Search a number
-
+
14153199135141 = 3111931728157593
BaseRepresentation
bin1100110111110100110001…
…1010000010100110100101
31212010000212210010101000210
43031331030122002212211
53323341222434311031
650033520120130033
72660351316460323
oct315751432024645
955100783111023
1014153199135141
114567379a36380
121706b99906919
137b884422b381
1436d038a60d13
151982557a9746
hexcdf4c6829a5

14153199135141 has 32 divisors (see below), whose sum is σ = 22369001287680. Its totient is φ = 7864101993600.

The previous prime is 14153199135139. The next prime is 14153199135167.

14153199135141 is nontrivially palindromic in base 10.

14153199135141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14153199135141 - 21 = 14153199135139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14153199135121) 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, 364059360 + ... + 364098233.

It is an arithmetic number, because the mean of its divisors is an integer number (699031290240).

Almost surely, 214153199135141 is an apocalyptic number.

14153199135141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14153199135141 is a deficient number, since it is larger than the sum of its proper divisors (8215802152539).

14153199135141 is a wasteful number, since it uses less digits than its factorization.

14153199135141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728157657.

The product of its digits is 291600, while the sum is 48.

The spelling of 14153199135141 in words is "fourteen trillion, one hundred fifty-three billion, one hundred ninety-nine million, one hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 11 19 31 33 57 93 209 341 589 627 1023 1767 6479 19437 728157593 2184472779 8009733523 13834994267 22572885383 24029200569 41504982801 67718656149 152184936937 248301739213 428884822277 456554810811 744905217639 1286654466831 4717733045047 14153199135141