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144095424081375 = 35313172317154983
BaseRepresentation
bin100000110000110111010100…
…100100001110110111011111
3200220012101110212011211111110
4200300313110210032313133
5122341324412031101000
61230244305102153103
742231356636433114
oct4060672444166737
9626171425154443
10144095424081375
1141a05587374588
12141b27a9b82793
1362531a8cb05c0
142782381a5c90b
15119d3bcae8850
hex830dd490eddf

144095424081375 has 64 divisors (see below), whose sum is σ = 258368880946176. Its totient is φ = 70898109609600.

The previous prime is 144095424081341. The next prime is 144095424081419. The reversal of 144095424081375 is 573180424590441.

It is not a de Polignac number, because 144095424081375 - 26 = 144095424081311 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177867 + ... + 16977116.

It is an arithmetic number, because the mean of its divisors is an integer number (4037013764784).

Almost surely, 2144095424081375 is an apocalyptic number.

144095424081375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144095424081375 is a deficient number, since it is larger than the sum of its proper divisors (114273456864801).

144095424081375 is a wasteful number, since it uses less digits than its factorization.

144095424081375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17156737 (or 17156727 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 144095424081375 in words is "one hundred forty-four trillion, ninety-five billion, four hundred twenty-four million, eighty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 195 325 375 975 1625 1723 4875 5169 8615 22399 25845 43075 67197 111995 129225 215375 335985 559975 646125 1679925 2799875 8399625 17154983 51464949 85774915 223014779 257324745 428874575 669044337 1115073895 1286623725 2144372875 3345221685 5575369475 6433118625 16726108425 27876847375 29558035709 83630542125 88674107127 147790178545 384254464217 443370535635 738950892725 1152763392651 1921272321085 2216852678175 3694754463625 5763816963255 9606361605425 11084263390875 28819084816275 48031808027125 144095424081375