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1000238014161 = 3238928572
BaseRepresentation
bin11101000111000101101…
…01001101111011010001
310112121210022021210112100
432203202311031323101
5112341441412423121
62043300351551013
7132156554560611
oct16434265157321
93477708253470
101000238014161
11356220312511
12141a2982b469
13734256a2819
14365a9cc2a41
151b0425ce026
hexe8e2d4ded1

1000238014161 has 27 divisors (see below), whose sum is σ = 1450204083601. Its totient is φ = 664335046464.

The previous prime is 1000238014151. The next prime is 1000238014163. The reversal of 1000238014161 is 1614108320001.

It is a happy number.

The square root of 1000238014161 is 1000119.

It is a perfect power (a square), and thus also a powerful number.

1000238014161 is a `hidden beast` number, since 10 + 0 + 0 + 238 + 0 + 1 + 416 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53423388225 + 946814625936 = 231135^2 + 973044^2 .

It is not a de Polignac number, because 1000238014161 - 25 = 1000238014129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000238014163) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1167138445 + ... + 1167139301.

Almost surely, 21000238014161 is an apocalyptic number.

1000238014161 is the 1000119-th square number.

1000238014161 is the 500060-th centered octagonal number.

It is an amenable number.

1000238014161 is a deficient number, since it is larger than the sum of its proper divisors (449966069440).

1000238014161 is an frugal number, since it uses more digits than its factorization.

1000238014161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1000238014161 in words is "one trillion, two hundred thirty-eight million, fourteen thousand, one hundred sixty-one".

Divisors: 1 3 9 389 857 1167 2571 3501 7713 151321 333373 453963 734449 1000119 1361889 2203347 3000357 6610041 129682097 285700661 389046291 857101983 1167138873 2571305949 111137557129 333412671387 1000238014161