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4011042432124 = 2271359439425441
BaseRepresentation
bin111010010111100100110…
…000100110010001111100
3112012110012102222101002201
4322113210300212101330
51011204103330311444
612310351503401244
7562534241063560
oct72274460462174
915173172871081
104011042432124
111307089981332
12549449bb3224
1323131675b940
14dc1c7ad76a0
156e50a62bdd4
hex3a5e4c2647c

4011042432124 has 96 divisors (see below), whose sum is σ = 8805628339200. Its totient is φ = 1556334397440.

The previous prime is 4011042432097. The next prime is 4011042432127. The reversal of 4011042432124 is 4212342401104.

4011042432124 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 2×40110424321242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4011042432092 and 4011042432101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011042432127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9215244 + ... + 9640684.

It is an arithmetic number, because the mean of its divisors is an integer number (91725295200).

Almost surely, 24011042432124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011042432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402814169600).

4011042432124 is an abundant number, since it is smaller than the sum of its proper divisors (4794585907076).

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

4011042432124 is a wasteful number, since it uses less digits than its factorization.

4011042432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425963 (or 425961 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4011042432124 its reverse (4212342401104), we get a palindrome (8223384833228).

The spelling of 4011042432124 in words is "four trillion, eleven billion, forty-two million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 182 236 364 413 439 767 826 878 1534 1652 1756 3068 3073 5369 5707 6146 10738 11414 12292 21476 22828 25901 39949 51802 79898 103604 159796 181307 336713 362614 425441 673426 725228 850882 1346852 1701764 2356991 2978087 4713982 5530733 5956174 9427964 11061466 11912348 22122932 25101019 38715131 50202038 77430262 100404076 154860524 175707133 186768599 326313247 351414266 373537198 652626494 702828532 747074396 1305252988 1307380193 2284192729 2427991787 2614760386 4568385458 4855983574 5229520772 9136770916 9711967148 11019347341 16995942509 22038694682 33991885018 44077389364 67983770036 77135431387 143251515433 154270862774 286503030866 308541725548 573006061732 1002760608031 2005521216062 4011042432124