Search a number
-
+
158359044278241 = 3843236132
BaseRepresentation
bin100100000000011011010110…
…100101001100011111100001
3202202200222101002000100000000
4210000123112211030133201
5131224023310313400431
61320445050213050213
745233030512606212
oct4400332645143741
9682628332010000
10158359044278241
114650476a0a0964
1215917063626969
136a49269a12901
142b1689378b409
15134943741e9e6
hex9006d694c7e1

158359044278241 has 81 divisors (see below), whose sum is σ = 243246157652979. Its totient is φ = 103088976513264.

The previous prime is 158359044278233. The next prime is 158359044278249. The reversal of 158359044278241 is 142872440953851.

The square root of 158359044278241 is 12584079.

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

158359044278241 is a `hidden beast` number, since 1 + 5 + 8 + 3 + 5 + 90 + 4 + 427 + 82 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (158359044278233) and next prime (158359044278249).

It can be written as a sum of positive squares in only one way, i.e., 87648563025 + 158271395715216 = 296055^2 + 12580596^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 158359044278241 - 23 = 158359044278233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (158359044278249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43830345351 + ... + 43830348963.

Almost surely, 2158359044278241 is an apocalyptic number.

158359044278241 is the 12584079-th square number.

158359044278241 is the 6292040-th centered octagonal number.

It is an amenable number.

158359044278241 is a deficient number, since it is larger than the sum of its proper divisors (84887113374738).

158359044278241 is an frugal number, since it uses more digits than its factorization.

158359044278241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 158359044278241 in words is "one hundred fifty-eight trillion, three hundred fifty-nine billion, forty-four million, two hundred seventy-eight thousand, two hundred forty-one".

Divisors: 1 3 9 27 43 81 129 243 387 729 1161 1849 2187 3483 3613 5547 6561 10449 10839 16641 31347 32517 49923 94041 97551 149769 155359 282123 292653 449307 466077 877959 1347921 1398231 2633877 4043763 4194693 6680437 7901631 12131289 12584079 13053769 20041311 23704893 37752237 39161307 60123933 113256711 117483921 180371799 339770133 352451763 541115397 561312067 1019310399 1057355289 1623346191 1683936201 3172065867 4870038573 5051808603 9516197601 14610115719 15155425809 24136418881 28548592803 43830347157 45466277427 72409256643 85645778409 136398832281 217227769929 409196496843 651683309787 1227589490529 1955049929361 3682768471587 5865149788083 17595449364249 52786348092747 158359044278241