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241344002014434 = 232114328346723281
BaseRepresentation
bin110110111000000001000111…
…100000100011110011100010
31011122112021001110110110100100
4312320001013200203303202
5223113140004003430214
62213143523125203230
7101556346233120264
oct6670010740436342
91148467043413310
10241344002014434
116a9994643482a0
122309a101b60516
13a488845b7b8b7
14438517d571b34
151cd7da0bda309
hexdb8047823ce2

241344002014434 has 48 divisors (see below), whose sum is σ = 583715725822944. Its totient is φ = 71433742665600.

The previous prime is 241344002014403. The next prime is 241344002014487. The reversal of 241344002014434 is 434410200443142.

241344002014434 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 4 + 4 + 0 + 0 + 201 + 443 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14173353127 + ... + 14173370154.

It is an arithmetic number, because the mean of its divisors is an integer number (12160744287978).

Almost surely, 2241344002014434 is an apocalyptic number.

241344002014434 is an abundant number, since it is smaller than the sum of its proper divisors (342371723808510).

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

241344002014434 is a wasteful number, since it uses less digits than its factorization.

241344002014434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28346723343 (or 28346723340 counting only the distinct ones).

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

Adding to 241344002014434 its reverse (434410200443142), we get a palindrome (675754202457576).

The spelling of 241344002014434 in words is "two hundred forty-one trillion, three hundred forty-four billion, two million, fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 28346723281 56693446562 85040169843 170080339686 255120509529 311813956091 510241019058 623627912182 935441868273 1218909101083 1870883736546 2437818202166 2806325604819 3656727303249 5612651209638 7313454606498 10970181909747 13408000111913 21940363819494 26816000223826 40224000335739 80448000671478 120672001007217 241344002014434