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141464520144 = 2433327464167
BaseRepresentation
bin1000001110111111110…
…0010100010111010000
3111112010220110012201000
42003233330110113100
54304204404121034
6144553215342000
713135423403223
oct2035774242720
9445126405630
10141464520144
1154aa4040872
1223500221900
1310456110c6c
146bbdd375ba
153a2e5ad599
hex20eff145d0

141464520144 has 40 divisors (see below), whose sum is σ = 406055568320. Its totient is φ = 47154839904.

The previous prime is 141464520139. The next prime is 141464520149. The reversal of 141464520144 is 441025464141.

141464520144 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 645 + 2 + 0 + 1 + 4 + 4 = 666.

141464520144 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 (141464520139) and next prime (141464520149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141464520099 and 141464520108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141464520149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163731652 + ... + 163732515.

It is an arithmetic number, because the mean of its divisors is an integer number (10151389208).

Almost surely, 2141464520144 is an apocalyptic number.

It is an amenable number.

141464520144 is an abundant number, since it is smaller than the sum of its proper divisors (264591048176).

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

141464520144 is a wasteful number, since it uses less digits than its factorization.

141464520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327464184 (or 327464172 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 141464520144 its reverse (441025464141), we get a palindrome (582489984285).

The spelling of 141464520144 in words is "one hundred forty-one billion, four hundred sixty-four million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 327464167 654928334 982392501 1309856668 1964785002 2619713336 2947177503 3929570004 5239426672 5894355006 7859140008 8841532509 11788710012 15718280016 17683065018 23577420024 35366130036 47154840048 70732260072 141464520144