Search a number
-
+
14444251344315 = 32513181136414519
BaseRepresentation
bin1101001000110001000001…
…1110000110110110111011
31220010212010201012112021200
43102030100132012312323
53343123311321004230
650415333015105243
73020364004440162
oct322142036066673
956125121175250
1014444251344315
114669855360a21
121753486672223
1380a1193597a0
1437d16969c3d9
151a0adc651160
hexd2310786dbb

14444251344315 has 48 divisors (see below), whose sum is σ = 27111567362880. Its totient is φ = 7071728613120.

The previous prime is 14444251344287. The next prime is 14444251344331. The reversal of 14444251344315 is 51344315244441.

14444251344315 is a `hidden beast` number, since 1 + 4 + 4 + 44 + 251 + 3 + 44 + 315 = 666.

14444251344315 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 14444251344315 - 26 = 14444251344251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68101375 + ... + 68313144.

It is an arithmetic number, because the mean of its divisors is an integer number (564824320060).

Almost surely, 214444251344315 is an apocalyptic number.

14444251344315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14444251344315 is a deficient number, since it is larger than the sum of its proper divisors (12667316018565).

14444251344315 is a wasteful number, since it uses less digits than its factorization.

14444251344315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136414724 (or 136414721 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

Adding to 14444251344315 its reverse (51344315244441), we get a palindrome (65788566588756).

The spelling of 14444251344315 in words is "fourteen trillion, four hundred forty-four billion, two hundred fifty-one million, three hundred forty-four thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 39 45 65 117 181 195 543 585 905 1629 2353 2715 7059 8145 11765 21177 35295 105885 136414519 409243557 682072595 1227730671 1773388747 2046217785 5320166241 6138653355 8866943735 15960498723 24691027939 26600831205 74073083817 79802493615 123455139695 222219251451 320983363207 370365419085 962950089621 1111096257255 1604916816035 2888850268863 4814750448105 14444251344315