Search a number
-
+
14962426941 = 37112101173337
BaseRepresentation
bin11011110111101010…
…01000010000111101
31102121202110001010210
431323311020100331
5221120340130231
610512412423033
71036532346660
oct157365102075
942552401123
1014962426941
116388999900
122a96a77a79
131545b22087
14a1d2436d7
155c8891a46
hex37bd4843d

14962426941 has 96 divisors (see below), whose sum is σ = 25530994944. Its totient is φ = 7628544000.

The previous prime is 14962426933. The next prime is 14962427023.

14962426941 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14962426941 - 23 = 14962426933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14962426441) 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 95 ways as a sum of consecutive naturals, for example, 44398725 + ... + 44399061.

It is an arithmetic number, because the mean of its divisors is an integer number (265947864).

Almost surely, 214962426941 is an apocalyptic number.

14962426941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14962426941 is a deficient number, since it is larger than the sum of its proper divisors (10568568003).

14962426941 is a wasteful number, since it uses less digits than its factorization.

14962426941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 14962426941 in words is "fourteen billion, nine hundred sixty-two million, four hundred twenty-six thousand, nine hundred forty-one".

Divisors: 1 3 7 11 21 33 77 101 121 173 231 303 337 363 519 707 847 1011 1111 1211 1903 2121 2359 2541 3333 3633 3707 5709 7077 7777 11121 12221 13321 17473 20933 23331 25949 34037 36663 39963 40777 52419 58301 62799 77847 85547 102111 122311 122331 146531 174903 192203 238259 256641 285439 366933 374407 408107 439593 576609 641311 714777 856317 1123221 1224321 1345421 1923933 2114233 2620849 4036263 4118477 4489177 5888401 6342699 7054421 7862547 12355431 13467531 14799631 17665203 21163263 28829339 41218807 44398893 49380947 64772411 86488017 123656421 148142841 194317233 453406877 712496521 1360220631 2137489563 4987475647 14962426941