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320231141334 = 23313773590129
BaseRepresentation
bin1001010100011110100…
…00110110111111010110
31010121120110101111022000
410222033100312333112
520221313133010314
6403040120420130
732064424534566
oct4521720667726
91117513344260
10320231141334
1111389a149215
1252090917646
1324275375160
14116dbdd4da6
1584e3886209
hex4a8f436fd6

320231141334 has 64 divisors (see below), whose sum is σ = 767357841600. Its totient is φ = 98405024256.

The previous prime is 320231141273. The next prime is 320231141353. The reversal of 320231141334 is 433141132023.

It is a happy number.

320231141334 is a `hidden beast` number, since 3 + 202 + 3 + 11 + 413 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 320231141298 and 320231141307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247582 + ... + 837710.

It is an arithmetic number, because the mean of its divisors is an integer number (11989966275).

Almost surely, 2320231141334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320231141334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383678920800).

320231141334 is an abundant number, since it is smaller than the sum of its proper divisors (447126700266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320231141334 is a wasteful number, since it uses less digits than its factorization.

320231141334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590926 (or 590920 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 320231141334 its reverse (433141132023), we get a palindrome (753372273357).

The spelling of 320231141334 in words is "three hundred twenty billion, two hundred thirty-one million, one hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 773 1546 2319 4638 6957 10049 13914 20098 20871 30147 41742 60294 90441 180882 271323 542646 590129 1180258 1770387 3540774 5311161 7671677 10622322 15343354 15933483 23015031 31866966 46030062 69045093 138090186 207135279 414270558 456169717 912339434 1368509151 2737018302 4105527453 5930206321 8211054906 11860412642 12316582359 17790618963 24633164718 35581237926 53371856889 106743713778 160115570667 320231141334