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42352071000 = 2335322762191
BaseRepresentation
bin100111011100011000…
…010101000101011000
311001022120220010100020
4213130120111011120
51143214112233000
631242315510440
73026344443441
oct473430250530
9131276803306
1042352071000
1116a63704878
12825b758420
133cbc459655
14209ab122c8
15117d241ba0
hex9dc615158

42352071000 has 128 divisors (see below), whose sum is σ = 132722703360. Its totient is φ = 11243952000.

The previous prime is 42352070983. The next prime is 42352071001. The reversal of 42352071000 is 17025324.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42352071001) 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, 649905 + ... + 712095.

It is an arithmetic number, because the mean of its divisors is an integer number (1036896120).

Almost surely, 242352071000 is an apocalyptic number.

42352071000 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 42352071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66361351680).

42352071000 is an abundant number, since it is smaller than the sum of its proper divisors (90370632360).

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

42352071000 is a wasteful number, since it uses less digits than its factorization.

42352071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62442 (or 62428 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 42352071000 its reverse (17025324), we get a palindrome (42369096324).

The spelling of 42352071000 in words is "forty-two billion, three hundred fifty-two million, seventy-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 227 250 300 375 454 500 600 681 750 908 1000 1135 1362 1500 1816 2270 2724 3000 3405 4540 5448 5675 6810 9080 11350 13620 17025 22700 27240 28375 34050 45400 56750 62191 68100 85125 113500 124382 136200 170250 186573 227000 248764 310955 340500 373146 497528 621910 681000 746292 932865 1243820 1492584 1554775 1865730 2487640 3109550 3731460 4664325 6219100 7462920 7773875 9328650 12438200 14117357 15547750 18657300 23321625 28234714 31095500 37314600 42352071 46643250 56469428 62191000 70586785 84704142 93286500 112938856 141173570 169408284 186573000 211760355 282347140 338816568 352933925 423520710 564694280 705867850 847041420 1058801775 1411735700 1694082840 1764669625 2117603550 2823471400 3529339250 4235207100 5294008875 7058678500 8470414200 10588017750 14117357000 21176035500 42352071000