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234410022004431 = 37132775222359357
BaseRepresentation
bin110101010011000111010110…
…000101111110011011001111
31010201222101020110202110111210
4311103013112011332123033
5221211033211113120211
62150314251045145503
7100242364603401030
oct6523072605763317
91121871213673453
10234410022004431
1168765806401659
122235a2960bb293
13a0a4a02257c10
1441c5711522a87
151c178214c49a6
hexd531d617e6cf

234410022004431 has 64 divisors (see below), whose sum is σ = 386075464040448. Its totient is φ = 123194040887808.

The previous prime is 234410022004397. The next prime is 234410022004441. The reversal of 234410022004431 is 134400220014432.

It is not a de Polignac number, because 234410022004431 - 210 = 234410022003407 is a prime.

It is a super-2 number, since 2×2344100220044312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234410022004441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3949125805 + ... + 3949185161.

It is an arithmetic number, because the mean of its divisors is an integer number (6032429125632).

Almost surely, 2234410022004431 is an apocalyptic number.

234410022004431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

234410022004431 is a deficient number, since it is larger than the sum of its proper divisors (151665442036017).

234410022004431 is a wasteful number, since it uses less digits than its factorization.

234410022004431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111880.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 234410022004431 its reverse (134400220014432), we get a palindrome (368810242018863).

The spelling of 234410022004431 in words is "two hundred thirty-four trillion, four hundred ten billion, twenty-two million, four thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 277 831 1939 3601 5817 10803 25207 52223 59357 75621 156669 178071 365561 415499 678899 771641 1096683 1246497 2036697 2314923 4752293 5401487 14256879 14465771 16204461 16441889 43397313 49325667 101260397 115093223 188055023 213744557 303781191 345279669 564165069 641233671 1316385161 1496211899 3099800611 3949155483 4488635697 9299401833 21698604277 40297407943 65095812831 120892223829 282081855601 846245566803 858644769247 2575934307741 6010513384729 11162382000211 18031540154187 33487146000633 78136674001477 234410022004431