Search a number
-
+
42333255233324 = 22111019525935021
BaseRepresentation
bin10011010000000011110101…
…01000111110111100101100
312112220000112100021210000222
421220001322220332330230
521022042001314431244
6230011343505310512
711626322346225236
oct1150017250767454
9175800470253028
1042333255233324
1112541483a54160
1248b8575635438
131a8101655c793
14a64d2499b256
154d62b9b90bee
hex26807aa3ef2c

42333255233324 has 24 divisors (see below), whose sum is σ = 81618211268496. Its totient is φ = 19051870040000.

The previous prime is 42333255233323. The next prime is 42333255233341.

42333255233324 is nontrivially palindromic in base 10.

42333255233324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (42333255233323) 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 7 ways as a sum of consecutive naturals, for example, 4762963067 + ... + 4762971954.

It is an arithmetic number, because the mean of its divisors is an integer number (3400758802854).

Almost surely, 242333255233324 is an apocalyptic number.

42333255233324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42333255233324 is a deficient number, since it is larger than the sum of its proper divisors (39284956035172).

42333255233324 is a wasteful number, since it uses less digits than its factorization.

42333255233324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525935137 (or 9525935135 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 44.

It can be divided in two parts, 4233325 and 5233324, that added together give a palindrome (9466649).

The spelling of 42333255233324 in words is "forty-two trillion, three hundred thirty-three billion, two hundred fifty-five million, two hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4444 9525935021 19051870042 38103740084 104785285231 209570570462 419141140924 962119437121 1924238874242 3848477748484 10583313808331 21166627616662 42333255233324