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4190142384 = 2432104927739
BaseRepresentation
bin1111100111000000…
…0111111110110000
3101211000111021202200
43321300013332300
532040134024014
61531441143200
7205556423361
oct37160077660
911730437680
104190142384
111860253a9a
1298b32ab00
1351a136bbc
142ba6cbb68
15197cd3a09
hexf9c07fb0

4190142384 has 60 divisors (see below), whose sum is σ = 11738181000. Its totient is φ = 1395332352.

The previous prime is 4190142377. The next prime is 4190142419. The reversal of 4190142384 is 4832410914.

It is a happy number.

4190142384 is a `hidden beast` number, since 419 + 0 + 1 + 4 + 238 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137187 + ... + 164925.

It is an arithmetic number, because the mean of its divisors is an integer number (195636350).

Almost surely, 24190142384 is an apocalyptic number.

It is an amenable number.

4190142384 is an abundant number, since it is smaller than the sum of its proper divisors (7548038616).

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

4190142384 is a wasteful number, since it uses less digits than its factorization.

4190142384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28802 (or 28793 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4190142384 is about 64731.3091478923. The cubic root of 4190142384 is about 1612.1653905304.

The spelling of 4190142384 in words is "four billion, one hundred ninety million, one hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1049 2098 3147 4196 6294 8392 9441 12588 16784 18882 25176 27739 37764 50352 55478 75528 83217 110956 151056 166434 221912 249651 332868 443824 499302 665736 998604 1331472 1997208 3994416 29098211 58196422 87294633 116392844 174589266 232785688 261883899 349178532 465571376 523767798 698357064 1047535596 1396714128 2095071192 4190142384