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9114329961 = 321142632
BaseRepresentation
bin10000111110100000…
…11010001101101001
3212112012012221020100
420133100122031221
5122131232024321
64104223420013
7441601345362
oct103720321551
925465187210
109114329961
113957890000
121924454609
13b23370469
14626696b69
15385262326
hex21f41a369

9114329961 has 45 divisors (see below), whose sum is σ = 14536840045. Its totient is φ = 5502833160.

The previous prime is 9114329927. The next prime is 9114329981. The reversal of 9114329961 is 1699234119.

The square root of 9114329961 is 95469.

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

It is not a de Polignac number, because 9114329961 - 29 = 9114329449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9114329921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34655116 + ... + 34655378.

Almost surely, 29114329961 is an apocalyptic number.

9114329961 is the 95469-th square number.

9114329961 is the 47735-th centered octagonal number.

It is an amenable number.

9114329961 is a deficient number, since it is larger than the sum of its proper divisors (5422510084).

9114329961 is an frugal number, since it uses more digits than its factorization.

9114329961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 277 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The cubic root of 9114329961 is about 2088.8547834883.

Multiplying 9114329961 by its product of digits (104976), we get a square (956785901985936 = 309319562).

It can be divided in two parts, 91143 and 29961, that added together give a square (121104 = 3482).

The spelling of 9114329961 in words is "nine billion, one hundred fourteen million, three hundred twenty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 263 363 789 1089 1331 2367 2893 3993 8679 11979 14641 26037 31823 43923 69169 95469 131769 207507 286407 350053 622521 760859 1050159 2282577 3150477 3850583 6847731 8369449 11551749 25108347 34655247 75325041 92063939 276191817 828575451 1012703329 3038109987 9114329961