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240151145 = 5134197929
BaseRepresentation
bin11100101000001…
…10101001101001
3121201212221102212
432110012221221
5442434314040
635455134505
75644152053
oct1624065151
9551787385
10240151145
11113617123
1268514435
133a9a4890
1423c748d3
151613ad65
hexe506a69

240151145 has 32 divisors (see below), whose sum is σ = 321541920. Its totient is φ = 171048960.

The previous prime is 240151139. The next prime is 240151151. The reversal of 240151145 is 541151042.

It is an interprime number because it is at equal distance from previous prime (240151139) and next prime (240151151).

It can be written as a sum of positive squares in 16 ways, for example, as 221652544 + 18498601 = 14888^2 + 4301^2 .

It is not a de Polignac number, because 240151145 - 224 = 223373929 is a prime.

It is a super-2 number, since 2×2401511452 = 115345144889622050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240151145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258041 + ... + 258969.

It is an arithmetic number, because the mean of its divisors is an integer number (10048185).

Almost surely, 2240151145 is an apocalyptic number.

It is an amenable number.

240151145 is a deficient number, since it is larger than the sum of its proper divisors (81390775).

240151145 is a wasteful number, since it uses less digits than its factorization.

240151145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 240151145 is about 15496.8108009358. The cubic root of 240151145 is about 621.5769301081.

The spelling of 240151145 in words is "two hundred forty million, one hundred fifty-one thousand, one hundred forty-five".

Divisors: 1 5 13 41 65 97 205 485 533 929 1261 2665 3977 4645 6305 12077 19885 38089 51701 60385 90113 190445 258505 450565 495157 1171469 2475785 3694633 5857345 18473165 48030229 240151145