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120443944404 = 22376731168813
BaseRepresentation
bin111000000101100000…
…1001011110111010100
3102111212221112022201210
41300023001023313110
53433132122210104
6131155311421420
711462466430650
oct1601301136724
9374787468653
10120443944404
1147097515123
121b414524870
13b486173974
145b882a9a60
1531ede49989
hex1c0b04bdd4

120443944404 has 96 divisors (see below), whose sum is σ = 327030552576. Its totient is φ = 33789444480.

The previous prime is 120443944333. The next prime is 120443944441. The reversal of 120443944404 is 404449344021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1715902 + ... + 1784714.

It is an arithmetic number, because the mean of its divisors is an integer number (3406568256).

Almost surely, 2120443944404 is an apocalyptic number.

120443944404 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 120443944404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163515276288).

120443944404 is an abundant number, since it is smaller than the sum of its proper divisors (206586608172).

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

120443944404 is a wasteful number, since it uses less digits than its factorization.

120443944404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69205 (or 69203 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 120443944404 in words is "one hundred twenty billion, four hundred forty-three million, nine hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 311 402 469 622 804 933 938 1244 1407 1866 1876 2177 2814 3732 4354 5628 6531 8708 13062 20837 26124 41674 62511 68813 83348 125022 137626 145859 206439 250044 275252 291718 412878 437577 481691 583436 825756 875154 963382 1445073 1750308 1926764 2890146 4610471 5780292 9220942 13831413 18441884 21400843 27662826 32273297 42801686 55325652 64202529 64546594 85603372 96819891 128405058 129093188 149805901 193639782 256810116 299611802 387279564 449417703 599223604 898835406 1433856481 1797670812 2867712962 4301569443 5735425924 8603138886 10036995367 17206277772 20073990734 30110986101 40147981468 60221972202 120443944404