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42330043400 = 2352976613301
BaseRepresentation
bin100111011011000100…
…010011010000001000
311001021001110000011012
4213123010103100020
51143142442342100
631240211423052
73025656301151
oct473304232010
9131231400135
1042330043400
1116a5222a147
1282542b4a88
133cb7a16378
142097c1a928
15117b340135
hex9db113408

42330043400 has 96 divisors (see below), whose sum is σ = 99612556680. Its totient is φ = 16727040000.

The previous prime is 42330043397. The next prime is 42330043429. The reversal of 42330043400 is 434003324.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2120970916 + 40209072484 = 46054^2 + 200522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12821750 + ... + 12825050.

Almost surely, 242330043400 is an apocalyptic number.

42330043400 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 42330043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49806278340).

42330043400 is an abundant number, since it is smaller than the sum of its proper divisors (57282513280).

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

42330043400 is a wasteful number, since it uses less digits than its factorization.

42330043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 42330043400 its reverse (434003324), we get a palindrome (42764046724).

The spelling of 42330043400 in words is "forty-two billion, three hundred thirty million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 661 776 970 1322 1940 2425 2644 3301 3305 3880 4850 5288 6602 6610 9700 13204 13220 16505 16525 19400 26408 26440 33010 33050 64117 66020 66100 82525 128234 132040 132200 165050 256468 320197 320585 330100 512936 640394 641170 660200 1280788 1282340 1600985 1602925 2181961 2561576 2564680 3201970 3205850 4363922 6403940 6411700 8004925 8727844 10909805 12807880 12823400 16009850 17455688 21819610 32019700 43639220 54549025 64039400 87278440 109098050 211650217 218196100 423300434 436392200 846600868 1058251085 1693201736 2116502170 4233004340 5291255425 8466008680 10582510850 21165021700 42330043400