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214561462315146 = 235919310939287087
BaseRepresentation
bin110000110010010001111011…
…101111100110100010001010
31001010200212122012221211120220
4300302101323233212202022
5211110333333323041041
62040200101450330510
763123361024634022
oct6062217357464212
91033625565854526
10214561462315146
1162403006964501
1220093547729a36
13929509ca471bb
143adab8a05ca82
1519c13818c6d66
hexc3247bbe688a

214561462315146 has 64 divisors (see below), whose sum is σ = 438698943129600. Its totient is φ = 69937346589696.

The previous prime is 214561462315103. The next prime is 214561462315169. The reversal of 214561462315146 is 641513264165412.

214561462315146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2145614623151462 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747230815 + ... + 747517901.

It is an arithmetic number, because the mean of its divisors is an integer number (6854670986400).

Almost surely, 2214561462315146 is an apocalyptic number.

214561462315146 is an abundant number, since it is smaller than the sum of its proper divisors (224137480814454).

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

214561462315146 is a wasteful number, since it uses less digits than its factorization.

214561462315146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298283.

The product of its digits is 4147200, while the sum is 51.

The spelling of 214561462315146 in words is "two hundred fourteen trillion, five hundred sixty-one billion, four hundred sixty-two million, three hundred fifteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 59 118 177 193 354 386 579 1158 10939 11387 21878 22774 32817 34161 65634 68322 287087 574174 645401 861261 1290802 1722522 1936203 2111227 3872406 4222454 6333681 12667362 16938133 33876266 50814399 55407791 101628798 110815582 124562393 166223373 249124786 332446746 373687179 747374358 3140444693 3269059669 6280889386 6538119338 9421334079 9807179007 18842668158 19614358014 185286236887 370572473774 555858710661 606105825749 1111717421322 1212211651498 1818317477247 3636634954494 35760243719191 71520487438382 107280731157573 214561462315146