Search a number
-
+
144036912 = 2433196799
BaseRepresentation
bin10001001010111…
…01010000110000
3101001000211111110
420211131100300
5243333140122
622143113320
73366202455
oct1045352060
9331024443
10144036912
117433a078
12402a2840
1323ac1956
14151b582c
15c9a290c
hex895d430

144036912 has 40 divisors (see below), whose sum is σ = 384102400. Its totient is φ = 46463040.

The previous prime is 144036911. The next prime is 144036913. The reversal of 144036912 is 219630441.

It is an interprime number because it is at equal distance from previous prime (144036911) and next prime (144036913).

It is a super-3 number, since 3×1440369123 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144036912.

It is not an unprimeable number, because it can be changed into a prime (144036911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46912 + ... + 49887.

It is an arithmetic number, because the mean of its divisors is an integer number (9602560).

Almost surely, 2144036912 is an apocalyptic number.

144036912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144036912 is an abundant number, since it is smaller than the sum of its proper divisors (240065488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144036912 is a wasteful number, since it uses less digits than its factorization.

144036912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96841 (or 96835 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 144036912 is about 12001.5379014525. The cubic root of 144036912 is about 524.1930605741.

The spelling of 144036912 in words is "one hundred forty-four million, thirty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 96799 193598 290397 387196 580794 774392 1161588 1548784 2323176 3000769 4646352 6001538 9002307 12003076 18004614 24006152 36009228 48012304 72018456 144036912