Search a number
-
+
34420420001 = 1147929759
BaseRepresentation
bin100000000011100111…
…011110110110100001
310021211211002111122102
4200003213132312201
51030443111420001
623451301020145
72325653512502
oct400347366641
9107754074572
1034420420001
1113663480000
1268073b4655
133327127736
14194755aba9
15d66c47e6b
hex8039deda1

34420420001 has 20 divisors (see below), whose sum is σ = 38342784000. Its totient is φ = 30894160440.

The previous prime is 34420419989. The next prime is 34420420003. The reversal of 34420420001 is 10002402443.

It is not a de Polignac number, because 34420420001 - 218 = 34420157857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34420420003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1141760 + ... + 1171518.

It is an arithmetic number, because the mean of its divisors is an integer number (1917139200).

Almost surely, 234420420001 is an apocalyptic number.

It is an amenable number.

34420420001 is a deficient number, since it is larger than the sum of its proper divisors (3922363999).

34420420001 is an frugal number, since it uses more digits than its factorization.

34420420001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29882 (or 29849 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34420420001 its reverse (10002402443), we get a palindrome (44422822444).

The spelling of 34420420001 in words is "thirty-four billion, four hundred twenty million, four hundred twenty thousand, one".

Divisors: 1 11 79 121 869 1331 9559 14641 29759 105149 327349 1156639 2350961 3600839 25860571 39609229 284466281 435701519 3129129091 34420420001