Search a number
-
+
14243023201401 = 32431791087189151
BaseRepresentation
bin1100111101000011011001…
…0101101010010001111001
31212102121201202221201102200
43033100312111222101321
53331324202414421101
650143053213420413
73000011251442451
oct317206625522171
955377652851380
1014243023201401
1145a1483311885
12172048779a709
137c415a771537
1437351a442d61
1519a761482986
hexcf43656a479

14243023201401 has 48 divisors (see below), whose sum is σ = 21188897832960. Its totient is φ = 9214180466400.

The previous prime is 14243023201367. The next prime is 14243023201403. The reversal of 14243023201401 is 10410232034241.

14243023201401 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 30 + 23 + 201 + 401 = 666.

It is a de Polignac number, because none of the positive numbers 2k-14243023201401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14243023201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75205176 + ... + 75394326.

It is an arithmetic number, because the mean of its divisors is an integer number (441435371520).

Almost surely, 214243023201401 is an apocalyptic number.

It is an amenable number.

14243023201401 is a deficient number, since it is larger than the sum of its proper divisors (6945874631559).

14243023201401 is a wasteful number, since it uses less digits than its factorization.

14243023201401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190466 (or 190463 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14243023201401 its reverse (10410232034241), we get a palindrome (24653255235642).

The spelling of 14243023201401 in words is "fourteen trillion, two hundred forty-three billion, twenty-three million, two hundred one thousand, four hundred one".

Divisors: 1 3 9 43 129 179 387 537 1087 1611 3261 7697 9783 23091 46741 69273 140223 189151 194573 420669 567453 583719 1702359 1751157 8133493 8366639 24400479 25099917 33858029 73201437 75299751 101574087 205607137 304722261 616821411 1455895247 1850464233 4367685741 8841106891 13103057223 26523320673 36803677523 79569962019 110411032569 331233097707 1582558133489 4747674400467 14243023201401