Search a number
-
+
144546144440432 = 2471567823605983
BaseRepresentation
bin100000110111011011000101…
…100101111101000001110000
3200221210110212100001101222012
4200313123011211331001300
5122421221000434043212
61231231325415502052
742306054131324060
oct4067330545750160
9627713770041865
10144546144440432
1142069748254399
1214266017387928
1362868486a8707
14279a0dc0a93a0
1511a9e9c22b922
hex8376c597d070

144546144440432 has 40 divisors (see below), whose sum is σ = 320270717362176. Its totient is φ = 61908814454976.

The previous prime is 144546144440359. The next prime is 144546144440437. The reversal of 144546144440432 is 234044441645441.

144546144440432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144546144440437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411627488 + ... + 411978495.

Almost surely, 2144546144440432 is an apocalyptic number.

It is an amenable number.

144546144440432 is an abundant number, since it is smaller than the sum of its proper divisors (175724572921744).

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

144546144440432 is a wasteful number, since it uses less digits than its factorization.

144546144440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823607565 (or 823607559 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 50.

The spelling of 144546144440432 in words is "one hundred forty-four trillion, five hundred forty-six billion, one hundred forty-four million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 1567 3134 6268 10969 12536 21938 25072 43876 87752 175504 823605983 1647211966 3294423932 5765241881 6588847864 11530483762 13177695728 23060967524 46121935048 92243870096 1290590575361 2581181150722 5162362301444 9034134027527 10324724602888 18068268055054 20649449205776 36136536110108 72273072220216 144546144440432