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144153120195 = 32572319896911
BaseRepresentation
bin1000011001000000110…
…0100000110111000011
3111210002021112020121200
42012100030200313003
54330211144321240
6150120101352243
713262151206310
oct2062014406703
9453067466550
10144153120195
1156153750887
1223b30708683
1310794135876
146d9703dd07
153b3a640930
hex2190320dc3

144153120195 has 48 divisors (see below), whose sum is σ = 297976154112. Its totient is φ = 63033410880.

The previous prime is 144153120191. The next prime is 144153120203. The reversal of 144153120195 is 591021351441.

144153120195 is a `hidden beast` number, since 1 + 4 + 415 + 31 + 20 + 195 = 666.

It is not a de Polignac number, because 144153120195 - 22 = 144153120191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144153120191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9941211 + ... + 9955700.

It is an arithmetic number, because the mean of its divisors is an integer number (6207836544).

Almost surely, 2144153120195 is an apocalyptic number.

144153120195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144153120195 is an abundant number, since it is smaller than the sum of its proper divisors (153823033917).

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

144153120195 is a wasteful number, since it uses less digits than its factorization.

144153120195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19896952 (or 19896949 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 144153120195 in words is "one hundred forty-four billion, one hundred fifty-three million, one hundred twenty thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 19896911 59690733 99484555 139278377 179072199 298453665 417835131 457628953 696391885 895360995 1253505393 1372886859 2089175655 2288144765 3203402671 4118660577 6267526965 6864434295 9610208013 16017013355 20593302885 28830624039 48051040065 144153120195