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144344414131434 = 23211729012192583
BaseRepresentation
bin100000110100011111001101…
…100001111001010011101010
3200221002012011101212220202100
4200310133031201321103222
5122404414330004201214
61230554524115114230
742255353100101316
oct4064371541712352
9627065141786670
10144344414131434
1141aa11387a9460
1214232ab82a2976
136270809a5a47a
142790442292b46
1511a4ae1e18309
hex8347cd8794ea

144344414131434 has 24 divisors (see below), whose sum is σ = 341177706129312. Its totient is φ = 43740731554920.

The previous prime is 144344414131391. The next prime is 144344414131439. The reversal of 144344414131434 is 434131414443441.

144344414131434 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 4 + 44 + 141 + 31 + 434 = 666.

144344414131434 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144344414131434.

It is not an unprimeable number, because it can be changed into a prime (144344414131439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364506096094 + ... + 364506096489.

It is an arithmetic number, because the mean of its divisors is an integer number (14215737755388).

Almost surely, 2144344414131434 is an apocalyptic number.

144344414131434 is an abundant number, since it is smaller than the sum of its proper divisors (196833291997878).

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

144344414131434 is a wasteful number, since it uses less digits than its factorization.

144344414131434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729012192602 (or 729012192599 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

Adding to 144344414131434 its reverse (434131414443441), we get a palindrome (578475828574875).

The spelling of 144344414131434 in words is "one hundred forty-four trillion, three hundred forty-four billion, four hundred fourteen million, one hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 729012192583 1458024385166 2187036577749 4374073155498 6561109733247 8019134118413 13122219466494 16038268236826 24057402355239 48114804710478 72172207065717 144344414131434