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4312134343000 = 235311727539219
BaseRepresentation
bin111110101111111111001…
…111000101100101011000
3120021020101001112012222101
4332233333033011211120
51031122222342434000
613100544524133144
7623353465101661
oct76577717054530
916236331465871
104312134343000
111412847468410
125978790971b4
1325382b868353
1410c9cbc70368
157727dac4e6a
hex3ebff3c5958

4312134343000 has 128 divisors (see below), whose sum is σ = 11022864652800. Its totient is φ = 1565889072000.

The previous prime is 4312134342931. The next prime is 4312134343003. The reversal of 4312134343000 is 3434312134.

It is a self number, because there is not a number n which added to its sum of digits gives 4312134343000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312134343003) 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, 7727391 + ... + 8266609.

It is an arithmetic number, because the mean of its divisors is an integer number (86116130100).

Almost surely, 24312134343000 is an apocalyptic number.

4312134343000 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 4312134343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511432326400).

4312134343000 is an abundant number, since it is smaller than the sum of its proper divisors (6710730309800).

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

4312134343000 is a wasteful number, since it uses less digits than its factorization.

4312134343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539978 (or 539964 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 4312134343000 its reverse (3434312134), we get a palindrome (4315568655134).

The spelling of 4312134343000 in words is "four trillion, three hundred twelve billion, one hundred thirty-four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 727 1000 1100 1375 1454 2200 2750 2908 3635 5500 5816 7270 7997 11000 14540 15994 18175 29080 31988 36350 39985 63976 72700 79970 90875 145400 159940 181750 199925 319880 363500 399850 539219 727000 799700 999625 1078438 1599400 1999250 2156876 2696095 3998500 4313752 5392190 5931409 7997000 10784380 11862818 13480475 21568760 23725636 26960950 29657045 47451272 53921900 59314090 67402375 107843800 118628180 134804750 148285225 237256360 269609500 296570450 392012213 539219000 593140900 741426125 784024426 1186281800 1482852250 1568048852 1960061065 2965704500 3136097704 3920122130 4312134343 5931409000 7840244260 8624268686 9800305325 15680488520 17248537372 19600610650 21560671715 34497074744 39201221300 43121343430 49001526625 78402442600 86242686860 98003053250 107803358575 172485373720 196006106500 215606717150 392012213000 431213434300 539016792875 862426868600 1078033585750 2156067171500 4312134343000