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444200043140 = 225715121012301
BaseRepresentation
bin1100111011011000110…
…00101100001010000100
31120110120001202012112122
412131230120230022010
524234210202340030
6540021312305112
744043456032360
oct6355430541204
91513501665478
10444200043140
11161425386a77
1272109842198
1332b708b3119
14176dc4b82a0
15b84bebc8e5
hex676c62c284

444200043140 has 48 divisors (see below), whose sum is σ = 1073140287744. Its totient is φ = 151288560000.

The previous prime is 444200043139. The next prime is 444200043193. The reversal of 444200043140 is 41340002444.

It is a happy number.

It is a super-3 number, since 3×4442000431403 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 10485011 + ... + 10527290.

It is an arithmetic number, because the mean of its divisors is an integer number (22357089328).

Almost surely, 2444200043140 is an apocalyptic number.

It is an amenable number.

444200043140 is an abundant number, since it is smaller than the sum of its proper divisors (628940244604).

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

444200043140 is a wasteful number, since it uses less digits than its factorization.

444200043140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21012468 (or 21012466 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 444200043140 its reverse (41340002444), we get a palindrome (485540045584).

The spelling of 444200043140 in words is "four hundred forty-four billion, two hundred million, forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 3020 4228 5285 10570 21140 21012301 42024602 84049204 105061505 147086107 210123010 294172214 420246020 588344428 735430535 1470861070 2941722140 3172857451 6345714902 12691429804 15864287255 22210002157 31728574510 44420004314 63457149020 88840008628 111050010785 222100021570 444200043140