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414221313144 = 23317259221381
BaseRepresentation
bin1100000011100011000…
…00111010010001111000
31110121011210110221010110
412001301200322101320
523241311124010034
6514142440144320
741632535032242
oct6016140722170
91417153427113
10414221313144
1114a741150461
1268341a680a0
13300a3a57532
1416096c09092
15ab95195de9
hex607183a478

414221313144 has 16 divisors (see below), whose sum is σ = 1035553282920. Its totient is φ = 138073771040.

The previous prime is 414221313101. The next prime is 414221313203. The reversal of 414221313144 is 441313122414.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8629610667 + ... + 8629610714.

Almost surely, 2414221313144 is an apocalyptic number.

It is an amenable number.

414221313144 is an abundant number, since it is smaller than the sum of its proper divisors (621331969776).

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

414221313144 is a wasteful number, since it uses less digits than its factorization.

414221313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17259221390 (or 17259221386 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 414221313144 its reverse (441313122414), we get a palindrome (855534435558).

The spelling of 414221313144 in words is "four hundred fourteen billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 17259221381 34518442762 51777664143 69036885524 103555328286 138073771048 207110656572 414221313144