Search a number
-
+
119428271424 = 26357111929181
BaseRepresentation
bin110111100111001111…
…0101100110101000000
3102102021011100210100000
41233032132230311000
53424042114141144
6130510430200000
711425354362150
oct1571636546500
9372234323300
10119428271424
1146716166a70
121b190353000
13b353909a37
145acd43c760
15318ebbe769
hex1bce7acd40

119428271424 has 1344 divisors, whose sum is σ = 484617369600. Its totient is φ = 28217548800.

The previous prime is 119428271419. The next prime is 119428271483. The reversal of 119428271424 is 424172824911.

119428271424 is a `hidden beast` number, since 119 + 42 + 8 + 2 + 71 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1194282714242 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (258048) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 119428271424.

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, 659824614 + ... + 659824794.

It is an arithmetic number, because the mean of its divisors is an integer number (360578400).

Almost surely, 2119428271424 is an apocalyptic number.

119428271424 is a gapful number since it is divisible by the number (14) 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 119428271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242308684800).

119428271424 is an abundant number, since it is smaller than the sum of its proper divisors (365189098176).

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

119428271424 is a wasteful number, since it uses less digits than its factorization.

119428271424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

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

The spelling of 119428271424 in words is "one hundred nineteen billion, four hundred twenty-eight million, two hundred seventy-one thousand, four hundred twenty-four".