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4312243102000 = 245329162745697
BaseRepresentation
bin111110110000000101101…
…101111110000100110000
3120021020122122011202021111
4332300011231332010300
51031122433213231000
613101003411203104
7623356255404421
oct76600555760460
916236578152244
104312243102000
1114128a28a1689
125978a95a6494
132538482578a2
1410c9dc4a1648
1577288409cba
hex3ec05b7e130

4312243102000 has 160 divisors (see below), whose sum is σ = 10793421587520. Its totient is φ = 1664357990400.

The previous prime is 4312243101977. The next prime is 4312243102001. The reversal of 4312243102000 is 2013422134.

4312243102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4312243102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94343152 + ... + 94388848.

It is an arithmetic number, because the mean of its divisors is an integer number (67458884922).

Almost surely, 24312243102000 is an apocalyptic number.

4312243102000 is a gapful number since it is divisible by the number (40) 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 4312243102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396710793760).

4312243102000 is an abundant number, since it is smaller than the sum of its proper divisors (6481178485520).

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

4312243102000 is a wasteful number, since it uses less digits than its factorization.

4312243102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47376 (or 47360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4312243102000 its reverse (2013422134), we get a palindrome (4314256524134).

The spelling of 4312243102000 in words is "four trillion, three hundred twelve billion, two hundred forty-three million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 1627 2000 2320 2900 3254 3625 5800 6508 7250 8135 11600 13016 14500 16270 26032 29000 32540 40675 45697 47183 58000 65080 81350 91394 94366 130160 162700 182788 188732 203375 228485 235915 325400 365576 377464 406750 456970 471830 650800 731152 754928 813500 913940 943660 1142425 1179575 1325213 1627000 1827880 1887320 2284850 2359150 2650426 3254000 3655760 3774640 4569700 4718300 5300852 5712125 5897875 6626065 9139400 9436600 10601704 11424250 11795750 13252130 18278800 18873200 21203408 22848500 23591500 26504260 33130325 45697000 47183000 53008520 66260650 74349019 91394000 94366000 106017040 132521300 148698038 165651625 265042600 297396076 331303250 371745095 530085200 594792152 662606500 743490190 1189584304 1325213000 1486980380 1858725475 2156121551 2650426000 2973960760 3717450950 4312243102 5947921520 7434901900 8624486204 9293627375 10780607755 14869803800 17248972408 18587254750 21561215510 29739607600 34497944816 37174509500 43122431020 53903038775 74349019000 86244862040 107806077550 148698038000 172489724080 215612155100 269515193875 431224310200 539030387750 862448620400 1078060775500 2156121551000 4312243102000