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14110441433214 = 23723761187110259
BaseRepresentation
bin1100110101010101011111…
…0110010110100001111110
31211221221111220222001122220
43031111113312112201332
53322141141001330324
650002125230150210
72654305615140240
oct315252766264176
954857456861586
1014110441433214
114550228370035
1216ba846352366
137b47bba3b429
1436ad40120090
151970a1b40b79
hexcd557d9687e

14110441433214 has 128 divisors (see below), whose sum is σ = 33720239554560. Its totient is φ = 3848768774400.

The previous prime is 14110441433201. The next prime is 14110441433243. The reversal of 14110441433214 is 41233414401141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1375415617 + ... + 1375425875.

It is an arithmetic number, because the mean of its divisors is an integer number (263439371520).

Almost surely, 214110441433214 is an apocalyptic number.

14110441433214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14110441433214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16860119777280).

14110441433214 is an abundant number, since it is smaller than the sum of its proper divisors (19609798121346).

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

14110441433214 is a wasteful number, since it uses less digits than its factorization.

14110441433214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12926.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 14110441433214 its reverse (41233414401141), we get a palindrome (55343855834355).

The spelling of 14110441433214 in words is "fourteen trillion, one hundred ten billion, four hundred forty-one million, four hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 761 966 1522 1871 2283 3742 4566 5327 5613 10259 10654 11226 13097 15981 17503 20518 26194 30777 31962 35006 39291 43033 52509 61554 71813 78582 86066 105018 122521 129099 143626 215439 235957 245042 258198 301231 367563 430878 471914 602462 707871 735126 903693 1415742 1423831 1651699 1807386 2847662 3303398 4271493 4955097 7807099 8542986 9910194 9966817 15614198 19194589 19933634 23421297 29900451 32748113 38389178 46842594 54649693 57583767 59800902 65496226 98244339 109299386 115167534 134362123 163949079 179563277 196488678 229236791 268724246 327898158 359126554 403086369 441475547 458473582 538689831 687710373 806172738 882951094 1077379662 1256942939 1324426641 1375420746 2513885878 2648853282 3090328829 3770828817 6180657658 7541657634 9270986487 14607082229 18541972974 29214164458 43821246687 87642493374 102249575603 204499151206 306748726809 335962891267 613497453618 671925782534 1007888673801 2015777347602 2351740238869 4703480477738 7055220716607 14110441433214