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144300141213397 = 13293238111820481
BaseRepresentation
bin100000110011110101111110…
…101010000111011011010101
3200220220221212221120122122021
4200303311332222013123111
5122403203142122312042
61230522323020533141
742252225006360451
oct4063657652073325
9626827787518567
10144300141213397
1141a843898aa8a4
12142264013b11b1
1362695a267b450
14278c24240b661
1511a38a024b867
hex833d7ea876d5

144300141213397 has 16 divisors (see below), whose sum is σ = 160763756212080. Its totient is φ = 128603039846400.

The previous prime is 144300141213383. The next prime is 144300141213443. The reversal of 144300141213397 is 793312141003441.

It can be written as a sum of positive squares in 8 ways, for example, as 17749318444036 + 126550822769361 = 4212994^2 + 11249481^2 .

It is a cyclic number.

It is not a de Polignac number, because 144300141213397 - 211 = 144300141211349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144300141213377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6297397 + ... + 18117877.

It is an arithmetic number, because the mean of its divisors is an integer number (10047734763255).

Almost surely, 2144300141213397 is an apocalyptic number.

It is an amenable number.

144300141213397 is a deficient number, since it is larger than the sum of its proper divisors (16463614998683).

144300141213397 is a wasteful number, since it uses less digits than its factorization.

144300141213397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852904.

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 144300141213397 in words is "one hundred forty-four trillion, three hundred billion, one hundred forty-one million, two hundred thirteen thousand, three hundred ninety-seven".

Divisors: 1 13 29 377 32381 420953 939049 11820481 12207637 153666253 342793949 4456321337 382758995261 4975866938393 11100010862569 144300141213397