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4033404024132 = 22371632423121577
BaseRepresentation
bin111010101100011001100…
…111010011010101000100
3112021120220212020221120010
4322230121213103111010
51012040402412233012
612324530434110220
7564255340346430
oct72543147232504
915246825227503
104033404024132
11131561446a38a
1255184aa1b370
1323346b4951a2
14dd3098c19c0
156edb8883c3c
hex3ab199d3544

4033404024132 has 96 divisors (see below), whose sum is σ = 10826285524992. Its totient is φ = 1144849095936.

The previous prime is 4033404024121. The next prime is 4033404024151. The reversal of 4033404024132 is 2314204043304.

It is a happy number.

4033404024132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40334040241322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4033404024132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33114928 + ... + 33236504.

It is an arithmetic number, because the mean of its divisors is an integer number (112773807552).

Almost surely, 24033404024132 is an apocalyptic number.

4033404024132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033404024132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413142762496).

4033404024132 is an abundant number, since it is smaller than the sum of its proper divisors (6792881500860).

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

4033404024132 is a wasteful number, since it uses less digits than its factorization.

4033404024132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124177 (or 124175 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4033404024132 its reverse (2314204043304), we get a palindrome (6347608067436).

The spelling of 4033404024132 in words is "four trillion, thirty-three billion, four hundred four million, twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 2423 3423 4564 4846 6846 7269 9692 13692 14538 16961 29076 33922 50883 67844 101766 121577 203532 243154 364731 394949 486308 729462 789898 851039 1184847 1458924 1579796 1702078 2369694 2553117 2764643 3404156 4739388 5106234 5529286 8293929 10212468 11058572 16587858 19817051 33175716 39634102 59451153 79268204 118902306 138719357 237804612 277438714 294581071 416158071 554877428 589162142 832316142 883743213 1178324284 1664632284 1767486426 2062067497 3534972852 4124134994 6186202491 8248269988 12372404982 24744809964 48016714573 96033429146 144050143719 192066858292 288100287438 336117002011 576200574876 672234004022 1008351006033 1344468008044 2016702012066 4033404024132