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444141061 = 71329316189
BaseRepresentation
bin11010011110010…
…000111000000101
31010221201200222221
4122132100320011
51402200003221
6112023252341
714002064620
oct3236207005
91127650887
10444141061
11208784831
121048aa0b1
1371027c80
1442db4db7
1528ed2541
hex1a790e05

444141061 has 64 divisors (see below), whose sum is σ = 599961600. Its totient is φ = 319334400.

The previous prime is 444141059. The next prime is 444141067. The reversal of 444141061 is 160141444.

It is a happy number.

It is not a de Polignac number, because 444141061 - 21 = 444141059 is a prime.

It is a super-3 number, since 3×4441410613 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444141067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4990305 + ... + 4990393.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2444141061 is an apocalyptic number.

It is an amenable number.

444141061 is a deficient number, since it is larger than the sum of its proper divisors (155820539).

444141061 is a wasteful number, since it uses less digits than its factorization.

444141061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 444141061 is about 21074.6544692908. The cubic root of 444141061 is about 762.9691451685.

The spelling of 444141061 in words is "four hundred forty-four million, one hundred forty-one thousand, sixty-one".

Divisors: 1 7 13 29 31 61 89 91 203 217 377 403 427 623 793 899 1157 1769 1891 2581 2639 2759 2821 5429 5551 6293 8099 11687 12383 13237 18067 19313 22997 24583 33553 35867 38003 54839 70577 80011 81809 157441 160979 168299 172081 234871 251069 383873 494039 560077 712907 1040143 1102087 1178093 2046733 2187887 4880671 4990349 7281001 14327131 15315209 34164697 63448723 444141061