Search a number
-
+
42354466445324 = 221110169113792631
BaseRepresentation
bin10011010000101011010101…
…11011010101100000001100
312112222001021120220222210102
421220111222323111200030
521022413421402222244
6230025212343230232
711631003106445405
oct1150255273254014
9175861246828712
1042354466445324
111254a479147730
1249006b5148378
131a83016b55cb7
14a65d77a909ac
154d6b0be0e54e
hex26856aed580c

42354466445324 has 48 divisors (see below), whose sum is σ = 81777287515392. Its totient is φ = 19033829400000.

The previous prime is 42354466445261. The next prime is 42354466445363.

42354466445324 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42354466445324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3825512 + ... + 9967119.

It is an arithmetic number, because the mean of its divisors is an integer number (1703693489904).

Almost surely, 242354466445324 is an apocalyptic number.

42354466445324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42354466445324 is a deficient number, since it is larger than the sum of its proper divisors (39422821070068).

42354466445324 is a wasteful number, since it uses less digits than its factorization.

42354466445324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793438 (or 13793436 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 56.

The spelling of 42354466445324 in words is "forty-two trillion, three hundred fifty-four billion, four hundred sixty-six million, four hundred forty-five thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 101 202 404 691 1111 1382 2222 2764 4444 7601 15202 30404 69791 139582 279164 767701 1535402 3070804 13792631 27585262 55170524 151718941 303437882 606875764 1393055731 2786111462 5572222924 9530708021 15323613041 19061416042 30647226082 38122832084 61294452164 104837788231 209675576462 419351152924 962601510121 1925203020242 3850406040484 10588616611331 21177233222662 42354466445324