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444244214319 = 317293731725609
BaseRepresentation
bin1100111011011110000…
…01001100001000101111
31120110200010212100000020
412131233001030020233
524234303004324234
6540025531133223
744044533342333
oct6355701141057
91513603770006
10444244214319
11161448306484
12721205a4213
1332b79aaa409
14177042d57c3
15b850ce5549
hex676f04c22f

444244214319 has 64 divisors (see below), whose sum is σ = 668457878400. Its totient is φ = 261019680768.

The previous prime is 444244214291. The next prime is 444244214327. The reversal of 444244214319 is 913412442444.

It is not a de Polignac number, because 444244214319 - 27 = 444244214191 is a prime.

It is a super-2 number, since 2×4442442143192 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444244214339) 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, 17334387 + ... + 17359995.

It is an arithmetic number, because the mean of its divisors is an integer number (10444654350).

Almost surely, 2444244214319 is an apocalyptic number.

444244214319 is a deficient number, since it is larger than the sum of its proper divisors (224213664081).

444244214319 is a wasteful number, since it uses less digits than its factorization.

444244214319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26012.

The product of its digits is 442368, while the sum is 42.

The spelling of 444244214319 in words is "four hundred forty-four billion, two hundred forty-four million, two hundred fourteen thousand, three hundred nineteen".

Divisors: 1 3 17 29 37 51 87 111 317 493 629 951 1073 1479 1887 3219 5389 9193 11729 16167 18241 25609 27579 35187 54723 76827 156281 199393 340141 435353 468843 598179 742661 947533 1020423 1306059 2227983 2842599 5782397 8118053 12625237 16108061 17347191 24354159 27478457 37875711 48324183 82435371 138006901 235423537 300367961 414020703 467133769 706270611 901103883 1401401307 4002200129 5106255337 8710670869 12006600387 15318766011 26132012607 148081404773 444244214319