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42110252224 = 267122394139
BaseRepresentation
bin100111001101111101…
…110111010011000000
311000200201212110100021
4213031331313103000
51142220211032344
631202320503224
73020350144435
oct471575672300
9130621773307
1042110252224
111694a159847
1281b277ab14
133c8131ca11
142076965b8c
151166dc6b84
hex9cdf774c0

42110252224 has 56 divisors (see below), whose sum is σ = 84797798400. Its totient is φ = 20744290560.

The previous prime is 42110252143. The next prime is 42110252257. The reversal of 42110252224 is 42225201124.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10171947 + ... + 10176085.

It is an arithmetic number, because the mean of its divisors is an integer number (1514246400).

Almost surely, 242110252224 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 42110252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42398899200).

42110252224 is an abundant number, since it is smaller than the sum of its proper divisors (42687546176).

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

42110252224 is a wasteful number, since it uses less digits than its factorization.

42110252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 42110252224 its reverse (42225201124), we get a palindrome (84335453348).

The spelling of 42110252224 in words is "forty-two billion, one hundred ten million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2239 2272 4139 4478 4544 8278 8956 16556 17912 33112 35824 66224 71648 132448 143296 158969 264896 293869 317938 587738 635876 1175476 1271752 2350952 2543504 4701904 5087008 9267221 9403808 10174016 18534442 18807616 37068884 74137768 148275536 296551072 593102144 657972691 1315945382 2631890764 5263781528 10527563056 21055126112 42110252224