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214230144304001 = 71726339717241989
BaseRepresentation
bin110000101101011101010111…
…101001101100001110000001
31001002112012110002200000002002
4300231131113221230032001
5211034421313420212001
62035343545235433345
763060421454205410
oct6055352751541601
91032465402600062
10214230144304001
1162295548544971
122003b2a1a55855
13926ca7b780467
143ac8b19823477
1519b793ea4246b
hexc2d757a6c381

214230144304001 has 32 divisors (see below), whose sum is σ = 260877653752320. Its totient is φ = 171733510941696.

The previous prime is 214230144303971. The next prime is 214230144304021. The reversal of 214230144304001 is 100403441032412.

214230144304001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 214230144304001 - 214 = 214230144287617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214230144304021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3803915 + ... + 21045903.

It is an arithmetic number, because the mean of its divisors is an integer number (8152426679760).

Almost surely, 2214230144304001 is an apocalyptic number.

It is an amenable number.

214230144304001 is a deficient number, since it is larger than the sum of its proper divisors (46647509448319).

214230144304001 is a wasteful number, since it uses less digits than its factorization.

214230144304001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17242673.

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

Adding to 214230144304001 its reverse (100403441032412), we get a palindrome (314633585336413).

The spelling of 214230144304001 in words is "two hundred fourteen trillion, two hundred thirty billion, one hundred forty-four million, three hundred four thousand, one".

Divisors: 1 7 17 119 263 397 1841 2779 4471 6749 31297 47243 104411 730877 1774987 12424909 17241989 120693923 293113813 2051796691 4534643107 6845069633 31742501749 47915487431 77088932819 116366183761 539622529733 814563286327 1800253313479 12601773194353 30604306329143 214230144304001