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13032401304342 = 2372611913804643
BaseRepresentation
bin1011110110100101011110…
…1001100111101100010110
31201010212220110021022221110
42331221113221213230112
53202010324213214332
643415000312555450
72513363024215500
oct275512751475426
951125813238843
1013032401304342
114175012867272
1215659249b2b86
13736c476a4a54
14330ab334cd70
15179008ee34cc
hexbda57a67b16

13032401304342 has 96 divisors (see below), whose sum is σ = 30978689808384. Its totient is φ = 3643325179200.

The previous prime is 13032401304289. The next prime is 13032401304407. The reversal of 13032401304342 is 24340310423031.

It is a happy number.

It is a congruent number.

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, 1523073 + ... + 5327715.

It is an arithmetic number, because the mean of its divisors is an integer number (322694685504).

Almost surely, 213032401304342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032401304342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489344904192).

13032401304342 is an abundant number, since it is smaller than the sum of its proper divisors (17946288504042).

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

13032401304342 is a wasteful number, since it uses less digits than its factorization.

13032401304342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804914 (or 3804907 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13032401304342 its reverse (24340310423031), we get a palindrome (37372711727373).

The spelling of 13032401304342 in words is "thirteen trillion, thirty-two billion, four hundred one million, three hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 191 294 366 382 427 573 854 1146 1281 1337 2562 2674 2989 4011 5978 8022 8967 9359 11651 17934 18718 23302 28077 34953 56154 69906 81557 163114 244671 489342 570899 1141798 1712697 3425394 3804643 7609286 11413929 22827858 26632501 53265002 79897503 159795006 186427507 232083223 372855014 464166446 559282521 696249669 726686813 1118565042 1392499338 1453373626 1624582561 2180060439 3249165122 4360120878 4873747683 5086807691 9747495366 10173615382 11372077927 15260423073 22744155854 30520846146 34116233781 35607653837 44327895593 68232467562 71215307674 88655791186 106822961511 132983686779 213645923022 265967373558 310295269151 620590538302 930885807453 1861771614906 2172066884057 4344133768114 6516200652171 13032401304342