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104342132224 = 291137948883
BaseRepresentation
bin110000100101101000…
…1101001011000000000
3100222022210010111212201
41201023101221120000
53202143041212344
6115533434002544
710352460330061
oct1411321513000
9328283114781
10104342132224
1140284460330
121827bb76454
139abb291155
14509b9d4568
152aaa5424d4
hex184b469600

104342132224 has 80 divisors (see below), whose sum is σ = 228037993920. Its totient is φ = 47302133760.

The previous prime is 104342132197. The next prime is 104342132231. The reversal of 104342132224 is 422231243401.

It is a junction number, because it is equal to n+sod(n) for n = 104342132192 and 104342132201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2110087 + ... + 2158969.

It is an arithmetic number, because the mean of its divisors is an integer number (2850474924).

Almost surely, 2104342132224 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 104342132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114018996960).

104342132224 is an abundant number, since it is smaller than the sum of its proper divisors (123695861696).

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

104342132224 is an equidigital number, since it uses as much as digits as its factorization.

104342132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49291 (or 49275 counting only the distinct ones).

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

Adding to 104342132224 its reverse (422231243401), we get a palindrome (526573375625).

The spelling of 104342132224 in words is "one hundred four billion, three hundred forty-two million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 379 512 704 758 1408 1516 2816 3032 4169 5632 6064 8338 12128 16676 24256 33352 48512 48883 66704 97024 97766 133408 194048 195532 266816 391064 533632 537713 782128 1067264 1075426 1564256 2134528 2150852 3128512 4301704 6257024 8603408 12514048 17206816 18526657 25028096 34413632 37053314 68827264 74106628 137654528 148213256 203793227 275309056 296426512 407586454 592853024 815172908 1185706048 1630345816 2371412096 3260691632 4742824192 6521383264 9485648384 13042766528 26085533056 52171066112 104342132224