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13144201004 = 221131731011307
BaseRepresentation
bin11000011110111010…
…01001011100101100
31020221001010121001102
430033131021130230
5203404403413004
610012141502232
7643503602504
oct141735113454
936831117042
1013144201004
115635616840
122669b71978
13131622023c
148c9984a04
1551de3811e
hex30f74972c

13144201004 has 96 divisors (see below), whose sum is σ = 26538043392. Its totient is φ = 5641920000.

The previous prime is 13144200967. The next prime is 13144201027. The reversal of 13144201004 is 40010244131.

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, 10056119 + ... + 10057425.

It is an arithmetic number, because the mean of its divisors is an integer number (276437952).

Almost surely, 213144201004 is an apocalyptic number.

It is an amenable number.

13144201004 is an abundant number, since it is smaller than the sum of its proper divisors (13393842388).

13144201004 is a wasteful number, since it uses less digits than its factorization.

13144201004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13144201004 its reverse (40010244131), we get a palindrome (53154445135).

The spelling of 13144201004 in words is "thirteen billion, one hundred forty-four million, two hundred one thousand, four".

Divisors: 1 2 4 11 22 31 44 62 73 101 124 146 202 292 341 404 682 803 1111 1307 1364 1606 2222 2263 2614 3131 3212 4444 4526 5228 6262 7373 9052 12524 14377 14746 24893 28754 29492 34441 40517 49786 57508 68882 81034 81103 95411 99572 132007 137764 162068 162206 190822 228563 264014 324412 381644 445687 457126 528028 891374 914252 1049521 1452077 1782748 2099042 2514193 2904154 2957741 4092217 4198084 5028386 5808308 5915482 8184434 9636511 10056772 11830964 16368868 19273022 32535151 38546044 45014387 65070302 90028774 106001621 130140604 180057548 212003242 298731841 424006484 597463682 1194927364 3286050251 6572100502 13144201004