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42323021000 = 2353136015417
BaseRepresentation
bin100111011010101001…
…100000110011001000
311001020120020020020022
4213122221200303020
51143134143133000
631235401120012
73025542512531
oct473251406310
9131216206208
1042323021000
1116a49273107
128251a89008
133cb6427bc0
142096d0d688
15117a904585
hex9daa60cc8

42323021000 has 128 divisors (see below), whose sum is σ = 106851195360. Its totient is φ = 15598080000.

The previous prime is 42323020991. The next prime is 42323021047. The reversal of 42323021000 is 12032324.

It can be written as a sum of positive squares in 16 ways, for example, as 8644164676 + 33678856324 = 92974^2 + 183518^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42323021000.

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, 7810292 + ... + 7815708.

Almost surely, 242323021000 is an apocalyptic number.

42323021000 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 42323021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53425597680).

42323021000 is an abundant number, since it is smaller than the sum of its proper divisors (64528174360).

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

42323021000 is a wasteful number, since it uses less digits than its factorization.

42323021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 42323021000 its reverse (12032324), we get a palindrome (42335053324).

The spelling of 42323021000 in words is "forty-two billion, three hundred twenty-three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 601 650 1000 1202 1300 1625 2404 2600 3005 3250 4808 5417 6010 6500 7813 10834 12020 13000 15025 15626 21668 24040 27085 30050 31252 39065 43336 54170 60100 62504 70421 75125 78130 108340 120200 135425 140842 150250 156260 195325 216680 270850 281684 300500 312520 352105 390650 541700 563368 601000 677125 704210 781300 976625 1083400 1354250 1408420 1562600 1760525 1953250 2708500 2816840 3255617 3521050 3906500 5417000 6511234 7042100 7813000 8802625 13022468 14084200 16278085 17605250 26044936 32556170 35210500 42323021 65112340 70421000 81390425 84646042 130224680 162780850 169292084 211615105 325561700 338584168 406952125 423230210 651123400 813904250 846460420 1058075525 1627808500 1692920840 2116151050 3255617000 4232302100 5290377625 8464604200 10580755250 21161510500 42323021000