Search a number
-
+
14630633153442 = 2322931147899863
BaseRepresentation
bin1101010011100111010110…
…1100010010001110100010
31220210200012222110102212100
43110321311230102032202
53404202014041402232
651041115312111230
73040012504614615
oct324716554221642
956720188412770
1014630633153442
1147308a8aa4819
121783621535516
138218801ac547
143881aac9417c
151a589a260c7c
hexd4e75b123a2

14630633153442 has 48 divisors (see below), whose sum is σ = 32793887730240. Its totient is φ = 4708553111136.

The previous prime is 14630633153441. The next prime is 14630633153443. The reversal of 14630633153442 is 24435133603641.

14630633153442 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 0 + 633 + 1 + 5 + 3 + 4 + 4 + 2 = 666.

14630633153442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14630633153441) and next prime (14630633153443).

It is a super-2 number, since 2×146306331534422 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14630633153441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15808803 + ... + 16708665.

It is an arithmetic number, because the mean of its divisors is an integer number (683205994380).

Almost surely, 214630633153442 is an apocalyptic number.

14630633153442 is an abundant number, since it is smaller than the sum of its proper divisors (18163254576798).

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

14630633153442 is a wasteful number, since it uses less digits than its factorization.

14630633153442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931047 (or 931044 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 14630633153442 in words is "fourteen trillion, six hundred thirty billion, six hundred thirty-three million, one hundred fifty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 31147 62294 93441 186882 280323 560646 899863 903263 1799726 1806526 2699589 2709789 5399178 5419578 8098767 8129367 16197534 16258734 26096027 52192054 78288081 156576162 234864243 469728486 28028032861 56056065722 84084098583 168168197166 252252295749 504504591498 812812952969 1625625905938 2438438858907 4876877717814 7315316576721 14630633153442