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144345645 = 3651992
BaseRepresentation
bin10001001101010…
…00101000101101
3101001121112000000
420212220220231
5243423030040
622153454513
73401626533
oct1046505055
9331545000
10144345645
1174530024
1240411439
1323b9c332
1415256153
15ca14130
hex89a8a2d

144345645 has 42 divisors (see below), whose sum is σ = 261014958. Its totient is φ = 76597488.

The previous prime is 144345637. The next prime is 144345647. The reversal of 144345645 is 546543441.

144345645 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 4 + 5 + 645 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115476516 + 28869129 = 10746^2 + 5373^2 .

It is not a de Polignac number, because 144345645 - 23 = 144345637 is a prime.

It is a super-3 number, since 3×1443456453 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144345647) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 725256 + ... + 725454.

Almost surely, 2144345645 is an apocalyptic number.

144345645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144345645 is a deficient number, since it is larger than the sum of its proper divisors (116669313).

144345645 is an frugal number, since it uses more digits than its factorization.

144345645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 207 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 144345645 is about 12014.3932431064. The cubic root of 144345645 is about 524.5673169681.

The spelling of 144345645 in words is "one hundred forty-four million, three hundred forty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 199 243 405 597 729 995 1215 1791 2985 3645 5373 8955 16119 26865 39601 48357 80595 118803 145071 198005 241785 356409 594015 725355 1069227 1782045 3207681 5346135 9623043 16038405 28869129 48115215 144345645