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44145500554144 = 2511157798811171
BaseRepresentation
bin10100000100110011011001…
…11000010000001110100000
312210022021020211120200202101
422002121230320100032200
521241234441120213034
6233520055112100144
712204256441256143
oct1202315470201640
9183267224520671
1044145500554144
11130800022125a0
124b4b83a994654
131b82b97701142
14ac89217a605a
155184d4777514
hex28266ce103a0

44145500554144 has 48 divisors (see below), whose sum is σ = 95416396873056. Its totient is φ = 19938326803200.

The previous prime is 44145500554117. The next prime is 44145500554187.

44145500554144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441455005541442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44145500554094 and 44145500554103.

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 7 ways as a sum of consecutive naturals, for example, 399350322 + ... + 399460849.

It is an arithmetic number, because the mean of its divisors is an integer number (1987841601522).

Almost surely, 244145500554144 is an apocalyptic number.

44145500554144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44145500554144 is an abundant number, since it is smaller than the sum of its proper divisors (51270896318912).

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

44145500554144 is a wasteful number, since it uses less digits than its factorization.

44145500554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798811349 (or 798811341 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 46.

It can be divided in two parts, 44145500 and 554144, that added together give a palindrome (44699644).

The spelling of 44145500554144 in words is "forty-four trillion, one hundred forty-five billion, five hundred million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 628 1256 1727 2512 3454 5024 6908 13816 27632 55264 798811171 1597622342 3195244684 6390489368 8786922881 12780978736 17573845762 25561957472 35147691524 70295383048 125413353847 140590766096 250826707694 281181532192 501653415388 1003306830776 1379546892317 2006613661552 2759093784634 4013227323104 5518187569268 11036375138536 22072750277072 44145500554144