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4121430341214 = 2337591138293359
BaseRepresentation
bin111011111110011000011…
…001000011011001011110
3112121000010120022011201010
4323332120121003121132
51020011142131404324
612433205311400050
7603522612610404
oct73763031033136
915530116264633
104121430341214
111349985a8926a
12566916823026
1323b859425944
1410369a615474
157231b7ea829
hex3bf9864365e

4121430341214 has 128 divisors (see below), whose sum is σ = 8698378752000. Its totient is φ = 1300437669888.

The previous prime is 4121430341159. The next prime is 4121430341219.

It is a happy number.

4121430341214 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121430341219) 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, 1226979667 + ... + 1226983025.

It is an arithmetic number, because the mean of its divisors is an integer number (67956084000).

Almost surely, 24121430341214 is an apocalyptic number.

4121430341214 is an abundant number, since it is smaller than the sum of its proper divisors (4576948410786).

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

4121430341214 is a wasteful number, since it uses less digits than its factorization.

4121430341214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4121430 and 341214, that added together give a palindrome (4462644).

The spelling of 4121430341214 in words is "four trillion, one hundred twenty-one billion, four hundred thirty million, three hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 37 59 74 111 113 118 177 222 226 339 354 678 829 1658 2183 2487 3359 4181 4366 4974 6549 6667 6718 8362 10077 12543 13098 13334 20001 20154 25086 30673 40002 48911 61346 92019 93677 97822 124283 146733 184038 187354 198181 246679 248566 281031 293466 372849 379567 396362 493358 562062 594543 740037 745698 759134 1138701 1189086 1480074 1809707 2277402 2784611 3466049 3619414 5429121 5526943 5569222 6932098 7332697 8353833 10398147 10858242 11053886 14043979 14665394 16580829 16707666 20796294 21998091 22394453 28087958 33161658 42131937 43996182 44788906 67183359 84263874 103030607 134366718 164292049 204496891 206061214 309091821 314661043 328584098 408993782 492876147 613490673 618183642 629322086 828594761 943983129 985752294 1226981346 1657189522 1887966258 2485784283 4971568566 6078805813 11642458591 12157611626 18236417439 18565001537 23284917182 34927375773 36472834878 37130003074 55695004611 69854751546 111390009222 686905056869 1373810113738 2060715170607 4121430341214