Search a number
-
+
14934846529944 = 23331126935965089
BaseRepresentation
bin1101100101010100101000…
…1110001110000110011000
31221212202110010121011121000
43121111022032032012120
53424143031202424234
651432550200345000
73101002263632625
oct331251216160630
957782403534530
1014934846529944
114838918574160
121812581a75160
13844471bbb533
14398bc981134c
151ad752792899
hexd954a38e198

14934846529944 has 256 divisors, whose sum is σ = 45552585600000. Its totient is φ = 4496258211840.

The previous prime is 14934846529907. The next prime is 14934846529949. The reversal of 14934846529944 is 44992564843941.

14934846529944 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 4 + 8 + 4 + 6 + 529 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14934846529949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229420152 + ... + 229485240.

It is an arithmetic number, because the mean of its divisors is an integer number (177939787500).

Almost surely, 214934846529944 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 14934846529944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22776292800000).

14934846529944 is an abundant number, since it is smaller than the sum of its proper divisors (30617739070056).

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

14934846529944 is a wasteful number, since it uses less digits than its factorization.

14934846529944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65743 (or 65733 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 14934846529944 in words is "fourteen trillion, nine hundred thirty-four billion, eight hundred forty-six million, five hundred twenty-nine thousand, nine hundred forty-four".