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3042004431420 = 22325197312127487
BaseRepresentation
bin101100010001000101100…
…101111111001000111100
3101202210221112000110221100
4230101011211333020330
5344320011113301140
610245251052133100
7432530464014213
oct54210545771074
911683845013840
103042004431420
11a7311a218809
12411689167190
13190b23c4b856
14a733b79407a
15541e21b6530
hex2c44597f23c

3042004431420 has 144 divisors (see below), whose sum is σ = 9277562181888. Its totient is φ = 806795458560.

The previous prime is 3042004431331. The next prime is 3042004431443. The reversal of 3042004431420 is 241344002403.

It is a happy number.

3042004431420 is a `hidden beast` number, since 3 + 0 + 4 + 200 + 4 + 4 + 31 + 420 = 666.

3042004431420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110656917 + ... + 110684403.

It is an arithmetic number, because the mean of its divisors is an integer number (64427515152).

Almost surely, 23042004431420 is an apocalyptic number.

3042004431420 is a gapful number since it is divisible by the number (30) 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 3042004431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638781090944).

3042004431420 is an abundant number, since it is smaller than the sum of its proper divisors (6235557750468).

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

3042004431420 is a wasteful number, since it uses less digits than its factorization.

3042004431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30820 (or 30815 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3042004431420 its reverse (241344002403), we get a palindrome (3283348433823).

The spelling of 3042004431420 in words is "three trillion, forty-two billion, four million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3121 3546 3940 5910 6242 7092 8865 9363 11820 12484 15605 17730 18726 27487 28089 31210 35460 37452 46815 54974 56178 62420 82461 93630 109948 112356 137435 140445 164922 187260 247383 274870 280890 329844 412305 494766 549740 561780 614837 824610 989532 1229674 1236915 1649220 1844511 2459348 2473830 3074185 3689022 4947660 5414939 5533533 6148370 7378044 9222555 10829878 11067066 12296740 16244817 18445110 21659756 22134132 27074695 27667665 32489634 36890220 48734451 54149390 55335330 64979268 81224085 85786927 97468902 108298780 110670660 162448170 171573854 194937804 243672255 257360781 324896340 343147708 428934635 487344510 514721562 772082343 857869270 974689020 1029443124 1286803905 1544164686 1715738540 2573607810 3088329372 3860411715 5147215620 7720823430 15441646860 16900024619 33800049238 50700073857 67600098476 84500123095 101400147714 152100221571 169000246190 202800295428 253500369285 304200443142 338000492380 507000738570 608400886284 760501107855 1014001477140 1521002215710 3042004431420