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4141142114220 = 2233523333425291
BaseRepresentation
bin111100010000101111010…
…011011111111110101100
3112122220000022110222212000
4330100233103133332230
51020322024340123340
612450225303212300
7605121235120356
oct74205723377654
915586008428760
104141142114220
111357280845061
1256a6b8147090
1324067b195357
1410460a5100d6
1572ac20d0d30
hex3c42f4dffac

4141142114220 has 96 divisors (see below), whose sum is σ = 13443707773440. Its totient is φ = 1056291318720.

The previous prime is 4141142114203. The next prime is 4141142114237. The reversal of 4141142114220 is 224112411414.

4141142114220 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 1 + 421 + 14 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (4141142114203) and next prime (4141142114237).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166700226 + ... + 166725065.

It is an arithmetic number, because the mean of its divisors is an integer number (140038622640).

Almost surely, 24141142114220 is an apocalyptic number.

It is an amenable number.

4141142114220 is an abundant number, since it is smaller than the sum of its proper divisors (9302565659220).

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

4141142114220 is a wasteful number, since it uses less digits than its factorization.

4141142114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333425332 (or 333425324 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 4141142114220 its reverse (224112411414), we get a palindrome (4365254525634).

The spelling of 4141142114220 in words is "four trillion, one hundred forty-one billion, one hundred forty-two million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 333425291 666850582 1000275873 1333701164 1667126455 2000551746 3000827619 3334252910 4001103492 5001379365 6001655238 6668505820 7668781693 9002482857 10002758730 12003310476 15004138095 15337563386 18004965714 20005517460 23006345079 30008276190 30675126772 36009931428 38343908465 45012414285 46012690158 60016552380 69019035237 76687816930 90024828570 92025380316 115031725395 138038070474 153375633860 180049657140 207057105711 230063450790 276076140948 345095176185 414114211422 460126901580 690190352370 828228422844 1035285528555 1380380704740 2070571057110 4141142114220