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4212114088 = 237313231293
BaseRepresentation
bin1111101100001111…
…1100001010101000
3101212112211120021111
43323003330022220
532111300122323
61533544120104
7206244244000
oct37303741250
911775746244
104212114088
1118716a0726
12996766034
1352185a900
142bd5ab000
15199bc3c0d
hexfb0fc2a8

4212114088 has 192 divisors, whose sum is σ = 10329984000. Its totient is φ = 1607074560.

The previous prime is 4212114083. The next prime is 4212114097. The reversal of 4212114088 is 8804112124.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4212114083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14375670 + ... + 14375962.

It is an arithmetic number, because the mean of its divisors is an integer number (53802000).

Almost surely, 24212114088 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 4212114088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164992000).

4212114088 is an abundant number, since it is smaller than the sum of its proper divisors (6117869912).

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

4212114088 is a wasteful number, since it uses less digits than its factorization.

4212114088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 4212114088 is about 64900.8019056776. The cubic root of 4212114088 is about 1614.9783646902.

The spelling of 4212114088 in words is "four billion, two hundred twelve million, one hundred fourteen thousand, eighty-eight".