Search a number
-
+
120168483444 = 2235130195027
BaseRepresentation
bin110111111101010011…
…0011000101001110100
3102111011202012110100000
41233322212120221310
53432101112432234
6131112111351300
711452613153532
oct1577246305164
9374152173300
10120168483444
1146a65a81239
121b358222530
13b441088309
145b5d883152
1531d4b86899
hex1bfa998a74

120168483444 has 72 divisors (see below), whose sum is σ = 315255009888. Its totient is φ = 40024951200.

The previous prime is 120168483439. The next prime is 120168483467. The reversal of 120168483444 is 444384861021.

120168483444 is a `hidden beast` number, since 1 + 2 + 0 + 168 + 48 + 3 + 444 = 666.

It is a super-2 number, since 2×1201684834442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120168483444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217059 + ... + 1312085.

It is an arithmetic number, because the mean of its divisors is an integer number (4378541804).

Almost surely, 2120168483444 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 120168483444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157627504944).

120168483444 is an abundant number, since it is smaller than the sum of its proper divisors (195086526444).

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

120168483444 is a wasteful number, since it uses less digits than its factorization.

120168483444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96347 (or 96333 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 120168483444 in words is "one hundred twenty billion, one hundred sixty-eight million, four hundred eighty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1301 2602 3903 5204 7806 11709 15612 23418 35127 46836 70254 95027 105381 140508 190054 210762 285081 316143 380108 421524 570162 632286 855243 1140324 1264572 1710486 2565729 3420972 5131458 7697187 10262916 15394374 23091561 30788748 46183122 92366244 123630127 247260254 370890381 494520508 741780762 1112671143 1483561524 2225342286 3338013429 4450684572 6676026858 10014040287 13352053716 20028080574 30042120861 40056161148 60084241722 120168483444