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445040122443543 = 35115314872112581
BaseRepresentation
bin110010100110000101111101…
…0011010001011011100010111
32011100202102100022202120100000
41211030023322122023130113
5431313014132321143133
64214304335415022343
7162512042052631344
oct14514137232133427
92140672308676300
10445040122443543
11119892501a46980
1241ab791066a9b3
1316143146430213
147bc80b202b7cb
15366b7acb8d413
hex194c2fa68b717

445040122443543 has 96 divisors (see below), whose sum is σ = 741468824957952. Its totient is φ = 264454116451200.

The previous prime is 445040122443517. The next prime is 445040122443557. The reversal of 445040122443543 is 345344221040544.

445040122443543 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 40 + 1 + 2 + 24 + 43 + 543 = 666.

It is a de Polignac number, because none of the positive numbers 2k-445040122443543 is a prime.

It is a super-2 number, since 2×4450401224435432 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445040122443583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209605513 + ... + 211718093.

It is an arithmetic number, because the mean of its divisors is an integer number (7723633593312).

Almost surely, 2445040122443543 is an apocalyptic number.

445040122443543 is a deficient number, since it is larger than the sum of its proper divisors (296428702514409).

445040122443543 is a wasteful number, since it uses less digits than its factorization.

445040122443543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114147 (or 2114135 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

The spelling of 445040122443543 in words is "four hundred forty-five trillion, forty billion, one hundred twenty-two million, four hundred forty-three thousand, five hundred forty-three".

Divisors: 1 3 9 11 27 33 53 81 99 159 243 297 477 583 891 1431 1487 1749 2673 4293 4461 5247 12879 13383 15741 16357 40149 47223 49071 78811 120447 141669 147213 236433 361341 441639 709299 866921 1324917 2112581 2127897 2600763 3974751 6337743 6383691 7802289 19013229 19151073 23238391 23406867 57039687 69715173 70220601 111966793 171119061 209145519 210661803 335900379 513357183 627436557 1007701137 1231634723 1882309671 3023103411 3141407947 3694904169 5646929013 9069310233 9424223841 11084712507 27207930699 28272671523 33254137521 34555487417 84818014569 99762412563 103666462251 166494621191 254454043707 299287237689 310999386753 499483863573 763362131121 932998160259 1498451590719 1831440833101 2798994480777 4495354772157 5494322499303 8396983442331 13486064316471 16482967497909 40458192949413 49448902493727 148346707481181 445040122443543