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4121422560 = 25345487653
BaseRepresentation
bin1111010110100111…
…1110101011100000
3101122020011221220000
43311221332223200
531420041010220
61520544220000
7204063341133
oct36551765340
911566157800
104121422560
111825487852
1297030a600
13508b25c98
142b152021a
15191c5c390
hexf5a7eae0

4121422560 has 240 divisors, whose sum is σ = 14597374176. Its totient is φ = 1095109632.

The previous prime is 4121422537. The next prime is 4121422573. The reversal of 4121422560 is 652241214.

4121422560 is a `hidden beast` number, since 41 + 21 + 42 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41214225602 = 33972247836153907200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6311194 + ... + 6311846.

Almost surely, 24121422560 is an apocalyptic number.

4121422560 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 4121422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298687088).

4121422560 is an abundant number, since it is smaller than the sum of its proper divisors (10475951616).

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

4121422560 is a wasteful number, since it uses less digits than its factorization.

4121422560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4121422560 is about 64198.3065197206. The cubic root of 4121422560 is about 1603.3034041734.

Adding to 4121422560 its reverse (652241214), we get a palindrome (4773663774).

The spelling of 4121422560 in words is "four billion, one hundred twenty-one million, four hundred twenty-two thousand, five hundred sixty".