Search a number
-
+
1140372414 = 232595771861
BaseRepresentation
bin100001111111000…
…1011001110111110
32221110210220212100
41003332023032332
54313413404124
6305054045530
740155001626
oct10376131676
92843726770
101140372414
1153578a745
12279aa98a6
13152347b9c
14ab64b886
156a1ad1c9
hex43f8b3be

1140372414 has 48 divisors (see below), whose sum is σ = 2518392240. Its totient is φ = 372833280.

The previous prime is 1140372391. The next prime is 1140372451. The reversal of 1140372414 is 4142730411.

1140372414 is a `hidden beast` number, since 11 + 403 + 7 + 241 + 4 = 666.

It is a super-2 number, since 2×11403724142 = 2600898485224374792, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 611844 + ... + 613704.

It is an arithmetic number, because the mean of its divisors is an integer number (52466505).

Almost surely, 21140372414 is an apocalyptic number.

1140372414 is an abundant number, since it is smaller than the sum of its proper divisors (1378019826).

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

1140372414 is a wasteful number, since it uses less digits than its factorization.

1140372414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1140372414 is about 33769.4005573093. The cubic root of 1140372414 is about 1044.7576688303.

The spelling of 1140372414 in words is "one billion, one hundred forty million, three hundred seventy-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 577 1062 1154 1731 1861 3462 3722 5193 5583 10386 11166 16749 33498 34043 68086 102129 109799 204258 219598 306387 329397 612774 658794 988191 1073797 1976382 2147594 3221391 6442782 9664173 19328346 63354023 126708046 190062069 380124138 570186207 1140372414