Search a number
-
+
1440435144 = 233196747147
BaseRepresentation
bin101010111011011…
…0100101111001000
310201101102200112210
41111312310233020
510422222411034
6354533305120
750460332241
oct12566645710
93641380483
101440435144
1167a0a7275
123424951a0
1319c5683b5
14d9439cc8
15866d08e9
hex55db4bc8

1440435144 has 64 divisors (see below), whose sum is σ = 3847276800. Its totient is φ = 448075584.

The previous prime is 1440435131. The next prime is 1440435167. The reversal of 1440435144 is 4415340441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6979 + ... + 54125.

It is an arithmetic number, because the mean of its divisors is an integer number (60113700).

Almost surely, 21440435144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440435144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923638400).

1440435144 is an abundant number, since it is smaller than the sum of its proper divisors (2406841656).

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

1440435144 is a wasteful number, since it uses less digits than its factorization.

1440435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47242 (or 47238 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1440435144 is about 37953.0650145677. The cubic root of 1440435144 is about 1129.3569693634.

Adding to 1440435144 its reverse (4415340441), we get a palindrome (5855775585).

The spelling of 1440435144 in words is "one billion, four hundred forty million, four hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 228 268 402 456 536 804 1273 1608 2546 3819 5092 7638 10184 15276 30552 47147 94294 141441 188588 282882 377176 565764 895793 1131528 1791586 2687379 3158849 3583172 5374758 6317698 7166344 9476547 10749516 12635396 18953094 21499032 25270792 37906188 60018131 75812376 120036262 180054393 240072524 360108786 480145048 720217572 1440435144