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14022034992 = 24327291074483
BaseRepresentation
bin11010000111100011…
…10100011000110000
31100012012221011220100
431003301310120300
5212204120104432
610235220512400
71004323221330
oct150361643060
940165834810
1014022034992
115a46089479
122873b4b700
131426055634
149703b10c0
1557103707c
hex343c74630

14022034992 has 240 divisors, whose sum is σ = 46838787840. Its totient is φ = 3831141888.

The previous prime is 14022034987. The next prime is 14022034993. The reversal of 14022034992 is 29943022041.

14022034992 is a `hidden beast` number, since 1 + 4 + 0 + 220 + 349 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14022034993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3125583 + ... + 3130065.

It is an arithmetic number, because the mean of its divisors is an integer number (195161616).

Almost surely, 214022034992 is an apocalyptic number.

14022034992 is a gapful number since it is divisible by the number (12) 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 14022034992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23419393920).

14022034992 is an abundant number, since it is smaller than the sum of its proper divisors (32816752848).

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

14022034992 is a wasteful number, since it uses less digits than its factorization.

14022034992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14022034992 in words is "fourteen billion, twenty-two million, thirty-four thousand, nine hundred ninety-two".