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414127541740 = 225112964910273
BaseRepresentation
bin1100000011010111110…
…11001100110111101100
31110120221021000211221111
412001223323030313230
523241113122313430
6514125250241404
741630316011233
oct6015373146754
91416837024844
10414127541740
1114a6a3223630
1268316586264
133008a4b4ab3
1416088599b1a
15ab8bd21c2a
hex606beccdec

414127541740 has 48 divisors (see below), whose sum is σ = 981443342880. Its totient is φ = 145399009280.

The previous prime is 414127541719. The next prime is 414127541749. The reversal of 414127541740 is 47145721414.

It is a junction number, because it is equal to n+sod(n) for n = 414127541693 and 414127541702.

It is not an unprimeable number, because it can be changed into a prime (414127541749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32448757 + ... + 32461516.

It is an arithmetic number, because the mean of its divisors is an integer number (20446736310).

Almost surely, 2414127541740 is an apocalyptic number.

It is an amenable number.

414127541740 is an abundant number, since it is smaller than the sum of its proper divisors (567315801140).

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

414127541740 is a wasteful number, since it uses less digits than its factorization.

414127541740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64910322 (or 64910320 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 414127541740 in words is "four hundred fourteen billion, one hundred twenty-seven million, five hundred forty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 64910273 129820546 259641092 324551365 649102730 714013003 1298205460 1428026006 1882397917 2856052012 3570065015 3764795834 7140130030 7529591668 9411989585 14280260060 18823979170 20706377087 37647958340 41412754174 82825508348 103531885435 207063770870 414127541740