Search a number
-
+
14243313102032 = 2472291697327247
BaseRepresentation
bin1100111101000100011110…
…0111100010110011010000
31212102122110222110012100002
43033101013213202303100
53331330301123231112
650143142051145132
73000021401530010
oct317210747426320
955378428405302
1014243313102032
1145a1611a18483
1217205488a51a8
137c41a5844481
14373546b47c40
1519a77bb491c2
hexcf4479e2cd0

14243313102032 has 80 divisors (see below), whose sum is σ = 31695251612160. Its totient is φ = 6074020859904.

The previous prime is 14243313102001. The next prime is 14243313102037. The reversal of 14243313102032 is 23020131334241.

14243313102032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14243313101986 and 14243313102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14243313102037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43361033 + ... + 43688279.

It is an arithmetic number, because the mean of its divisors is an integer number (396190645152).

Almost surely, 214243313102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14243313102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15847625806080).

14243313102032 is an abundant number, since it is smaller than the sum of its proper divisors (17451938510128).

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

14243313102032 is a wasteful number, since it uses less digits than its factorization.

14243313102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329188 (or 329182 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 14243313102032 its reverse (23020131334241), we get a palindrome (37263444436273).

The spelling of 14243313102032 in words is "fourteen trillion, two hundred forty-three billion, three hundred thirteen million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 229 458 916 1603 1697 1832 3206 3394 3664 6412 6788 11879 12824 13576 23758 25648 27152 47516 95032 190064 327247 388613 654494 777226 1308988 1554452 2290729 2617976 2720291 3108904 4581458 5235952 5440582 6217808 9162916 10881164 18325832 21762328 36651664 43524656 74939563 149879126 299758252 524576941 555338159 599516504 1049153882 1110676318 1199033008 2098307764 2221352636 3887367113 4196615528 4442705272 7774734226 8393231056 8885410544 15549468452 31098936904 62197873808 127172438411 254344876822 508689753644 890207068877 1017379507288 1780414137754 2034759014576 3560828275508 7121656551016 14243313102032