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214123434404001 = 3439325949887767
BaseRepresentation
bin110000101011111001111111…
…001111101110100010100001
31001002011000000022011102102120
4300223321333033232202201
5211031144243201412001
62035222540420134453
763046623213055263
oct6053717717564241
91032130008142376
10214123434404001
1162254269597671
1220022680b37429
1392629a3aaa6b5
143ac38b559db33
1519b4c966e4236
hexc2be7f3ee8a1

214123434404001 has 16 divisors (see below), whose sum is σ = 286236057676800. Its totient is φ = 142380083266128.

The previous prime is 214123434403999. The next prime is 214123434404003. The reversal of 214123434404001 is 100404434321412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214123434403999) and next prime (214123434404003).

It is not a de Polignac number, because 214123434404001 - 21 = 214123434403999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214123434404003) 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, 20651781 + ... + 29235986.

It is an arithmetic number, because the mean of its divisors is an integer number (17889753604800).

Almost surely, 2214123434404001 is an apocalyptic number.

It is an amenable number.

214123434404001 is a deficient number, since it is larger than the sum of its proper divisors (72112623272799).

214123434404001 is a wasteful number, since it uses less digits than its factorization.

214123434404001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49891468.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 214123434404001 its reverse (100404434321412), we get a palindrome (314527868725413).

The spelling of 214123434404001 in words is "two hundred fourteen trillion, one hundred twenty-three billion, four hundred thirty-four million, four hundred four thousand, one".

Divisors: 1 3 439 1317 3259 9777 1430701 4292103 49887767 149663301 21900729713 65702189139 162584232653 487752697959 71374478134667 214123434404001