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144094435407 = 3413197202201
BaseRepresentation
bin1000011000110010110…
…0101001100001001111
3111202221012002202020000
42012030230221201033
54330101133413112
6150110203455343
713260536330526
oct2061454514117
9452835082200
10144094435407
115612360905a
1223b14b27553
1310784c29440
146d8d3254bd
153b353ec7dc
hex218cb2984f

144094435407 has 40 divisors (see below), whose sum is σ = 244010603760. Its totient is φ = 84006460800.

The previous prime is 144094435379. The next prime is 144094435417. The reversal of 144094435407 is 704534490441.

144094435407 is a `hidden beast` number, since 14 + 4 + 0 + 94 + 4 + 3 + 540 + 7 = 666.

It is not a de Polignac number, because 144094435407 - 220 = 144093386831 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144094435417) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3581094 + ... + 3621107.

It is an arithmetic number, because the mean of its divisors is an integer number (6100265094).

Almost surely, 2144094435407 is an apocalyptic number.

144094435407 is a deficient number, since it is larger than the sum of its proper divisors (99916168353).

144094435407 is a wasteful number, since it uses less digits than its factorization.

144094435407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202245 (or 7202236 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 144094435407 in words is "one hundred forty-four billion, ninety-four million, four hundred thirty-five thousand, four hundred seven".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 741 1053 1539 2223 6669 20007 7202201 21606603 64819809 93628613 136841819 194459427 280885839 410525457 583378281 842657517 1231576371 1778943647 2527972551 3694729113 5336830941 7583917653 11084187339 16010492823 48031478469 144094435407