Search a number
-
+
401133123104 = 2572366975659
BaseRepresentation
bin1011101011001010110…
…01011011011000100000
31102100101122201222200012
411311211121123120200
523033010034414404
6504140014544052
740660311200630
oct5654531333040
91370348658605
10401133123104
1114513521057a
12658aa808028
132ba9931869c
14155b48846c0
15a67b123a6e
hex5d6565b620

401133123104 has 48 divisors (see below), whose sum is σ = 902599588800. Its totient is φ = 171904660224.

The previous prime is 401133123101. The next prime is 401133123107. The reversal of 401133123104 is 401321331104.

It is an interprime number because it is at equal distance from previous prime (401133123101) and next prime (401133123107).

It is a self number, because there is not a number n which added to its sum of digits gives 401133123104.

It is not an unprimeable number, because it can be changed into a prime (401133123101) 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 7 ways as a sum of consecutive naturals, for example, 5264027 + ... + 5339685.

It is an arithmetic number, because the mean of its divisors is an integer number (18804158100).

Almost surely, 2401133123104 is an apocalyptic number.

It is an amenable number.

401133123104 is an abundant number, since it is smaller than the sum of its proper divisors (501466465696).

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

401133123104 is a wasteful number, since it uses less digits than its factorization.

401133123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99345 (or 99337 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 401133123104 its reverse (401321331104), we get a palindrome (802454454208).

The spelling of 401133123104 in words is "four hundred one billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 23669 47338 75659 94676 151318 165683 189352 302636 331366 378704 529613 605272 662732 757408 1059226 1210544 1325464 2118452 2421088 2650928 4236904 5301856 8473808 16947616 1790772871 3581545742 7163091484 12535410097 14326182968 25070820194 28652365936 50141640388 57304731872 100283280776 200566561552 401133123104