Search a number
-
+
120420444424 = 2378333737681
BaseRepresentation
bin111000000100110011…
…1100010100100001000
3102111211022022101211011
41300021213202210020
53433110113210144
6131153112013304
711462062613620
oct1601147424410
9374738271734
10120420444424
1147085224255
121b408691234
13b481336457
145b8510d880
1531ebd56a34
hex1c099e2908

120420444424 has 64 divisors (see below), whose sum is σ = 261264205440. Its totient is φ = 50965217280.

The previous prime is 120420444383. The next prime is 120420444433. The reversal of 120420444424 is 424444024021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15673864 + ... + 15681544.

It is an arithmetic number, because the mean of its divisors is an integer number (4082253210).

Almost surely, 2120420444424 is an apocalyptic number.

120420444424 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 120420444424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130632102720).

120420444424 is an abundant number, since it is smaller than the sum of its proper divisors (140843761016).

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

120420444424 is a wasteful number, since it uses less digits than its factorization.

120420444424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11150 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 120420444424 its reverse (424444024021), we get a palindrome (544864468445).

The spelling of 120420444424 in words is "one hundred twenty billion, four hundred twenty million, four hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 581 664 1162 2324 3373 4648 6746 7681 13492 15362 23611 26984 30724 47222 53767 61448 94444 107534 188888 215068 279959 430136 559918 637523 1119836 1275046 1959713 2239672 2550092 3919426 4462661 5100184 7838852 8925322 15677704 17850644 25908013 35701288 51816026 103632052 181356091 207264104 362712182 725424364 1450848728 2150365079 4300730158 8601460316 15052555553 17202920632 30105111106 60210222212 120420444424