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4114221423400 = 2352115179361093
BaseRepresentation
bin111011110111101010101…
…101001101101100101000
3112120022112011110012120001
4323313222231031230220
51014401411141022100
612430014111312344
7603146146042324
oct73675255155450
915508464405501
104114221423400
111346916810650
1256544451b6b4
1323ac7aa625ba
141031b5034984
15720489b4d6a
hex3bdeab4db28

4114221423400 has 96 divisors (see below), whose sum is σ = 10437205413600. Its totient is φ = 1495787500800.

The previous prime is 4114221423397. The next prime is 4114221423421. The reversal of 4114221423400 is 43241224114.

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, 11213254 + ... + 11574346.

It is an arithmetic number, because the mean of its divisors is an integer number (108720889725).

Almost surely, 24114221423400 is an apocalyptic number.

4114221423400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114221423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218602706800).

4114221423400 is an abundant number, since it is smaller than the sum of its proper divisors (6322983990200).

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

4114221423400 is a wasteful number, since it uses less digits than its factorization.

4114221423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366299 (or 366290 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4114221423400 its reverse (43241224114), we get a palindrome (4157462647514).

The spelling of 4114221423400 in words is "four trillion, one hundred fourteen billion, two hundred twenty-one million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 5179 10358 20716 25895 41432 51790 56969 103580 113938 129475 207160 227876 258950 284845 361093 455752 517900 569690 722186 1035800 1139380 1424225 1444372 1805465 2278760 2848450 2888744 3610930 3972023 5696900 7221860 7944046 9027325 11393800 14443720 15888092 18054650 19860115 31776184 36109300 39720230 72218600 79440460 99300575 158880920 198601150 397202300 794404600 1870100647 3740201294 7480402588 9350503235 14960805176 18701006470 20571107117 37402012940 41142214234 46752516175 74804025880 82284428468 93505032350 102855535585 164568856936 187010064700 205711071170 374020129400 411422142340 514277677925 822844284680 1028555355850 2057110711700 4114221423400