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30400444235 = 5723317119131
BaseRepresentation
bin11100010100000000…
…011111011101001011
32220110122210120121002
4130110000133131023
5444230003203420
621544335005215
72124231340520
oct342400373513
986418716532
1030400444235
1111990292787
125a8506980b
132b36330955
1416856c7147
15bcdd79075
hex71401f74b

30400444235 has 32 divisors (see below), whose sum is σ = 43642340352. Its totient is φ = 19876602240.

The previous prime is 30400444213. The next prime is 30400444267. The reversal of 30400444235 is 53244400403.

It is not a de Polignac number, because 30400444235 - 212 = 30400440139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30400444198 and 30400444207.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 195620 + ... + 314750.

It is an arithmetic number, because the mean of its divisors is an integer number (1363823136).

Almost surely, 230400444235 is an apocalyptic number.

30400444235 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30400444235 is a deficient number, since it is larger than the sum of its proper divisors (13241896117).

30400444235 is a wasteful number, since it uses less digits than its factorization.

30400444235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119483.

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 30400444235 its reverse (53244400403), we get a palindrome (83644844638).

The spelling of 30400444235 in words is "thirty billion, four hundred million, four hundred forty-four thousand, two hundred thirty-five".

Divisors: 1 5 7 23 35 115 161 317 805 1585 2219 7291 11095 36455 51037 119131 255185 595655 833917 2740013 4169585 13700065 19180091 37764527 95900455 188822635 264351689 868584121 1321758445 4342920605 6080088847 30400444235