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144574905969 = 33131384129759
BaseRepresentation
bin1000011010100101010…
…1011111111001110001
3111211011200012011221000
42012221111133321301
54332042133442334
6150230005552213
713305462265404
oct2065125377161
9454150164830
10144574905969
115634a84676a
1224029a15669
1310830634350
146dd7075d3b
153b626a9299
hex21a955fe71

144574905969 has 32 divisors (see below), whose sum is σ = 230685235200. Its totient is φ = 88959755520.

The previous prime is 144574905953. The next prime is 144574905973. The reversal of 144574905969 is 969509475441.

144574905969 is a `hidden beast` number, since 1 + 4 + 4 + 57 + 490 + 5 + 96 + 9 = 666.

It is not a de Polignac number, because 144574905969 - 24 = 144574905953 is a prime.

It is a super-2 number, since 2×1445749059692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144574905929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4843312 + ... + 4873070.

It is an arithmetic number, because the mean of its divisors is an integer number (7208913600).

Almost surely, 2144574905969 is an apocalyptic number.

It is an amenable number.

144574905969 is a deficient number, since it is larger than the sum of its proper divisors (86110329231).

144574905969 is a wasteful number, since it uses less digits than its factorization.

144574905969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43622 (or 43616 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 144574905969 in words is "one hundred forty-four billion, five hundred seventy-four million, nine hundred five thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 27 39 117 351 13841 29759 41523 89277 124569 179933 267831 373707 386867 539799 803493 1160601 1619397 3481803 4858191 10445409 411894319 1235682957 3707048871 5354626147 11121146613 16063878441 48191635323 144574905969