Search a number
-
+
14298164145 = 345196727733
BaseRepresentation
bin11010101000011110…
…01010101110110001
31100220110111222220000
431110033022232301
5213240312223040
610322443140213
71014215250516
oct152417125661
940813458800
1014298164145
116077a39391
122930514669
13146b316175
14998d2d30d
1558a3cd130
hex3543cabb1

14298164145 has 80 divisors (see below), whose sum is σ = 27383442240. Its totient is φ = 7116253056.

The previous prime is 14298164141. The next prime is 14298164159. The reversal of 14298164145 is 54146189241.

14298164145 is a `hidden beast` number, since 1 + 429 + 81 + 6 + 4 + 145 = 666.

It is not a de Polignac number, because 14298164145 - 22 = 14298164141 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14298164145.

It is not an unprimeable number, because it can be changed into a prime (14298164141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 501699 + ... + 529431.

It is an arithmetic number, because the mean of its divisors is an integer number (342293028).

Almost surely, 214298164145 is an apocalyptic number.

14298164145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14298164145 is a deficient number, since it is larger than the sum of its proper divisors (13085278095).

14298164145 is a wasteful number, since it uses less digits than its factorization.

14298164145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27836 (or 27827 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 14298164145 in words is "fourteen billion, two hundred ninety-eight million, one hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 67 81 95 135 171 201 285 335 405 513 603 855 1005 1273 1539 1809 2565 3015 3819 5427 6365 7695 9045 11457 19095 27135 27733 34371 57285 83199 103113 138665 171855 249597 415995 515565 526927 748791 1247985 1580781 1858111 2246373 2634635 3743955 4742343 5574333 7903905 9290555 11231865 14227029 16722999 23711715 27871665 35304109 42681087 50168997 71135145 83614995 105912327 150506991 176520545 213405435 250844985 317736981 529561635 752534955 953210943 1588684905 2859632829 4766054715 14298164145