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1444240017 = 331147157659
BaseRepresentation
bin101011000010101…
…0101101010010001
310201122120222212000
41112011111222101
510424211140032
6355151024213
750534560203
oct12605255221
93648528760
101444240017
116812659a0
1234380b069
131a029b1bc
14d9b4a773
1586bd2e7c
hex56155a91

1444240017 has 64 divisors (see below), whose sum is σ = 2402611200. Its totient is φ = 849925440.

The previous prime is 1444240013. The next prime is 1444240019. The reversal of 1444240017 is 7100424441.

It is not a de Polignac number, because 1444240017 - 22 = 1444240013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1444240013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2191234 + ... + 2191892.

It is an arithmetic number, because the mean of its divisors is an integer number (37540800).

Almost surely, 21444240017 is an apocalyptic number.

It is an amenable number.

1444240017 is a deficient number, since it is larger than the sum of its proper divisors (958371183).

1444240017 is a wasteful number, since it uses less digits than its factorization.

1444240017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1444240017 is about 38003.1579871989. The cubic root of 1444240017 is about 1130.3504843845.

Adding to 1444240017 its reverse (7100424441), we get a palindrome (8544664458).

The spelling of 1444240017 in words is "one billion, four hundred forty-four million, two hundred forty thousand, seventeen".

Divisors: 1 3 9 11 27 33 47 99 141 157 297 423 471 517 659 1269 1413 1551 1727 1977 4239 4653 5181 5931 7249 7379 13959 15543 17793 21747 22137 30973 46629 65241 66411 81169 92919 103463 195723 199233 243507 278757 310389 340703 730521 836271 931167 1022109 1138093 2191563 2793501 3066327 3414279 4862761 9198981 10242837 14588283 30728511 43764849 53490371 131294547 160471113 481413339 1444240017