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14144230000224 = 253249111909723
BaseRepresentation
bin1100110111010011010111…
…0011100000011001100000
31212002011201201010002221200
43031310311303200121200
53323214340340001344
650025434120321200
72656613130210042
oct315646563403140
955064651102850
1014144230000224
114563597106585
1217052b6013200
137b7a44c96a4c
1436c8277a1a92
15197dcd178069
hexcdd35ce0660

14144230000224 has 36 divisors (see below), whose sum is σ = 40222654063956. Its totient is φ = 4714743333312.

The previous prime is 14144230000171. The next prime is 14144230000343. The reversal of 14144230000224 is 42200003244141.

14144230000224 is a `hidden beast` number, since 1 + 4 + 14 + 423 + 0 + 0 + 0 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×141442300002243 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24555954574 + ... + 24555955149.

It is an arithmetic number, because the mean of its divisors is an integer number (1117295946221).

Almost surely, 214144230000224 is an apocalyptic number.

It is an amenable number.

14144230000224 is an abundant number, since it is smaller than the sum of its proper divisors (26078424063732).

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

14144230000224 is a wasteful number, since it uses less digits than its factorization.

14144230000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49111909739 (or 49111909728 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14144230000224 its reverse (42200003244141), we get a palindrome (56344233244365).

The spelling of 14144230000224 in words is "fourteen trillion, one hundred forty-four billion, two hundred thirty million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49111909723 98223819446 147335729169 196447638892 294671458338 392895277784 442007187507 589342916676 785790555568 884014375014 1178685833352 1571581111136 1768028750028 2357371666704 3536057500056 4714743333408 7072115000112 14144230000224