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444743671106306 = 2111317219283199381
BaseRepresentation
bin110010100011111011111010…
…0100010000100101100000010
32011022201002011010021021202002
41211013313310202010230002
5431243140014300400211
64213520231050024002
7162451445525063405
oct14507676442045402
92138632133237662
10444743671106306
11119788805994520
1241a6a377718002
13161211c0878780
147bb79cc313d3c
153663c0bd0003b
hex1947df4884b02

444743671106306 has 96 divisors (see below), whose sum is σ = 876377479561920. Its totient is φ = 166385299737600.

The previous prime is 444743671106303. The next prime is 444743671106369. The reversal of 444743671106306 is 603601176347444.

It is a super-3 number, since 3×4447436711063063 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444743671106303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140029265 + ... + 143170116.

It is an arithmetic number, because the mean of its divisors is an integer number (9128932078770).

Almost surely, 2444743671106306 is an apocalyptic number.

444743671106306 is a deficient number, since it is larger than the sum of its proper divisors (431633808455614).

444743671106306 is a wasteful number, since it uses less digits than its factorization.

444743671106306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283199460 (or 283199443 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 56.

The spelling of 444743671106306 in words is "four hundred forty-four trillion, seven hundred forty-three billion, six hundred seventy-one million, one hundred six thousand, three hundred six".

Divisors: 1 2 11 13 17 19 22 26 34 38 143 187 209 221 247 286 289 323 374 418 442 494 578 646 2431 2717 3179 3553 3757 4199 4862 5434 5491 6358 7106 7514 8398 10982 41327 46189 60401 71383 82654 92378 120802 142766 785213 1570426 283199381 566398762 3115193191 3681591953 4814389477 5380788239 6230386382 7363183906 9628778954 10761576478 40497511483 52958284247 59188670629 62587063201 69950247107 80995022966 81844621109 91473400063 105916568494 118377341258 125174126402 139900494214 163689242218 182946800126 688457695211 769452718177 900290832199 1006207400693 1063980074417 1189154200819 1376915390422 1538905436354 1555047801071 1800581664398 2012414801386 2127960148834 2378308401638 3110095602142 11703780818587 13080696209009 17105525811781 20215621413923 23407561637174 26161392418018 34211051623562 40431242827846 222371835553153 444743671106306