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14023433004201 = 344783389114089
BaseRepresentation
bin1100110000010001010110…
…1111100010010010101001
31211122121221011020220110000
43030010111233202102221
53314224442322113301
645454135353413213
72645105512532055
oct314042557422251
954577834226400
1014023433004201
114517339382565
1216a5a0340a209
137a953393bbca
14366a48672c65
15194bad240786
hexcc115be24a9

14023433004201 has 80 divisors (see below), whose sum is σ = 21707913427200. Its totient is φ = 9016482339072.

The previous prime is 14023433004179. The next prime is 14023433004223. The reversal of 14023433004201 is 10240033432041.

14023433004201 is a `hidden beast` number, since 1 + 4 + 0 + 23 + 433 + 0 + 0 + 4 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (14023433004179) and next prime (14023433004223).

It is not a de Polignac number, because 14023433004201 - 218 = 14023432742057 is a prime.

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 (14023433004101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122859565 + ... + 122973653.

It is an arithmetic number, because the mean of its divisors is an integer number (271348917840).

Almost surely, 214023433004201 is an apocalyptic number.

It is an amenable number.

14023433004201 is a deficient number, since it is larger than the sum of its proper divisors (7684480422999).

14023433004201 is a wasteful number, since it uses less digits than its factorization.

14023433004201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114620 (or 114611 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14023433004201 its reverse (10240033432041), we get a palindrome (24263466436242).

The spelling of 14023433004201 in words is "fourteen trillion, twenty-three billion, four hundred thirty-three million, four thousand, two hundred one".

Divisors: 1 3 9 27 47 81 83 141 249 389 423 747 1167 1269 2241 3501 3807 3901 6723 10503 11703 18283 31509 32287 35109 54849 96861 105327 114089 164547 290583 315981 342267 493641 871749 1026801 1480923 1517489 2615247 3080403 4552467 5362183 9241209 9469387 13657401 16086549 28408161 40972203 44380621 48259647 85224483 122916609 133141863 144778941 255673449 399425589 434336823 445061189 767020347 1198276767 1335183567 2085889187 3594830301 3683591543 4005550701 6257667561 11050774629 12016652103 18773002683 33152323887 36049956309 56319008049 99456971661 168957024147 173128802521 298370914983 519386407563 1558159222689 4674477668067 14023433004201