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9142409430 = 232571117711093
BaseRepresentation
bin10001000001110111…
…00001100011010110
3212121011001112000200
420200323201203112
5122210424100210
64111105321330
7442362124620
oct104073414326
925534045020
109142409430
113971719580
121931936246
13b2912222b
1462a2c5c10
1538795c0c0
hex220ee18d6

9142409430 has 384 divisors, whose sum is σ = 31849998336. Its totient is φ = 1761177600.

The previous prime is 9142409411. The next prime is 9142409483. The reversal of 9142409430 is 349042419.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8363964 + ... + 8365056.

It is an arithmetic number, because the mean of its divisors is an integer number (82942704).

Almost surely, 29142409430 is an apocalyptic number.

9142409430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9142409430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15924999168).

9142409430 is an abundant number, since it is smaller than the sum of its proper divisors (22707588906).

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

9142409430 is a wasteful number, since it uses less digits than its factorization.

9142409430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1209 counting only the distinct ones).

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

The square root of 9142409430 is about 95615.9475715218. The cubic root of 9142409430 is about 2090.9977021122.

The spelling of 9142409430 in words is "nine billion, one hundred forty-two million, four hundred nine thousand, four hundred thirty".