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34042440121104 = 24317129132315009
BaseRepresentation
bin1111011110110000111111…
…00011001111101100010000
311110112102111011221222210110
413233120133203033230100
513430222404132333404
6200222514152201320
710112325254440662
oct757303743175420
9143472434858713
1034042440121104
11a935354a66878
1239997a0399240
1315cc25a9b287c
1485993cd9c532
153e07c6ab9b89
hex1ef61f8cfb10

34042440121104 has 80 divisors (see below), whose sum is σ = 93188216197440. Its totient is φ = 10671708241920.

The previous prime is 34042440121049. The next prime is 34042440121139. The reversal of 34042440121104 is 40112104424043.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15104049 + ... + 17210960.

It is an arithmetic number, because the mean of its divisors is an integer number (1164852702468).

Almost surely, 234042440121104 is an apocalyptic number.

34042440121104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34042440121104 is an abundant number, since it is smaller than the sum of its proper divisors (59145776076336).

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

34042440121104 is a wasteful number, since it uses less digits than its factorization.

34042440121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32316328 (or 32316322 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 34042440121104 its reverse (40112104424043), we get a palindrome (74154544545147).

The spelling of 34042440121104 in words is "thirty-four trillion, forty-two billion, four hundred forty million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1291 2582 3873 5164 7746 10328 15492 20656 21947 30984 43894 61968 65841 87788 131682 175576 263364 351152 526728 1053456 32315009 64630018 96945027 129260036 193890054 258520072 387780108 517040144 549355153 775560216 1098710306 1551120432 1648065459 2197420612 3296130918 4394841224 6592261836 8789682448 13184523672 26369047344 41718676619 83437353238 125156029857 166874706476 250312059714 333749412952 500624119428 667498825904 709217502523 1001248238856 1418435005046 2002496477712 2127652507569 2836870010092 4255305015138 5673740020184 8510610030276 11347480040368 17021220060552 34042440121104