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144261645 = 35112611303
BaseRepresentation
bin10001001100101…
…00001000001101
3101001110020202220
420212110020031
5243412333040
622152005553
73401126613
oct1046241015
9331406686
10144261645
1174482a00
12403908b9
1323b70028
14152336b3
15c9e92d0
hex899420d

144261645 has 48 divisors (see below), whose sum is σ = 258066816. Its totient is φ = 68745600.

The previous prime is 144261641. The next prime is 144261671. The reversal of 144261645 is 546162441.

It is not a de Polignac number, because 144261645 - 22 = 144261641 is a prime.

It is a super-3 number, since 3×1442616453 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144261641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110064 + ... + 111366.

It is an arithmetic number, because the mean of its divisors is an integer number (5376392).

Almost surely, 2144261645 is an apocalyptic number.

144261645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144261645 is a deficient number, since it is larger than the sum of its proper divisors (113805171).

144261645 is a wasteful number, since it uses less digits than its factorization.

144261645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1383 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 144261645 is about 12010.8969273739. The cubic root of 144261645 is about 524.4655422666.

The spelling of 144261645 in words is "one hundred forty-four million, two hundred sixty-one thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 61 121 165 183 305 363 605 671 915 1303 1815 2013 3355 3909 6515 7381 10065 14333 19545 22143 36905 42999 71665 79483 110715 157663 214995 238449 397415 472989 788315 874313 1192245 2364945 2622939 4371565 9617443 13114695 28852329 48087215 144261645