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14028310242 = 2331947421691
BaseRepresentation
bin11010001000010011…
…10000011011100010
31100012122201222221000
431010021300123202
5212212221411432
610240003212430
71004430445452
oct150411603342
940178658830
1014028310242
115a49685131
122876077116
1314274419bb
14971165d62
1557187657c
hex3442706e2

14028310242 has 128 divisors (see below), whose sum is σ = 33641164800. Its totient is φ = 4319179200.

The previous prime is 14028310237. The next prime is 14028310243. The reversal of 14028310242 is 24201382041.

14028310242 is a `hidden beast` number, since 1 + 402 + 8 + 3 + 10 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14028310243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20301117 + ... + 20301807.

It is an arithmetic number, because the mean of its divisors is an integer number (262821600).

Almost surely, 214028310242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14028310242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16820582400).

14028310242 is an abundant number, since it is smaller than the sum of its proper divisors (19612854558).

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

14028310242 is a wasteful number, since it uses less digits than its factorization.

14028310242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14028310242 its reverse (24201382041), we get a palindrome (38229692283).

The spelling of 14028310242 in words is "fourteen billion, twenty-eight million, three hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 47 54 57 94 114 141 171 282 342 421 423 513 691 842 846 893 1026 1263 1269 1382 1786 2073 2526 2538 2679 3789 4146 5358 6219 7578 7999 8037 11367 12438 13129 15998 16074 18657 19787 22734 23997 24111 26258 32477 37314 39387 39574 47994 48222 59361 64954 71991 78774 97431 118161 118722 143982 178083 194862 215973 236322 290911 292293 354483 356166 375953 431946 534249 581822 584586 617063 708966 751906 872733 876879 1068498 1127859 1234126 1745466 1753758 1851189 2255718 2618199 3383577 3702378 5236398 5527309 5553567 6767154 7854597 10150731 11054618 11107134 13672817 15709194 16581927 16660701 20301462 27345634 33163854 33321402 41018451 49745781 82036902 99491562 123055353 149237343 246110706 259783523 298474686 369166059 519567046 738332118 779350569 1558701138 2338051707 4676103414 7014155121 14028310242