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42100024224 = 253438541919
BaseRepresentation
bin100111001101010110…
…110110001110100000
311000200000121211011110
4213031112312032200
51142210101233344
631201313343320
73020164205256
oct471526661640
9130600554143
1042100024224
1116944403355
1281ab267b40
133c7c17b44b
1420754625d6
1511660563b9
hex9cd5b63a0

42100024224 has 24 divisors (see below), whose sum is σ = 110512563840. Its totient is φ = 14033341376.

The previous prime is 42100024201. The next prime is 42100024277. The reversal of 42100024224 is 42242000124.

42100024224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×421000242242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42100024224.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219270864 + ... + 219271055.

It is an arithmetic number, because the mean of its divisors is an integer number (4604690160).

Almost surely, 242100024224 is an apocalyptic number.

It is an amenable number.

42100024224 is an abundant number, since it is smaller than the sum of its proper divisors (68412539616).

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

42100024224 is a wasteful number, since it uses less digits than its factorization.

42100024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438541932 (or 438541924 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 42100024224 its reverse (42242000124), we get a palindrome (84342024348).

The spelling of 42100024224 in words is "forty-two billion, one hundred million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 438541919 877083838 1315625757 1754167676 2631251514 3508335352 5262503028 7016670704 10525006056 14033341408 21050012112 42100024224