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160141631329 = 23212721372
BaseRepresentation
bin1001010100100100101…
…1110101111101100001
3120022100112201202122201
42111021023311331201
510110432224200304
6201322410533201
714366313256351
oct2251113657541
9508315652581
10160141631329
1161a08859949
1227053137201
13121416c8644
147a72660b61
1542741173a4
hex25492f5f61

160141631329 has 27 divisors (see below), whose sum is σ = 169976217747. Its totient is φ = 150863527584.

The previous prime is 160141631231. The next prime is 160141631369. The reversal of 160141631329 is 923136141061.

The square root of 160141631329 is 400177.

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

It can be written as a sum of positive squares in only one way, i.e., 94067957025 + 66073674304 = 306705^2 + 257048^2 .

It is a de Polignac number, because none of the positive numbers 2k-160141631329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160141631369) 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, 1168916949 + ... + 1168917085.

Almost surely, 2160141631329 is an apocalyptic number.

160141631329 is the 400177-th square number.

160141631329 is the 200089-th centered octagonal number.

It is an amenable number.

160141631329 is a deficient number, since it is larger than the sum of its proper divisors (9834586418).

160141631329 is an frugal number, since it uses more digits than its factorization.

160141631329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 160141631329 in words is "one hundred sixty billion, one hundred forty-one million, six hundred thirty-one thousand, three hundred twenty-nine".

Divisors: 1 23 127 137 529 2921 3151 16129 17399 18769 67183 72473 370967 400177 431687 2209673 2383663 8532241 9204071 9928801 50822479 54824249 302725201 1168917017 1260957727 6962679623 160141631329