Search a number
-
+
14234344100432 = 2410943318849641
BaseRepresentation
bin1100111100100011000100…
…0001100001001001010000
31212101210022220200201010122
43033020301001201021100
53331203414042203212
650135100054245412
72666253213343211
oct317106101411120
955353286621118
1014234344100432
11459882a179865
12171a865056868
137c33a6628731
14372d358c1408
1519a404542272
hexcf231061250

14234344100432 has 40 divisors (see below), whose sum is σ = 27896339181480. Its totient is φ = 7035590430720.

The previous prime is 14234344100429. The next prime is 14234344100497. The reversal of 14234344100432 is 23400144343241.

It can be written as a sum of positive squares in 4 ways, for example, as 2209373068816 + 12024971031616 = 1486396^2 + 3467704^2 .

It is a super-3 number, since 3×142343441004323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14234344100392 and 14234344100401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8669669 + ... + 10179972.

It is an arithmetic number, because the mean of its divisors is an integer number (697408479537).

Almost surely, 214234344100432 is an apocalyptic number.

It is an amenable number.

14234344100432 is a deficient number, since it is larger than the sum of its proper divisors (13661995081048).

14234344100432 is a wasteful number, since it uses less digits than its factorization.

14234344100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18850191 (or 18850185 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 14234344100432 its reverse (23400144343241), we get a palindrome (37634488443673).

The spelling of 14234344100432 in words is "fourteen trillion, two hundred thirty-four billion, three hundred forty-four million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 109 218 433 436 866 872 1732 1744 3464 6928 47197 94394 188788 377576 755152 18849641 37699282 75398564 150797128 301594256 2054610869 4109221738 8161894553 8218443476 16323789106 16436886952 32647578212 32873773904 65295156424 130590312848 889646506277 1779293012554 3558586025108 7117172050216 14234344100432