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14332214201004 = 22327536117591669
BaseRepresentation
bin1101000010001111101010…
…0010010100101010101100
31212202010221122112221122100
43100203322202110222230
53334304333313413004
650252043414215100
73006316425435330
oct320437242245254
955663848487570
1014332214201004
1146262923049a7
121735819654490
137cc6a2aac04b
1437797bb117c0
1519cc317aa739
hexd08fa894aac

14332214201004 has 144 divisors (see below), whose sum is σ = 42876951324480. Its totient is φ = 3951792299520.

The previous prime is 14332214200981. The next prime is 14332214201059. The reversal of 14332214201004 is 40010241223341.

14332214201004 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 221 + 420 + 10 + 0 + 4 = 666.

It is a super-2 number, since 2×143322142010042 (a number of 27 digits) contains 22 as substring.

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, 7981119 + ... + 9610550.

It is an arithmetic number, because the mean of its divisors is an integer number (297756606420).

Almost surely, 214332214201004 is an apocalyptic number.

14332214201004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14332214201004 is an abundant number, since it is smaller than the sum of its proper divisors (28544737123476).

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

14332214201004 is a wasteful number, since it uses less digits than its factorization.

14332214201004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17591800 (or 17591795 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14332214201004 its reverse (40010241223341), we get a palindrome (54342455424345).

The spelling of 14332214201004 in words is "fourteen trillion, three hundred thirty-two billion, two hundred fourteen million, two hundred one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 61 63 84 106 122 126 159 183 212 244 252 318 366 371 427 477 549 636 732 742 854 954 1098 1113 1281 1484 1708 1908 2196 2226 2562 3233 3339 3843 4452 5124 6466 6678 7686 9699 12932 13356 15372 19398 22631 29097 38796 45262 58194 67893 90524 116388 135786 203679 271572 407358 814716 17591669 35183338 52775007 70366676 105550014 123141683 158325021 211100028 246283366 316650042 369425049 492566732 633300084 738850098 932358457 1073091809 1108275147 1477700196 1864716914 2146183618 2216550294 2797075371 3219275427 3729433828 4292367236 4433100588 5594150742 6438550854 6526509199 7511642663 8391226113 9657826281 11188301484 12877101708 13053018398 15023285326 16782452226 19315652562 19579527597 22534927989 26106036796 30046570652 33564904452 38631305124 39159055194 45069855978 56873865877 58738582791 67604783967 78318110388 90139711956 113747731754 117477165582 135209567934 170621597631 227495463508 234954331164 270419135868 341243195262 398117061139 511864792893 682486390524 796234122278 1023729585786 1194351183417 1592468244556 2047459171572 2388702366834 3583053550251 4777404733668 7166107100502 14332214201004