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144601545645 = 32559122344533
BaseRepresentation
bin1000011010101011101…
…1000111101110101101
3111211020112022121200200
42012222323013232231
54332120443430040
6150232400544113
713306234600164
oct2065273075655
9454215277620
10144601545645
1156363891527
1224036922039
131083600097b
146dda80c3db
153b64bbc630
hex21aaec7bad

144601545645 has 48 divisors (see below), whose sum is σ = 255105002880. Its totient is φ = 75750000768.

The previous prime is 144601545637. The next prime is 144601545677. The reversal of 144601545645 is 546545106441.

144601545645 is a `hidden beast` number, since 1 + 4 + 4 + 60 + 1 + 545 + 6 + 45 = 666.

It is not a de Polignac number, because 144601545645 - 23 = 144601545637 is a prime.

It is a super-3 number, since 3×1446015456453 (a number of 34 digits) contains 333 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 144601545645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3224799 + ... + 3269331.

It is an arithmetic number, because the mean of its divisors is an integer number (5314687560).

Almost surely, 2144601545645 is an apocalyptic number.

144601545645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144601545645 is a deficient number, since it is larger than the sum of its proper divisors (110503457235).

144601545645 is a wasteful number, since it uses less digits than its factorization.

144601545645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45826 (or 45823 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 144601545645 in words is "one hundred forty-four billion, six hundred one million, five hundred forty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 59 177 295 531 885 1223 2655 3669 6115 11007 18345 44533 55035 72157 133599 216471 222665 360785 400797 649413 667995 1082355 2003985 2627447 3247065 7882341 13137235 23647023 39411705 54463859 118235115 163391577 272319295 490174731 816957885 2450873655 3213367681 9640103043 16066838405 28920309129 48200515215 144601545645