Search a number
-
+
132103343441034 = 2337734799994559
BaseRepresentation
bin11110000010010110110100…
…110111000000010010001010
3122022201221211010202212212000
4132002112310313000102022
5114303340121410103114
61144543234351331430
736553103000026530
oct3602266467002212
9568657733685760
10132103343441034
1139101793499919
121299661a520b76
1358933a420b164
142489b9bb56150
1510414a0094e09
hex7825b4dc048a

132103343441034 has 128 divisors (see below), whose sum is σ = 340806500352000. Its totient is φ = 37149052477824.

The previous prime is 132103343441029. The next prime is 132103343441053. The reversal of 132103343441034 is 430144343301231.

132103343441034 is a `hidden beast` number, since 1 + 3 + 210 + 3 + 3 + 434 + 4 + 1 + 0 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132103343441034.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8220247 + ... + 18214805.

It is an arithmetic number, because the mean of its divisors is an integer number (2662550784000).

Almost surely, 2132103343441034 is an apocalyptic number.

132103343441034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132103343441034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170403250176000).

132103343441034 is an abundant number, since it is smaller than the sum of its proper divisors (208703156910966).

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

132103343441034 is a wasteful number, since it uses less digits than its factorization.

132103343441034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9995129 (or 9995123 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 132103343441034 its reverse (430144343301231), we get a palindrome (562247686742265).

The spelling of 132103343441034 in words is "one hundred thirty-two trillion, one hundred three billion, three hundred forty-three million, four hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 479 511 657 958 1022 1314 1437 1533 1971 2874 3066 3353 3942 4311 4599 6706 8622 9198 10059 12933 13797 20118 25866 27594 30177 34967 60354 69934 90531 104901 181062 209802 244769 314703 489538 629406 734307 944109 1468614 1888218 2202921 4405842 6608763 9994559 13217526 19989118 29983677 59967354 69961913 89951031 139923826 179902062 209885739 269853093 419771478 539706186 629657217 729602807 1259314434 1459205614 1888971651 2188808421 3777943302 4377616842 4787393761 5107219649 6566425263 9574787522 10214439298 13132850526 14362181283 15321658947 19699275789 28724362566 30643317894 33511756327 39398551578 43086543849 45964976841 67023512654 86173087698 91929953682 100535268981 129259631547 137894930523 201070537962 258519263094 275789861046 301605806943 349479744553 603211613886 698959489106 904817420829 1048439233659 1809634841658 2096878467318 2446358211871 3145317700977 4892716423742 6290635401954 7339074635613 9435953102931 14678149271226 18871906205862 22017223906839 44034447813678 66051671720517 132103343441034