Search a number
-
+
144414540 = 223255411483
BaseRepresentation
bin10001001101110…
…01011101001100
3101001202000111200
420212321131030
5243432231130
622155145500
73402334434
oct1046713514
9331660450
10144414540
1174577866
1240445290
1323bc47ba
14152732c4
15ca29760
hex89b974c

144414540 has 72 divisors (see below), whose sum is σ = 439163088. Its totient is φ = 38413440.

The previous prime is 144414521. The next prime is 144414563. The reversal of 144414540 is 45414441.

144414540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96639 + ... + 98121.

Almost surely, 2144414540 is an apocalyptic number.

144414540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144414540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219581544).

144414540 is an abundant number, since it is smaller than the sum of its proper divisors (294748548).

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

144414540 is a wasteful number, since it uses less digits than its factorization.

144414540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 144414540 is about 12017.2600870581. The cubic root of 144414540 is about 524.6507609289.

Adding to 144414540 its reverse (45414441), we get a palindrome (189828981).

Subtracting from 144414540 its reverse (45414441), we obtain a palindrome (99000099).

It can be divided in two parts, 14441 and 4540, that added together give a palindrome (18981).

The spelling of 144414540 in words is "one hundred forty-four million, four hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 541 1082 1483 1623 2164 2705 2966 3246 4449 4869 5410 5932 6492 7415 8115 8898 9738 10820 13347 14830 16230 17796 19476 22245 24345 26694 29660 32460 44490 48690 53388 66735 88980 97380 133470 266940 802303 1604606 2406909 3209212 4011515 4813818 7220727 8023030 9627636 12034545 14441454 16046060 24069090 28882908 36103635 48138180 72207270 144414540