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42412000340000 = 25542120600017
BaseRepresentation
bin10011010010010110100000…
…01101101110100000100000
312120011112210020002200000102
421221023100031232200200
521024334234041340000
6230111445354241532
711635110622463564
oct1151132015564040
9176145706080012
1042412000340000
1112571912571315
12490b8911262a8
131a885856c0665
14a68a74bd76a4
154d8377dce3d5
hex2692d036e820

42412000340000 has 60 divisors (see below), whose sum is σ = 104339882685654. Its totient is φ = 16964800128000.

The previous prime is 42412000339999. The next prime is 42412000340011. The reversal of 42412000340000 is 4300021424.

It can be written as a sum of positive squares in 5 ways, for example, as 152171768464 + 42259828571536 = 390092^2 + 6500756^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1060280009 + ... + 1060320008.

Almost surely, 242412000340000 is an apocalyptic number.

42412000340000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42412000340000 is an abundant number, since it is smaller than the sum of its proper divisors (61927882345654).

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

42412000340000 is an equidigital number, since it uses as much as digits as its factorization.

42412000340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120600047 (or 2120600024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42412000340000 its reverse (4300021424), we get a palindrome (42416300361424).

The spelling of 42412000340000 in words is "forty-two trillion, four hundred twelve billion, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 2120600017 4241200034 8482400068 10603000085 16964800136 21206000170 33929600272 42412000340 53015000425 67859200544 84824000680 106030000850 169648001360 212060001700 265075002125 339296002720 424120003400 530150004250 848240006800 1060300008500 1325375010625 1696480013600 2120600017000 2650750021250 4241200034000 5301500042500 8482400068000 10603000085000 21206000170000 42412000340000