Search a number
-
+
42345300426 = 23111349353497
BaseRepresentation
bin100111011011111110…
…100000000111001010
311001022010011010212020
4213123332200013022
51143210344103201
631241514425310
73026233054242
oct473376400712
9131263133766
1042345300426
1116a5a8aaa60
128259432236
133cbac289b0
142099c6cb22
15117c855a36
hex9dbfa01ca

42345300426 has 32 divisors (see below), whose sum is σ = 99496651968. Its totient is φ = 11844839040.

The previous prime is 42345300421. The next prime is 42345300509. The reversal of 42345300426 is 62400354324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42345300421) 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 15 ways as a sum of consecutive naturals, for example, 24675891 + ... + 24677606.

It is an arithmetic number, because the mean of its divisors is an integer number (3109270374).

Almost surely, 242345300426 is an apocalyptic number.

42345300426 is an abundant number, since it is smaller than the sum of its proper divisors (57151351542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42345300426 is a wasteful number, since it uses less digits than its factorization.

42345300426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49353526.

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 42345300426 in words is "forty-two billion, three hundred forty-five million, three hundred thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 49353497 98706994 148060491 296120982 542888467 641595461 1085776934 1283190922 1628665401 1924786383 3257330802 3849572766 7057550071 14115100142 21172650213 42345300426