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214032311444 = 2273156000227
BaseRepresentation
bin1100011101010101010…
…0011110010010010100
3202110110021112222001002
43013111110132102110
512001314232431234
6242154115122432
721314630426000
oct3072524362224
9673407488032
10214032311444
1182852729506
1235592ba3418
131724c532143
14a5059a9700
15587a33b27e
hex31d551e494

214032311444 has 24 divisors (see below), whose sum is σ = 436800638400. Its totient is φ = 91728132888.

The previous prime is 214032311429. The next prime is 214032311453. The reversal of 214032311444 is 444113230412.

214032311444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2140323114442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77998742 + ... + 78001485.

It is an arithmetic number, because the mean of its divisors is an integer number (18200026600).

Almost surely, 2214032311444 is an apocalyptic number.

It is an amenable number.

214032311444 is an abundant number, since it is smaller than the sum of its proper divisors (222768326956).

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

214032311444 is a wasteful number, since it uses less digits than its factorization.

214032311444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156000252 (or 156000236 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 214032311444 its reverse (444113230412), we get a palindrome (658145541856).

The spelling of 214032311444 in words is "two hundred fourteen billion, thirty-two million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 156000227 312000454 624000908 1092001589 2184003178 4368006356 7644011123 15288022246 30576044492 53508077861 107016155722 214032311444