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44431145040 = 2435185129771
BaseRepresentation
bin101001011000010011…
…010111100001010000
311020200111001000202110
4221120103113201100
51211443333120130
632224505345320
73132021334002
oct513023274120
9136614030673
1044431145040
111793024a987
12873ba98240
1342610cb789
142216cb2372
151250a23ab0
hexa584d7850

44431145040 has 40 divisors (see below), whose sum is σ = 137736550368. Its totient is φ = 11848305280.

The previous prime is 44431144997. The next prime is 44431145041. The reversal of 44431145040 is 4054113444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44431144989 and 44431145007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44431145041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92564646 + ... + 92565125.

Almost surely, 244431145040 is an apocalyptic number.

44431145040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44431145040 is an abundant number, since it is smaller than the sum of its proper divisors (93305405328).

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

44431145040 is a wasteful number, since it uses less digits than its factorization.

44431145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185129787 (or 185129781 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 44431145040 its reverse (4054113444), we get a palindrome (48485258484).

The spelling of 44431145040 in words is "forty-four billion, four hundred thirty-one million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 185129771 370259542 555389313 740519084 925648855 1110778626 1481038168 1851297710 2221557252 2776946565 2962076336 3702595420 4443114504 5553893130 7405190840 8886229008 11107786260 14810381680 22215572520 44431145040