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3004043243130 = 2325173379509071
BaseRepresentation
bin101011101101101110111…
…011100010111001111010
3101122011221221100022022200
4223231232323202321322
5343204240032240010
610220012144131030
7430014664153656
oct53555673427172
911564857308280
103004043243130
11a5900a106126
12406254006a76
1318a3843b2367
14a5579ca5a66
155321e6abcc0
hex2bb6eee2e7a

3004043243130 has 96 divisors (see below), whose sum is σ = 7876402709760. Its totient is φ = 794344682880.

The previous prime is 3004043243087. The next prime is 3004043243171. The reversal of 3004043243130 is 313423404003.

3004043243130 is a `hidden beast` number, since 3 + 0 + 0 + 404 + 3 + 243 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3004043243094 and 3004043243103.

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, 5646495 + ... + 6155565.

It is an arithmetic number, because the mean of its divisors is an integer number (82045861560).

Almost surely, 23004043243130 is an apocalyptic number.

3004043243130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004043243130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938201354880).

3004043243130 is an abundant number, since it is smaller than the sum of its proper divisors (4872359466630).

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

3004043243130 is a wasteful number, since it uses less digits than its factorization.

3004043243130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509636 (or 509633 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3004043243130 its reverse (313423404003), we get a palindrome (3317466647133).

The spelling of 3004043243130 in words is "three trillion, four billion, forty-three million, two hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 379 519 758 865 1038 1137 1557 1730 1895 2274 2595 3114 3411 3790 5190 5685 6822 7785 11370 15570 17055 34110 65567 131134 196701 327835 393402 509071 590103 655670 983505 1018142 1180206 1527213 1967010 2545355 2950515 3054426 4581639 5090710 5901030 7636065 9163278 15272130 22908195 45816390 88069283 176138566 192937909 264207849 385875818 440346415 528415698 578813727 792623547 880692830 964689545 1157627454 1321039245 1585247094 1736441181 1929379090 2642078490 2894068635 3472882362 3963117735 5788137270 7926235470 8682205905 17364411810 33378258257 66756516514 100134774771 166891291285 200269549542 300404324313 333782582570 500673873855 600808648626 1001347747710 1502021621565 3004043243130