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44134432120 = 2357164724019
BaseRepresentation
bin101001000110100111…
…011111110101111000
311012220210201110011001
4221012213133311320
51210341403311440
632135230014344
73121456324522
oct510647376570
9135823643131
1044134432120
1117798811099
1286786473b4
1342147b1bbc
1421c9716a12
151234963b9a
hexa469dfd78

44134432120 has 64 divisors (see below), whose sum is σ = 100860940800. Its totient is φ = 17377503360.

The previous prime is 44134432109. The next prime is 44134432151. The reversal of 44134432120 is 2123443144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825471 + ... + 1849489.

It is an arithmetic number, because the mean of its divisors is an integer number (1575952200).

Almost surely, 244134432120 is an apocalyptic number.

44134432120 is a gapful number since it is divisible by the number (40) 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 44134432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50430470400).

44134432120 is an abundant number, since it is smaller than the sum of its proper divisors (56726508680).

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

44134432120 is a wasteful number, since it uses less digits than its factorization.

44134432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24748 (or 24744 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 44134432120 its reverse (2123443144), we get a palindrome (46257875264).

The spelling of 44134432120 in words is "forty-four billion, one hundred thirty-four million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 647 710 1294 1420 2588 2840 3235 5176 6470 12940 24019 25880 45937 48038 91874 96076 120095 183748 192152 229685 240190 367496 459370 480380 918740 960760 1705349 1837480 3410698 6821396 8526745 13642792 15540293 17053490 31080586 34106980 62161172 68213960 77701465 124322344 155402930 310805860 621611720 1103360803 2206721606 4413443212 5516804015 8826886424 11033608030 22067216060 44134432120