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214145424541412 = 22713946936212831
BaseRepresentation
bin110000101100001110011101…
…111101011100011011100100
31001002020002202211111010222022
4300230032131331130123210
5211032024312140311122
62035241014441122312
763051332152126130
oct6054163575343344
91032202684433868
10214145424541412
1162262623437351
1220026999489398
139264a99888520
143ac499dcd43c0
1519b5632025642
hexc2c39df5c6e4

214145424541412 has 48 divisors (see below), whose sum is σ = 461241244111872. Its totient is φ = 84715962963840.

The previous prime is 214145424541409. The next prime is 214145424541457.

214145424541412 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31361837 + ... + 37574667.

It is an arithmetic number, because the mean of its divisors is an integer number (9609192585664).

Almost surely, 2214145424541412 is an apocalyptic number.

It is an amenable number.

214145424541412 is an abundant number, since it is smaller than the sum of its proper divisors (247095819570460).

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

214145424541412 is a wasteful number, since it uses less digits than its factorization.

214145424541412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307548 (or 6307546 counting only the distinct ones).

The product of its digits is 819200, while the sum is 44.

The spelling of 214145424541412 in words is "two hundred fourteen trillion, one hundred forty-five billion, four hundred twenty-four million, five hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 94693 189386 378772 662851 1231009 1325702 2462018 2651404 4924036 6212831 8617063 12425662 17234126 24851324 34468252 43489817 80766803 86979634 161533606 173959268 323067212 565367621 1130735242 2261470484 588311605883 1176623211766 2353246423532 4118181241181 7648050876479 8236362482362 15296101752958 16472724964724 30592203505916 53536356135353 107072712270706 214145424541412