Search a number
-
+
134444022132 = 223767101236519
BaseRepresentation
bin111110100110101111…
…1001111100101110100
3110212000122010221221010
41331031133033211310
54200320132202012
6141432425552220
712466435222050
oct1751537174564
9425018127833
10134444022132
11520211667a2
1222081045670
13c8a77ac024
1467157a2c60
15376d095c3c
hex1f4d7cf974

134444022132 has 96 divisors (see below), whose sum is σ = 367472609280. Its totient is φ = 37464451200.

The previous prime is 134444022067. The next prime is 134444022169. The reversal of 134444022132 is 231220444431.

134444022132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 134444022132.

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, 450169 + ... + 686687.

It is an arithmetic number, because the mean of its divisors is an integer number (3827839680).

Almost surely, 2134444022132 is an apocalyptic number.

134444022132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134444022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183736304640).

134444022132 is an abundant number, since it is smaller than the sum of its proper divisors (233028587148).

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

134444022132 is a wasteful number, since it uses less digits than its factorization.

134444022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236701 (or 236699 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 134444022132 its reverse (231220444431), we get a palindrome (365664466563).

The spelling of 134444022132 in words is "one hundred thirty-four billion, four hundred forty-four million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 101 134 201 202 268 303 402 404 469 606 707 804 938 1212 1407 1414 1876 2121 2814 2828 4242 5628 6767 8484 13534 20301 27068 40602 47369 81204 94738 142107 189476 236519 284214 473038 568428 709557 946076 1419114 1655633 2838228 3311266 4966899 6622532 9933798 15846773 19867596 23888419 31693546 47540319 47776838 63387092 71665257 95080638 95553676 110927411 143330514 167218933 190161276 221854822 286661028 332782233 334437866 443709644 501656799 665564466 668875732 1003313598 1331128932 1600524073 2006627196 3201048146 4801572219 6402096292 9603144438 11203668511 19206288876 22407337022 33611005533 44814674044 67222011066 134444022132