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144310232432340 = 22335132931137166909
BaseRepresentation
bin100000110011111111011000…
…001001000011111011010100
3200220221220221012222200122000
4200303333120021003323110
5122403334324000313330
61230531112222435300
742253033042333032
oct4063773011037324
9626856835880560
10144310232432340
1141a88698058a67
1214228358a32b30
13626a520226610
14278c91c717552
1511a3c91127560
hex833fd8243ed4

144310232432340 has 768 divisors, whose sum is σ = 520079809536000. Its totient is φ = 32948760821760.

The previous prime is 144310232432323. The next prime is 144310232432357. The reversal of 144310232432340 is 43234232013441.

144310232432340 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 1 + 0 + 2 + 324 + 323 + 4 + 0 = 666.

144310232432340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144310232432323) and next prime (144310232432357).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144310232432295 and 144310232432304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 864520806 + ... + 864687714.

It is an arithmetic number, because the mean of its divisors is an integer number (677187252000).

Almost surely, 2144310232432340 is an apocalyptic number.

144310232432340 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 144310232432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260039904768000).

144310232432340 is an abundant number, since it is smaller than the sum of its proper divisors (375769577103660).

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

144310232432340 is a wasteful number, since it uses less digits than its factorization.

144310232432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167137 (or 167129 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 144310232432340 its reverse (43234232013441), we get a palindrome (187544464445781).

The spelling of 144310232432340 in words is "one hundred forty-four trillion, three hundred ten billion, two hundred thirty-two million, four hundred thirty-two thousand, three hundred forty".