Search a number
-
+
4114197080424 = 2332537945729863
BaseRepresentation
bin111011110111101001010…
…000010110100101101000
3112120022110110122110021100
4323313221100112211220
51014401333423033144
612430011441441400
7603145432114464
oct73675120264550
915508413573240
104114197080424
111346903aa4392
12565438340260
1323ac759bb482
141031b1ad94a4
15720467a7269
hex3bde9416968

4114197080424 has 192 divisors, whose sum is σ = 11522104588800. Its totient is φ = 1325540256768.

The previous prime is 4114197080423. The next prime is 4114197080437. The reversal of 4114197080424 is 4240807914114.

4114197080424 is a `hidden beast` number, since 4 + 1 + 141 + 9 + 7 + 0 + 80 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4114197080424.

It is not an unprimeable number, because it can be changed into a prime (4114197080423) 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, 137754117 + ... + 137783979.

It is an arithmetic number, because the mean of its divisors is an integer number (60010961400).

Almost surely, 24114197080424 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 4114197080424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761052294400).

4114197080424 is an abundant number, since it is smaller than the sum of its proper divisors (7407907508376).

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

4114197080424 is a wasteful number, since it uses less digits than its factorization.

4114197080424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30464 (or 30457 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 4114197080424 in words is "four trillion, one hundred fourteen billion, one hundred ninety-seven million, eighty thousand, four hundred twenty-four".