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214352334754140 = 2235116716013027737
BaseRepresentation
bin110000101111001111001010…
…110001010001000101011100
31001002221212211202120000021110
4300233033022301101011130
5211043422040144113030
62035520034141102020
763102305451664002
oct6057171261210534
91032855752500243
10214352334754140
11623323508a6660
122005ab03257910
13927b45270446b
143ad09cba3ca72
1519babe1e7a1b0
hexc2f3cac5115c

214352334754140 has 192 divisors, whose sum is σ = 664936608204288. Its totient is φ = 51156627456000.

The previous prime is 214352334754127. The next prime is 214352334754141. The reversal of 214352334754140 is 41457433253412.

It is a super-4 number, since 4×2143523347541404 (a number of 58 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214352334754140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214352334754141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69282352 + ... + 72310088.

It is an arithmetic number, because the mean of its divisors is an integer number (3463211501064).

Almost surely, 2214352334754140 is an apocalyptic number.

214352334754140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214352334754140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332468304102144).

214352334754140 is an abundant number, since it is smaller than the sum of its proper divisors (450584273450148).

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

214352334754140 is a wasteful number, since it uses less digits than its factorization.

214352334754140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029428 (or 3029426 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 214352334754140 in words is "two hundred fourteen trillion, three hundred fifty-two billion, three hundred thirty-four million, seven hundred fifty-four thousand, one hundred forty".