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132104034244 = 22713253526739
BaseRepresentation
bin111101100001000000…
…0111001011111000100
3110121222120001021000001
41323002000321133010
54131022113043434
6140404315531044
712354442522660
oct1730200713704
9417876037001
10132104034244
1151030313206
1221729459a84
13c5c3a75a00
146572ac58a0
153682926114
hex1ec20397c4

132104034244 has 72 divisors (see below), whose sum is σ = 291493702080. Its totient is φ = 51274783872.

The previous prime is 132104034241. The next prime is 132104034269. The reversal of 132104034244 is 442430401231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (132104034241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12574 + ... + 514165.

It is an arithmetic number, because the mean of its divisors is an integer number (4048523640).

Almost surely, 2132104034244 is an apocalyptic number.

132104034244 is a gapful number since it is divisible by the number (14) 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 132104034244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145746851040).

132104034244 is an abundant number, since it is smaller than the sum of its proper divisors (159389667836).

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

132104034244 is a wasteful number, since it uses less digits than its factorization.

132104034244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526829 (or 526814 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132104034244 its reverse (442430401231), we get a palindrome (574534435475).

The spelling of 132104034244 in words is "one hundred thirty-two billion, one hundred four million, thirty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 169 182 212 338 364 371 676 689 742 1183 1378 1484 2366 2756 4732 4823 8957 9646 17914 19292 35828 62699 125398 250796 526739 1053478 2106956 3687173 6847607 7374346 13695214 14748692 27390428 27917167 47933249 55834334 89018891 95866498 111668668 178037782 191732996 195420169 356075564 362923171 390840338 623132237 725846342 781680676 1246264474 1451692684 2492528948 2540462197 4718001223 5080924394 9436002446 10161848788 18872004892 33026008561 66052017122 132104034244