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42221104140 = 22352385935617
BaseRepresentation
bin100111010100100100…
…101110110000001100
311000222110110022120210
4213110210232300030
51142432100313030
631221320442420
73023164315035
oct472444566014
9130873408523
1042221104140
11169a67924a6
128223919410
133c9b292a77
14208757da8c
1511719c1bb0
hex9d492ec0c

42221104140 has 96 divisors (see below), whose sum is σ = 123506127360. Its totient is φ = 10756601856.

The previous prime is 42221104043. The next prime is 42221104141. The reversal of 42221104140 is 4140112224.

It is not an unprimeable number, because it can be changed into a prime (42221104141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167612 + ... + 1203228.

It is an arithmetic number, because the mean of its divisors is an integer number (1286522160).

Almost surely, 242221104140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61753063680).

42221104140 is an abundant number, since it is smaller than the sum of its proper divisors (81285023220).

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

42221104140 is a wasteful number, since it uses less digits than its factorization.

42221104140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36511 (or 36509 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 42221104140 its reverse (4140112224), we get a palindrome (46361216364).

The spelling of 42221104140 in words is "forty-two billion, two hundred twenty-one million, one hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 859 1380 1718 2577 3436 4295 5154 8590 10308 12885 17180 19757 25770 35617 39514 51540 59271 71234 79028 98785 106851 118542 142468 178085 197570 213702 237084 296355 356170 395140 427404 534255 592710 712340 819191 1068510 1185420 1638382 2137020 2457573 3276764 4095955 4915146 8191910 9830292 12287865 16383820 24575730 30595003 49151460 61190006 91785009 122380012 152975015 183570018 305950030 367140036 458925045 611900060 703685069 917850090 1407370138 1835700180 2111055207 2814740276 3518425345 4222110414 7036850690 8444220828 10555276035 14073701380 21110552070 42221104140