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340004013412311 = 33461154291177043
BaseRepresentation
bin100110101001110110101101…
…0011100010000111111010111
31122120212001210021211001212000
41031103231122130100333113
5324031111204413143221
63203043404253530343
7131421323261141253
oct11523553234207727
91576761707731760
10340004013412311
119937698a759676
12321730801a39b3
1311794319308a61
145dd63d3d57263
152949440a9ee26
hex1353b5a710fd7

340004013412311 has 32 divisors (see below), whose sum is σ = 504808418231040. Its totient is φ = 226174908290400.

The previous prime is 340004013412199. The next prime is 340004013412367. The reversal of 340004013412311 is 113214310400043.

340004013412311 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 0 + 4 + 0 + 1 + 341 + 2 + 311 = 666.

It is not a de Polignac number, because 340004013412311 - 221 = 340004011315159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340004013412391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1920371556 + ... + 1920548598.

It is an arithmetic number, because the mean of its divisors is an integer number (15775263069720).

Almost surely, 2340004013412311 is an apocalyptic number.

340004013412311 is a deficient number, since it is larger than the sum of its proper divisors (164804404818729).

340004013412311 is a wasteful number, since it uses less digits than its factorization.

340004013412311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331804 (or 331798 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 340004013412311 its reverse (113214310400043), we get a palindrome (453218323812354).

The spelling of 340004013412311 in words is "three hundred forty trillion, four billion, thirteen million, four hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 27 461 1383 4149 12447 154291 177043 462873 531129 1388619 1593387 4165857 4780161 71128151 81616823 213384453 244850469 640153359 734551407 1920460077 2203654221 27316141513 81948424539 245845273617 737535820851 12592741237493 37778223712479 113334671137437 340004013412311