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3424410144243 = 3211224113619587
BaseRepresentation
bin110001110101001110110…
…000000000110111110011
3110010101000000211110021100
4301311032300000313303
5422101142444103433
611141052521455443
7502256034650304
oct61651660006763
913111000743240
103424410144243
111100314285800
12473810041583
131babc741b27a
14bba56d7a7ab
155e124147b13
hex31d4ec00df3

3424410144243 has 72 divisors (see below), whose sum is σ = 5464060409808. Its totient is φ = 2065054464000.

The previous prime is 3424410144227. The next prime is 3424410144247.

3424410144243 is a `hidden beast` number, since 34 + 2 + 44 + 101 + 442 + 43 = 666.

3424410144243 is nontrivially palindromic in base 10.

3424410144243 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3424410144243 - 24 = 3424410144227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3424410144198 and 3424410144207.

It is not an unprimeable number, because it can be changed into a prime (3424410144247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357188296 + ... + 357197882.

It is an arithmetic number, because the mean of its divisors is an integer number (75889727914).

Almost surely, 23424410144243 is an apocalyptic number.

3424410144243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3424410144243 is a deficient number, since it is larger than the sum of its proper divisors (2039650265565).

3424410144243 is a wasteful number, since it uses less digits than its factorization.

3424410144243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11217 (or 11203 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 3424410 and 144243, that added together give a palindrome (3568653).

The spelling of 3424410144243 in words is "three trillion, four hundred twenty-four billion, four hundred ten million, one hundred forty-four thousand, two hundred forty-three".

Divisors: 1 3 9 11 33 99 121 241 363 723 1089 1361 2169 2651 4083 7953 9587 12249 14971 23859 28761 29161 44913 86283 87483 105457 134739 164681 262449 316371 328001 494043 949113 984003 1160027 1482129 2310467 2952009 3480081 3608011 6931401 10440243 10824033 13047907 20794203 25415137 32472099 39143721 39688121 76245411 117431163 119064363 143526977 228736233 279566507 357193089 430580931 838699521 1291742793 1578796747 2516098563 3144545587 4736390241 9433636761 14209170723 28300910283 34590001457 103770004371 311310013113 380490016027 1141470048081 3424410144243