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144403334102295 = 32573197223139071
BaseRepresentation
bin100000110101010110000101…
…011011101111110100010111
3200221021211020122012120001100
4200311112011123233310113
5122411401012012233140
61231041550442401143
742262540143431112
oct4065260533576427
9627254218176040
10144403334102295
1142014123571654
12142424005001b3
136276239809a58
142793231525579
1511a63de92c530
hex8355856efd17

144403334102295 has 48 divisors (see below), whose sum is σ = 255015827269632. Its totient is φ = 75574525340160.

The previous prime is 144403334102227. The next prime is 144403334102297. The reversal of 144403334102295 is 592201433304441.

144403334102295 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 0 + 3 + 3 + 3 + 410 + 229 + 5 = 666.

It is not a de Polignac number, because 144403334102295 - 211 = 144403334100247 is a prime.

It is a super-2 number, since 2×1444033341022952 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 144403334102295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144403334102297) 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, 110922391 + ... + 112216680.

It is an arithmetic number, because the mean of its divisors is an integer number (5312829734784).

Almost surely, 2144403334102295 is an apocalyptic number.

144403334102295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144403334102295 is a deficient number, since it is larger than the sum of its proper divisors (110612493167337).

144403334102295 is a wasteful number, since it uses less digits than its factorization.

144403334102295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223139352 (or 223139349 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 144403334102295 in words is "one hundred forty-four trillion, four hundred three billion, three hundred thirty-four million, one hundred two thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 45 73 197 219 365 591 657 985 1095 1773 2955 3285 8865 14381 43143 71905 129429 215715 647145 223139071 669417213 1115695355 2008251639 3347086065 10041258195 16289152183 43958396987 48867456549 81445760915 131875190961 146602369647 219791984935 244337282745 395625572883 659375954805 733011848235 1978127864415 3208962980051 9626888940153 16044814900255 28880666820459 48134444700765 144403334102295