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159441129 = 34232612
BaseRepresentation
bin10011000000011…
…10000011101001
3102010000110010000
421200032003221
5311304104004
623453213213
73644140641
oct1140160351
9363013100
10159441129
1182000531
1245491209
1327056283
1417265521
15dee6c39
hex980e0e9

159441129 has 45 divisors (see below), whose sum is σ = 253131879. Its totient is φ = 100005840.

The previous prime is 159441127. The next prime is 159441133. The reversal of 159441129 is 921144951.

It is a happy number.

The square root of 159441129 is 12627.

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

159441129 is a `hidden beast` number, since 1 + 594 + 41 + 1 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5184729 + 154256400 = 2277^2 + 12420^2 .

It is not a de Polignac number, because 159441129 - 21 = 159441127 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (12960) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 159441093 and 159441102.

It is not an unprimeable number, because it can be changed into a prime (159441127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2613759 + ... + 2613819.

Almost surely, 2159441129 is an apocalyptic number.

159441129 is the 12627-th square number.

159441129 is the 6314-th centered octagonal number.

It is an amenable number.

159441129 is a deficient number, since it is larger than the sum of its proper divisors (93690750).

159441129 is an frugal number, since it uses more digits than its factorization.

159441129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 87 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The cubic root of 159441129 is about 542.2506987359.

Multiplying 159441129 by its sum of digits (36), we get a square (5739880644 = 757622).

The spelling of 159441129 in words is "one hundred fifty-nine million, four hundred forty-one thousand, one hundred twenty-nine".

Divisors: 1 3 9 23 27 61 69 81 183 207 529 549 621 1403 1587 1647 1863 3721 4209 4761 4941 11163 12627 14283 32269 33489 37881 42849 85583 96807 100467 113643 256749 290421 301401 770247 871263 1968409 2310741 2613789 5905227 6932223 17715681 53147043 159441129