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132113433311334 = 23352314893141643
BaseRepresentation
bin11110000010100000001110…
…010000110011100001100110
3122022202220212022122101212000
4132002200032100303201212
5114304021302411430314
61144552023504310130
736553611015354156
oct3602401620634146
9568686768571760
10132113433311334
1139105aa0a06802
1212998575612346
135894321703507
14248a477bd0766
151041890ca6209
hex78280e433866

132113433311334 has 64 divisors (see below), whose sum is σ = 294344396332800. Its totient is φ = 43924075929216.

The previous prime is 132113433311323. The next prime is 132113433311341. The reversal of 132113433311334 is 433113334311231.

132113433311334 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 3 + 4 + 3 + 3 + 311 + 334 = 666.

It is a super-2 number, since 2×1321134333113342 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40481517 + ... + 43623159.

It is an arithmetic number, because the mean of its divisors is an integer number (4599131192700).

Almost surely, 2132113433311334 is an apocalyptic number.

132113433311334 is an abundant number, since it is smaller than the sum of its proper divisors (162230963021466).

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

132113433311334 is a wasteful number, since it uses less digits than its factorization.

132113433311334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143666 (or 3143660 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

Adding to 132113433311334 its reverse (433113334311231), we get a palindrome (565226767622565).

The spelling of 132113433311334 in words is "one hundred thirty-two trillion, one hundred thirteen billion, four hundred thirty-three million, three hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 523 1046 1489 1569 2978 3138 4467 4707 8934 9414 13401 14121 26802 28242 40203 80406 778747 1557494 2336241 3141643 4672482 6283286 7008723 9424929 14017446 18849858 21026169 28274787 42052338 56549574 84824361 169648722 1643079289 3286158578 4677906427 4929237867 9355812854 9858475734 14033719281 14787713601 28067438562 29575427202 42101157843 44363140803 84202315686 88726281606 126303473529 252606947058 2446545061321 4893090122642 7339635183963 14679270367926 22018905551889 44037811103778 66056716655667 132113433311334