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41445344354414 = 271113947181112071
BaseRepresentation
bin10010110110001101111110…
…00001110010000001101110
312102202010200022022200022012
421123012333001302001232
520413020031123320124
6224051421153521222
711505220161253550
oct1133067701620156
9172663608280265
1041445344354414
1112229965456a30
124794475b73212
131a18382540080
14a33d72d914d0
154bd14db3ae0e
hex25b1bf07206e

41445344354414 has 128 divisors (see below), whose sum is σ = 83611551227904. Its totient is φ = 14880224304000.

The previous prime is 41445344354411. The next prime is 41445344354471.

41445344354414 is nontrivially palindromic in base 10.

41445344354414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41445344354411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3433457999 + ... + 3433470069.

It is an arithmetic number, because the mean of its divisors is an integer number (653215243968).

Almost surely, 241445344354414 is an apocalyptic number.

41445344354414 is an abundant number, since it is smaller than the sum of its proper divisors (42166206873490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41445344354414 is a wasteful number, since it uses less digits than its factorization.

41445344354414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862.

The product of its digits is 14745600, while the sum is 50.

It can be divided in two parts, 4144534 and 4354414, that added together give a palindrome (8498948).

The spelling of 41445344354414 in words is "forty-one trillion, four hundred forty-five billion, three hundred forty-four million, three hundred fifty-four thousand, four hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 947 1001 1811 1894 2002 3622 6629 10417 12071 12311 12677 13258 19921 20834 23543 24142 24622 25354 39842 47086 72919 84497 86177 132781 135421 139447 145838 156923 164801 168994 172354 258973 265562 270842 278894 313846 329602 517946 929467 947947 1098461 1715017 1726153 1812811 1858934 1895894 2196922 3430034 3452306 3625622 11431237 12005119 12083071 18865187 21860581 22295221 22862474 24010238 24166142 37730374 43721162 44590442 80018659 125743607 132056309 148606081 153024067 156066547 160037318 240466391 245247431 251487214 264112618 284187553 297212162 306048134 312133094 480932782 490494862 568375106 880205249 1040242567 1634666891 1683264737 1716732017 1760410498 1989312871 2080485134 3126063083 3269333782 3366529474 3433464034 3978625742 6252126166 11442668237 20701970207 21882441581 22885336474 41403940414 43764883162 144913791449 227721672277 269125612691 289827582898 455443344554 538251225382 1594051705939 1883879288837 2960381739601 3188103411878 3767758577674 5920763479202 20722672177207 41445344354414