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4234443031000 = 235371346532341
BaseRepresentation
bin111101100111101000011…
…110010000000111011000
3112222210211121121122112101
4331213220132100013120
51023334114403443000
613001135401453144
7614633305615120
oct75475036200730
915883747548471
104234443031000
1113928a9776846
125847b64a11b4
132493c9b2b010
14108d3b985c80
1575233141e6a
hex3d9e87901d8

4234443031000 has 128 divisors (see below), whose sum is σ = 12195196191360. Its totient is φ = 1340131392000.

The previous prime is 4234443030959. The next prime is 4234443031081. The reversal of 4234443031000 is 1303444324.

4234443031000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42344430310002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4234443031000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23175171 + ... + 23357170.

It is an arithmetic number, because the mean of its divisors is an integer number (95274970245).

Almost surely, 24234443031000 is an apocalyptic number.

4234443031000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234443031000 is an abundant number, since it is smaller than the sum of its proper divisors (7960753160360).

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

4234443031000 is a wasteful number, since it uses less digits than its factorization.

4234443031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46532382 (or 46532368 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4234443031000 its reverse (1303444324), we get a palindrome (4235746475324).

The spelling of 4234443031000 in words is "four trillion, two hundred thirty-four billion, four hundred forty-three million, thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 46532341 93064682 186129364 232661705 325726387 372258728 465323410 604920433 651452774 930646820 1163308525 1209840866 1302905548 1628631935 1861293640 2326617050 2419681732 2605811096 3024602165 3257263870 4234443031 4653234100 4839363464 5816542625 6049204330 6514527740 8143159675 8468886062 9306468200 11633085250 12098408660 13029055480 15123010825 16286319350 16937772124 21172215155 23266170500 24196817320 30246021650 32572638700 33875544248 40715798375 42344430310 46532341000 60492043300 65145277400 75615054125 81431596750 84688860620 105861075775 120984086600 151230108250 162863193500 169377721240 211722151550 302460216500 325726387000 423444303100 529305378875 604920433000 846888606200 1058610757750 2117221515500 4234443031000