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4011440032044 = 22322691733239027
BaseRepresentation
bin111010010111111100011…
…101010100100100101100
3112012111020011010112122200
4322113330131110210230
51011210412122011134
612310455145341500
7562550136451164
oct72277435244454
915174204115580
104011440032044
111307273358005
1254953b197890
1323137ac3c973
14dc2248355a4
156e5304b9499
hex3a5fc75492c

4011440032044 has 72 divisors (see below), whose sum is σ = 10183639742640. Its totient is φ = 1331401590912.

The previous prime is 4011440032027. The next prime is 4011440032049. The reversal of 4011440032044 is 4402300441104.

4011440032044 is a `hidden beast` number, since 4 + 0 + 11 + 440 + 0 + 3 + 204 + 4 = 666.

It is a super-4 number, since 4×40114400320444 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4011440031999 and 4011440032017.

It is not an unprimeable number, because it can be changed into a prime (4011440032049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16662859 + ... + 16901885.

It is an arithmetic number, because the mean of its divisors is an integer number (141439440870).

Almost surely, 24011440032044 is an apocalyptic number.

It is an amenable number.

4011440032044 is an abundant number, since it is smaller than the sum of its proper divisors (6172199710596).

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

4011440032044 is a wasteful number, since it uses less digits than its factorization.

4011440032044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241039 (or 241034 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4011440032044 its reverse (4402300441104), we get a palindrome (8413740473148).

The spelling of 4011440032044 in words is "four trillion, eleven billion, four hundred forty million, thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 1733 2421 3228 3466 4842 5199 6932 9684 10398 15597 20796 31194 62388 239027 466177 478054 717081 932354 956108 1398531 1434162 1864708 2151243 2797062 2868324 4195593 4302486 5594124 8391186 8604972 16782372 64298263 128596526 192894789 257193052 385789578 414233791 578684367 771579156 828467582 1157368734 1242701373 1656935164 2314737468 2485402746 3728104119 4970805492 7456208238 14912416476 111428889779 222857779558 334286669337 445715559116 668573338674 1002860008011 1337146677348 2005720016022 4011440032044