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4300034042112 = 28331670926921
BaseRepresentation
bin111110100100101110000…
…000000110100100000000
3120020002010202200020200020
4332210232000012210000
51030422432203321422
613051224112453440
7622444565200554
oct76445600064400
916202122606606
104300034042112
1114086a812a246
1259546084a280
132526509b60b3
1410c1a0bc3864
1576cc164095c
hex3e92e006900

4300034042112 has 144 divisors (see below), whose sum is σ = 11815734120960. Its totient is φ = 1386849484800.

The previous prime is 4300034042069. The next prime is 4300034042131. The reversal of 4300034042112 is 2112404300034.

It is a super-3 number, since 3×43000340421123 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 159714412 + ... + 159741332.

Almost surely, 24300034042112 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 4300034042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907867060480).

4300034042112 is an abundant number, since it is smaller than the sum of its proper divisors (7515700078848).

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

4300034042112 is a wasteful number, since it uses less digits than its factorization.

4300034042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33680 (or 33666 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4300034042112 its reverse (2112404300034), we get a palindrome (6412438342146).

The spelling of 4300034042112 in words is "four trillion, three hundred billion, thirty-four million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 6709 7936 11904 13418 20127 23808 26836 26921 40254 53672 53842 80508 80763 107344 107684 161016 161526 207979 214688 215368 322032 323052 415958 429376 430736 623937 644064 646104 831916 834551 858752 861472 1247874 1288128 1292208 1663832 1669102 1717504 1722944 2495748 2503653 2576256 2584416 3327664 3338204 3445888 4991496 5007306 5152512 5168832 6655328 6676408 6891776 9982992 10014612 10337664 13310656 13352816 19965984 20029224 20675328 26621312 26705632 39931968 40058448 53242624 53411264 79863936 80116896 106822528 159727872 160233792 180612989 213645056 320467584 361225978 541838967 640935168 722451956 1083677934 1444903912 2167355868 2889807824 4334711736 5599002659 5779615648 8669423472 11198005318 11559231296 16797007977 17338846944 22396010636 23118462592 33594015954 34677693888 44792021272 46236925184 67188031908 69355387776 89584042544 134376063816 138710775552 179168085088 268752127632 358336170176 537504255264 716672340352 1075008510528 1433344680704 2150017021056 4300034042112