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234264242462432 = 25713181001444461
BaseRepresentation
bin110101010000111111100100…
…111101001001111011100000
31010201110102221211211102121112
4311100333210331021323200
5221201141132032244212
62150123301323442452
7100226014212625040
oct6520774475117340
91121412854742545
10234264242462432
11687099a8683026
1222335b90986428
13a09403c1981b0
1441bc6424b1720
151c13b3d1b6422
hexd50fe4f49ee0

234264242462432 has 96 divisors (see below), whose sum is σ = 567644693079744. Its totient is φ = 92675243520000.

The previous prime is 234264242462401. The next prime is 234264242462449.

234264242462432 is nontrivially palindromic in base 10.

It is a congruent 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, 526852682 + ... + 527297142.

It is an arithmetic number, because the mean of its divisors is an integer number (5912965552914).

Almost surely, 2234264242462432 is an apocalyptic number.

It is an amenable number.

234264242462432 is an abundant number, since it is smaller than the sum of its proper divisors (333380450617312).

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

234264242462432 is a wasteful number, since it uses less digits than its factorization.

234264242462432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625492 (or 625484 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 50.

The spelling of 234264242462432 in words is "two hundred thirty-four trillion, two hundred sixty-four billion, two hundred forty-two million, four hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 181001 362002 444461 724004 888922 1267007 1448008 1777844 2353013 2534014 2896016 3111227 3555688 4706026 5068028 5777993 5792032 6222454 7111376 9412052 10136056 11555986 12444908 14222752 16471091 18824104 20272112 23111972 24889816 32942182 37648208 40445951 40544224 46223944 49779632 65884364 75296416 80891902 92447888 99559264 131768728 161783804 184895776 263537456 323567608 527074912 647135216 1294270432 80447885461 160895770922 321791541844 563135198227 643583083688 1045822510993 1126270396454 1287166167376 2091645021986 2252540792908 2574332334752 4183290043972 4505081585816 7320757576951 8366580087944 9010163171632 14641515153902 16733160175888 18020326343264 29283030307804 33466320351776 58566060615608 117132121231216 234264242462432