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13042441242 = 232171133471087
BaseRepresentation
bin11000010010110001…
…11101110000011010
31020122221122122220100
430021120331300122
5203202331104432
65554104440230
7641126631015
oct141130756032
936587578810
1013042441242
115593133166
12263ba79076
1312cb11176c
148ba25637c
1551503707c
hex30963dc1a

13042441242 has 96 divisors (see below), whose sum is σ = 30300521472. Its totient is φ = 4040128512.

The previous prime is 13042441231. The next prime is 13042441261. The reversal of 13042441242 is 24214424031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11998023 + ... + 11999109.

It is an arithmetic number, because the mean of its divisors is an integer number (315630432).

Almost surely, 213042441242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042441242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150260736).

13042441242 is an abundant number, since it is smaller than the sum of its proper divisors (17258080230).

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

13042441242 is a wasteful number, since it uses less digits than its factorization.

13042441242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13042441242 its reverse (24214424031), we get a palindrome (37256865273).

The spelling of 13042441242 in words is "thirteen billion, forty-two million, four hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 347 678 694 1017 1041 1087 1921 2034 2082 2174 3123 3261 3842 5763 5899 6246 6522 9783 11526 11798 17289 17697 18479 19566 34578 35394 36958 39211 53091 55437 78422 106182 110874 117633 122831 166311 235266 245662 332622 352899 368493 377189 666587 705798 736986 754378 1105479 1131567 1333174 1999761 2088127 2210958 2263134 3394701 3999522 4176254 5999283 6264381 6412213 6789402 11998566 12528762 12824426 18793143 19236639 37586286 38473278 42622357 57709917 85244714 115419834 127867071 255734142 383601213 724580069 767202426 1449160138 2173740207 4347480414 6521220621 13042441242