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6214210132000 = 255313294120829
BaseRepresentation
bin101101001101101101111…
…0010011001100000100000
3211000001221222200201212211
41122123123302121200200
51303303200243211000
621114434013331504
71210650630410353
oct132333362314040
924001858621784
106214210132000
111a864826850a2
12844432496b94
13360cc7681ab0
14176aab24629a
15ab9a4beb7ba
hex5a6dbc99820

6214210132000 has 192 divisors, whose sum is σ = 17009797240800. Its totient is φ = 2215357132800.

The previous prime is 6214210131979. The next prime is 6214210132033. The reversal of 6214210132000 is 2310124126.

It can be written as a sum of positive squares in 16 ways, for example, as 20502803344 + 6193707328656 = 143188^2 + 2488716^2 .

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, 552415 + ... + 3568414.

Almost surely, 26214210132000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6214210132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8504898620400).

6214210132000 is an abundant number, since it is smaller than the sum of its proper divisors (10795587108800).

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

6214210132000 is a wasteful number, since it uses less digits than its factorization.

6214210132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120896 (or 4120878 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 6214210132000 its reverse (2310124126), we get a palindrome (6216520256126).

The spelling of 6214210132000 in words is "six trillion, two hundred fourteen billion, two hundred ten million, one hundred thirty-two thousand".