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42263103000 = 2335346330427
BaseRepresentation
bin100111010111000100…
…111100011000011000
311001002101111002012010
4213113010330120120
51143023323244000
631225420545520
73024214306506
oct472704743030
9131071432163
1042263103000
1116a184688a8
1282359b22a0
133ca6ba9371
14208cd93676
15117551ad50
hex9d713c618

42263103000 has 128 divisors (see below), whose sum is σ = 132150021120. Its totient is φ = 11245449600.

The previous prime is 42263102953. The next prime is 42263103007. The reversal of 42263103000 is 30136224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42263103007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373787 + ... + 1404213.

It is an arithmetic number, because the mean of its divisors is an integer number (1032422040).

Almost surely, 242263103000 is an apocalyptic number.

42263103000 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 42263103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66075010560).

42263103000 is an abundant number, since it is smaller than the sum of its proper divisors (89886918120).

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

42263103000 is a wasteful number, since it uses less digits than its factorization.

42263103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30914 (or 30900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 42263103000 its reverse (30136224), we get a palindrome (42293239224).

The spelling of 42263103000 in words is "forty-two billion, two hundred sixty-three million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 463 500 600 750 926 1000 1389 1500 1852 2315 2778 3000 3704 4630 5556 6945 9260 11112 11575 13890 18520 23150 27780 30427 34725 46300 55560 57875 60854 69450 91281 92600 115750 121708 138900 152135 173625 182562 231500 243416 277800 304270 347250 365124 456405 463000 608540 694500 730248 760675 912810 1217080 1389000 1521350 1825620 2282025 3042700 3651240 3803375 4564050 6085400 7606750 9128100 11410125 14087701 15213500 18256200 22820250 28175402 30427000 42263103 45640500 56350804 70438505 84526206 91281000 112701608 140877010 169052412 211315515 281754020 338104824 352192525 422631030 563508040 704385050 845262060 1056577575 1408770100 1690524120 1760962625 2113155150 2817540200 3521925250 4226310300 5282887875 7043850500 8452620600 10565775750 14087701000 21131551500 42263103000