Search a number
-
+
144641134301 = 1917291440269
BaseRepresentation
bin1000011010110101001…
…0001000111011011101
3111211100021210221010012
42012231102020323131
54332211112244201
6150240333253005
713310225233046
oct2065522107335
9454307727105
10144641134301
1156384171024
1224048034165
1310841282201
147001b958cd
153b683dc5bb
hex21ad488edd

144641134301 has 8 divisors (see below), whose sum is σ = 152262976800. Its totient is φ = 137020206960.

The previous prime is 144641134277. The next prime is 144641134307. The reversal of 144641134301 is 103431146441.

144641134301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 144641134301 - 214 = 144641117917 is a prime.

It is a super-3 number, since 3×1446411343013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144641134307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108395 + ... + 548663.

It is an arithmetic number, because the mean of its divisors is an integer number (19032872100).

Almost surely, 2144641134301 is an apocalyptic number.

It is an amenable number.

144641134301 is a deficient number, since it is larger than the sum of its proper divisors (7621842499).

144641134301 is a wasteful number, since it uses less digits than its factorization.

144641134301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457579.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 144641134301 in words is "one hundred forty-four billion, six hundred forty-one million, one hundred thirty-four thousand, three hundred one".

Divisors: 1 19 17291 328529 440269 8365111 7612691279 144641134301