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159042237601 = 132306772
BaseRepresentation
bin1001010000011110100…
…1111111010010100001
3120012111221000202222111
42110013221333102201
510101204303100401
6201021335035321
714330133500002
oct2240751772241
9505457022874
10159042237601
11614a4219095
12269a6b0bb41
1311cc79ca900
1479aa63d1a9
15420c850e51
hex2507a7f4a1

159042237601 has 9 divisors (see below), whose sum is σ = 172222948281. Its totient is φ = 146803433712.

The previous prime is 159042237583. The next prime is 159042237619. The reversal of 159042237601 is 106732240951.

It is a happy number.

The square root of 159042237601 is 398801.

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

159042237601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (159042237583) and next prime (159042237619).

It can be written as a sum of positive squares in 4 ways, for example, as 2954031201 + 156088206400 = 54351^2 + 395080^2 .

It is not a de Polignac number, because 159042237601 - 233 = 150452303009 is a prime.

It is a super-2 number, since 2×1590422376012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (159042238601) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5169075 + ... + 5199751.

Almost surely, 2159042237601 is an apocalyptic number.

159042237601 is the 398801-st square number.

159042237601 is the 199401-st centered octagonal number.

It is an amenable number.

159042237601 is a deficient number, since it is larger than the sum of its proper divisors (13180710680).

159042237601 is an frugal number, since it uses more digits than its factorization.

159042237601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61380 (or 30690 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 159042237601 in words is "one hundred fifty-nine billion, forty-two million, two hundred thirty-seven thousand, six hundred one".

Divisors: 1 13 169 30677 398801 5184413 941078329 12234018277 159042237601