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44434250120 = 23513487175463
BaseRepresentation
bin101001011000011111…
…001101100110001000
311020200200212210010102
4221120133031212020
51212000132000440
632225100104532
73132056615501
oct513037154610
9136620783112
1044434250120
1117931a80867
128740b35148
134261947bc0
14221747dba8
151250e38b15
hexa587cd988

44434250120 has 64 divisors (see below), whose sum is σ = 107889304320. Its totient is φ = 16372710144.

The previous prime is 44434250101. The next prime is 44434250143. The reversal of 44434250120 is 2105243444.

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, 165509 + ... + 340971.

It is an arithmetic number, because the mean of its divisors is an integer number (1685770380).

Almost surely, 244434250120 is an apocalyptic number.

44434250120 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 44434250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53944652160).

44434250120 is an abundant number, since it is smaller than the sum of its proper divisors (63455054200).

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

44434250120 is a wasteful number, since it uses less digits than its factorization.

44434250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175974 (or 175970 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 44434250120 its reverse (2105243444), we get a palindrome (46539493564).

The spelling of 44434250120 in words is "forty-four billion, four hundred thirty-four million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 487 520 974 1948 2435 3896 4870 6331 9740 12662 19480 25324 31655 50648 63310 126620 175463 253240 350926 701852 877315 1403704 1754630 2281019 3509260 4562038 7018520 9124076 11405095 18248152 22810190 45620380 85450481 91240760 170900962 341801924 427252405 683603848 854504810 1110856253 1709009620 2221712506 3418019240 4443425012 5554281265 8886850024 11108562530 22217125060 44434250120