Search a number
-
+
14001224432031 = 33518563867853
BaseRepresentation
bin1100101110111110101000…
…0000100011100110011111
31211120111121101220112202000
43023233222000203212133
53313344001423311111
645440023530533343
72643361252014204
oct313575200434637
954514541815660
1014001224432031
1145089821a9591
1216a1645897253
137a7404820c45
1436593cd1bcab
1519430d662c56
hexcbbea02399f

14001224432031 has 8 divisors (see below), whose sum is σ = 20742554714160. Its totient is φ = 9334149621336.

The previous prime is 14001224432021. The next prime is 14001224432057. The reversal of 14001224432031 is 13023442210041.

14001224432031 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 224 + 432 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 14001224432031 - 231 = 13999076948383 is a prime.

It is a super-2 number, since 2×140012244320312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 518563867853 = 14001224432031 / (1 + 4 + 0 + 0 + 1 + 2 + 2 + 4 + 4 + 3 + 2 + 0 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 14001224431986 and 14001224432004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001224432021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259281933900 + ... + 259281933953.

It is an arithmetic number, because the mean of its divisors is an integer number (2592819339270).

Almost surely, 214001224432031 is an apocalyptic number.

14001224432031 is a deficient number, since it is larger than the sum of its proper divisors (6741330282129).

14001224432031 is an equidigital number, since it uses as much as digits as its factorization.

14001224432031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518563867862 (or 518563867856 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14001224432031 its reverse (13023442210041), we get a palindrome (27024666642072).

The spelling of 14001224432031 in words is "fourteen trillion, one billion, two hundred twenty-four million, four hundred thirty-two thousand, thirty-one".

Divisors: 1 3 9 27 518563867853 1555691603559 4667074810677 14001224432031