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43534313144 = 2379728192843
BaseRepresentation
bin101000100010110110…
…001110011010111000
311011100222111020200022
4220202312032122320
51203124241010034
631555511230012
73100551361520
oct504266163270
9134328436608
1043534313144
111750aa918a3
12852b678308
13414a37410a
14216db3c680
1511ebe20b2e
hexa22d8e6b8

43534313144 has 64 divisors (see below), whose sum is σ = 94316140800. Its totient is φ = 18452173824.

The previous prime is 43534313143. The next prime is 43534313213. The reversal of 43534313144 is 44131343534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43534313143) by changing a digit.

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, 15311387 + ... + 15314229.

It is an arithmetic number, because the mean of its divisors is an integer number (1473689700).

Almost surely, 243534313144 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 43534313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47158070400).

43534313144 is an abundant number, since it is smaller than the sum of its proper divisors (50781827656).

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

43534313144 is a wasteful number, since it uses less digits than its factorization.

43534313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5768 counting only the distinct ones).

The product of its digits is 103680, while the sum is 35.

Adding to 43534313144 its reverse (44131343534), we get a palindrome (87665656678).

The spelling of 43534313144 in words is "forty-three billion, five hundred thirty-four million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2716 2819 2843 5432 5638 5686 11276 11372 19733 19901 22552 22744 39466 39802 78932 79604 157864 159208 273443 275771 546886 551542 1093772 1103084 1914101 1930397 2187544 2206168 3828202 3860794 7656404 7721588 8014417 15312808 15443176 16028834 32057668 56100919 64115336 112201838 224403676 448807352 777398449 1554796898 3109593796 5441789143 6219187592 10883578286 21767156572 43534313144