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444168130 = 25719521641
BaseRepresentation
bin11010011110010…
…111011111000010
31010221210002010111
4122132113133002
51402201340010
6112024021534
714002236550
oct3236273702
91127702114
10444168130
112087a30aa
121049018aa
13710373a3
1442dc0bd0
1528eda58a
hex1a7977c2

444168130 has 64 divisors (see below), whose sum is σ = 965157120. Its totient is φ = 143769600.

The previous prime is 444168103. The next prime is 444168167. The reversal of 444168130 is 31861444.

It is a junction number, because it is equal to n+sod(n) for n = 444168092 and 444168101.

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 31 ways as a sum of consecutive naturals, for example, 692610 + ... + 693250.

It is an arithmetic number, because the mean of its divisors is an integer number (15080580).

Almost surely, 2444168130 is an apocalyptic number.

444168130 is an abundant number, since it is smaller than the sum of its proper divisors (520988990).

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

444168130 is a wasteful number, since it uses less digits than its factorization.

444168130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 444168130 is about 21075.2966764409. The cubic root of 444168130 is about 762.9846450431.

The spelling of 444168130 in words is "four hundred forty-four million, one hundred sixty-eight thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 521 641 665 1042 1282 1330 2605 3205 3647 4487 5210 6410 7294 8974 9899 12179 18235 19798 22435 24358 36470 44870 49495 60895 69293 85253 98990 121790 138586 170506 333961 346465 426265 667922 692930 852530 1669805 2337727 3339610 4675454 6345259 11688635 12690518 23377270 31726295 44416813 63452590 88833626 222084065 444168130