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214137191070 = 2325111138292309
BaseRepresentation
bin1100011101101110010…
…0100011101010011110
3202110201120220101211200
43013123210203222132
512002023110103240
6242212343100330
721320343043335
oct3073344435236
9673646811750
10214137191070
11828a6953090
12356021416a6
13172681939aa
14a5158aad1c
155884656930
hex31db923a9e

214137191070 has 192 divisors, whose sum is σ = 613750737600. Its totient is φ = 51368325120.

The previous prime is 214137191039. The next prime is 214137191083. The reversal of 214137191070 is 70191731412.

214137191070 is a `hidden beast` number, since 21 + 413 + 71 + 91 + 0 + 70 = 666.

214137191070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92739076 + ... + 92741384.

It is an arithmetic number, because the mean of its divisors is an integer number (3196618425).

Almost surely, 2214137191070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214137191070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306875368800).

214137191070 is an abundant number, since it is smaller than the sum of its proper divisors (399613546530).

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

214137191070 is a wasteful number, since it uses less digits than its factorization.

214137191070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 214137191070 in words is "two hundred fourteen billion, one hundred thirty-seven million, one hundred ninety-one thousand, seventy".