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132244406512 = 24178913939301
BaseRepresentation
bin111101100101001100…
…0011000000011110000
3110122100100011220112221
41323022120120003300
54131314032002022
6140430252330424
712361065623401
oct1731230300360
9418310156487
10132244406512
11510a2579a49
1221768473a14
13c616b8361a
1465875c59a8
15368ee02cc7
hex1eca6180f0

132244406512 has 80 divisors (see below), whose sum is σ = 276324501600. Its totient is φ = 61089177600.

The previous prime is 132244406501. The next prime is 132244406527. The reversal of 132244406512 is 215604442231.

It is a super-3 number, since 3×1322444065123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3345262 + ... + 3384562.

It is an arithmetic number, because the mean of its divisors is an integer number (3454056270).

Almost surely, 2132244406512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132244406512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138162250800).

132244406512 is an abundant number, since it is smaller than the sum of its proper divisors (144080095088).

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

132244406512 is a wasteful number, since it uses less digits than its factorization.

132244406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39554 (or 39548 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 132244406512 its reverse (215604442231), we get a palindrome (347848848743).

It can be divided in two parts, 132244 and 406512, that added together give a square (538756 = 7342).

The spelling of 132244406512 in words is "one hundred thirty-two billion, two hundred forty-four million, four hundred six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 89 136 139 178 272 278 356 556 712 1112 1424 1513 2224 2363 3026 4726 6052 9452 12104 12371 18904 24208 24742 37808 39301 49484 78602 98968 157204 197936 210307 314408 420614 628816 668117 841228 1336234 1682456 2672468 3364912 3497789 5344936 5462839 6995578 10689872 10925678 13991156 21851356 27982312 43702712 55964624 59462413 87405424 92868263 118924826 185736526 237849652 371473052 475699304 486192671 742946104 951398608 972385342 1485892208 1944770684 3889541368 7779082736 8265275407 16530550814 33061101628 66122203256 132244406512