667 51865455 76069334 103730910 114104001 190173335 228208002 380346670 570520005 1141040010