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144618175104 = 2731328969987
BaseRepresentation
bin1000011010101111101…
…0100011101010000000
3111211021200121111000120
42012223322203222000
54332134223100404
6150234153220240
713306526130444
oct2065372435200
9454250544016
10144618175104
115637220a487
1224040401680
13108395a3ba0
146ddcada824
153b663a49d9
hex21abea3a80

144618175104 has 64 divisors (see below), whose sum is σ = 413691428640. Its totient is φ = 44497898496.

The previous prime is 144618175063. The next prime is 144618175111. The reversal of 144618175104 is 401571816441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1446181751043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14480002 + ... + 14489985.

Almost surely, 2144618175104 is an apocalyptic number.

It is an amenable number.

144618175104 is an abundant number, since it is smaller than the sum of its proper divisors (269073253536).

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

144618175104 is a wasteful number, since it uses less digits than its factorization.

144618175104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28970017 (or 28970005 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 144618175104 in words is "one hundred forty-four billion, six hundred eighteen million, one hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 28969987 57939974 86909961 115879948 173819922 231759896 347639844 376609831 463519792 695279688 753219662 927039584 1129829493 1390559376 1506439324 1854079168 2259658986 2781118752 3012878648 3708158336 4519317972 5562237504 6025757296 9038635944 11124475008 12051514592 18077271888 24103029184 36154543776 48206058368 72309087552 144618175104