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144725949045 = 33517936716319
BaseRepresentation
bin1000011011001001010…
…1101011101001110101
3111211120012101222002000
42012302111223221311
54332344320332140
6150253003205513
713312305161256
oct2066225535165
9454505358060
10144725949045
1156418030657
1224070516899
1310855a09c52
14700d152b2d
153b70a92a30
hex21b256ba75

144725949045 has 64 divisors (see below), whose sum is σ = 259448832000. Its totient is φ = 76542124608.

The previous prime is 144725949037. The next prime is 144725949059. The reversal of 144725949045 is 540949527441.

144725949045 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 2 + 594 + 9 + 0 + 45 = 666.

It is not a de Polignac number, because 144725949045 - 23 = 144725949037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144725948982 and 144725949000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8860396 + ... + 8876714.

It is an arithmetic number, because the mean of its divisors is an integer number (4053888000).

Almost surely, 2144725949045 is an apocalyptic number.

144725949045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144725949045 is a deficient number, since it is larger than the sum of its proper divisors (114722882955).

144725949045 is a wasteful number, since it uses less digits than its factorization.

144725949045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16879 (or 16873 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 144725949045 in words is "one hundred forty-four billion, seven hundred twenty-five million, nine hundred forty-nine thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 135 179 367 537 895 1101 1611 1835 2685 3303 4833 5505 8055 9909 16319 16515 24165 48957 49545 65693 81595 146871 197079 244785 328465 440613 591237 734355 985395 1773711 2203065 2921101 2956185 5989073 8763303 8868555 14605505 17967219 26289909 29945365 43816515 53901657 78869727 89836095 131449545 161704971 269508285 394348635 808524855 1072044067 3216132201 5360220335 9648396603 16080661005 28945189809 48241983015 144725949045