Search a number
-
+
331001029532418 = 23721318594304137
BaseRepresentation
bin100101101000010110010111…
…0110010010001101100000010
31121101222101111212022102210120
41023100230232302101230002
5321341110102030014133
63131551435044241110
7126502015035616500
oct11320545662215402
91541871455272716
10331001029532418
1196515825aa0403
123115a2730a0196
13112903561b9c7b
145ba476cc63670
15284016a465ab3
hex12d0b2ec91b02

331001029532418 has 48 divisors (see below), whose sum is σ = 775962532011744. Its totient is φ = 93849801165120.

The previous prime is 331001029532389. The next prime is 331001029532419. The reversal of 331001029532418 is 814235920100133.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331001029532418.

It is not an unprimeable number, because it can be changed into a prime (331001029532419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4297113555 + ... + 4297190582.

It is an arithmetic number, because the mean of its divisors is an integer number (16165886083578).

Almost surely, 2331001029532418 is an apocalyptic number.

331001029532418 is an abundant number, since it is smaller than the sum of its proper divisors (444961502479326).

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

331001029532418 is a wasteful number, since it uses less digits than its factorization.

331001029532418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594304287 (or 8594304280 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 331001029532418 in words is "three hundred thirty-one trillion, one billion, twenty-nine million, five hundred thirty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 131 147 262 294 393 786 917 1834 2751 5502 6419 12838 19257 38514 8594304137 17188608274 25782912411 51565824822 60160128959 120320257918 180480386877 360960773754 421120902713 842241805426 1125853841947 1263362708139 2251707683894 2526725416278 3377561525841 6755123051682 7880976893629 15761953787258 23642930680887 47285861361774 55166838255403 110333676510806 165500514766209 331001029532418