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32041442104 = 23717173257757
BaseRepresentation
bin11101110101110100…
…011001101100111000
310001201000121220110221
4131311310121230320
51011110102121404
622415235145424
72213005523050
oct356564315470
9101630556427
1032041442104
1112652616771
126262745274
1330382bc4c9
14179d610560
15c77e75954
hex775d19b38

32041442104 has 128 divisors (see below), whose sum is σ = 73500773760. Its totient is φ = 12782665728.

The previous prime is 32041442057. The next prime is 32041442143. The reversal of 32041442104 is 40124414023.

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, 42326494 + ... + 42327250.

It is an arithmetic number, because the mean of its divisors is an integer number (574224795).

Almost surely, 232041442104 is an apocalyptic number.

32041442104 is a gapful number since it is divisible by the number (34) 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 32041442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36750386880).

32041442104 is an abundant number, since it is smaller than the sum of its proper divisors (41459331656).

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

32041442104 is a wasteful number, since it uses less digits than its factorization.

32041442104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 32041442104 its reverse (40124414023), we get a palindrome (72165856127).

The spelling of 32041442104 in words is "thirty-two billion, forty-one million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 173 238 257 346 476 514 692 757 952 1028 1211 1384 1514 1799 2056 2422 2941 3028 3598 4369 4844 5299 5882 6056 7196 8738 9688 10598 11764 12869 14392 17476 20587 21196 23528 25738 30583 34952 41174 42392 44461 51476 61166 82348 88922 90083 102952 122332 130961 164696 177844 180166 194549 244664 261922 311227 355688 360332 389098 523844 622454 720664 755837 778196 916727 1047688 1244908 1361843 1511674 1556392 1833454 2226337 2489816 2723686 3023348 3307333 3666908 4452674 5290859 5447372 6046696 6614666 7333816 8905348 10581718 10894744 13229332 15584359 17810696 21163436 23151331 26458664 31168718 33656977 42326872 46302662 62337436 67313954 92605324 124674872 134627908 185210648 235598839 269255816 471197678 572168609 942395356 1144337218 1884790712 2288674436 4005180263 4577348872 8010360526 16020721052 32041442104