Search a number
-
+
11420041140 = 22325238926557
BaseRepresentation
bin10101010001010111…
…11111111110110100
31002110212211012100200
422220223333332310
5141342012304030
65125111040500
7552666514404
oct125053777664
932425735320
1011420041140
114930351a32
122268670130
1310ccc64cc1
147a49b0804
1546c8b0d60
hex2a8afffb4

11420041140 has 72 divisors (see below), whose sum is σ = 34656596520. Its totient is φ = 3043954944.

The previous prime is 11420041133. The next prime is 11420041147. The reversal of 11420041140 is 4114002411.

11420041140 is a `hidden beast` number, since 1 + 14 + 200 + 411 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11420041133) and next prime (11420041147).

It can be written as a sum of positive squares in 4 ways, for example, as 266146596 + 11153894544 = 16314^2 + 105612^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420041147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416742 + ... + 443298.

Almost surely, 211420041140 is an apocalyptic number.

11420041140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11420041140 is an abundant number, since it is smaller than the sum of its proper divisors (23236555380).

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

11420041140 is a wasteful number, since it uses less digits than its factorization.

11420041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28961 (or 28956 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11420041140 its reverse (4114002411), we get a palindrome (15534043551).

The spelling of 11420041140 in words is "eleven billion, four hundred twenty million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2389 4778 7167 9556 11945 14334 21501 23890 26557 28668 35835 43002 47780 53114 71670 79671 86004 106228 107505 132785 143340 159342 215010 239013 265570 318684 398355 430020 478026 531140 796710 956052 1195065 1593420 2390130 4780260 63444673 126889346 190334019 253778692 317223365 380668038 571002057 634446730 761336076 951670095 1142004114 1268893460 1903340190 2284008228 2855010285 3806680380 5710020570 11420041140