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4124140144124 = 22711213541173081
BaseRepresentation
bin111100000000111001111…
…010001000010111111100
3112121021010102021102110212
4330000321322020113330
51020032214334102444
612434334232051552
7603650015552420
oct74007172102774
915537112242425
104124140144124
111350046660300
12567352233bb8
1323bb9b962310
1410387647ab80
157242966a19e
hex3c039e885fc

4124140144124 has 144 divisors (see below), whose sum is σ = 9781802616768. Its totient is φ = 1480457088000.

The previous prime is 4124140144109. The next prime is 4124140144141. The reversal of 4124140144124 is 4214410414214.

4124140144124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23741264 + ... + 23914344.

Almost surely, 24124140144124 is an apocalyptic number.

4124140144124 is a gapful number since it is divisible by the number (44) 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 4124140144124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890901308384).

4124140144124 is an abundant number, since it is smaller than the sum of its proper divisors (5657662472644).

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

4124140144124 is a wasteful number, since it uses less digits than its factorization.

4124140144124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173668 (or 173655 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 4124140144124 its reverse (4214410414214), we get a palindrome (8338550558338).

The spelling of 4124140144124 in words is "four trillion, one hundred twenty-four billion, one hundred forty million, one hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 541 572 847 1001 1082 1573 1694 2002 2164 3146 3388 3787 4004 5951 6292 7033 7574 11011 11902 14066 15148 22022 23804 28132 41657 44044 49231 65461 77363 83314 98462 130922 154726 166628 173081 196924 261844 309452 346162 458227 541541 692324 850993 916454 1083082 1211567 1701986 1832908 1903891 2166164 2250053 2423134 3403972 3807782 4500106 4846268 5956951 7615564 9000212 11913902 13327237 15750371 20942801 23827804 24750583 26654474 31500742 41885602 49501166 53308948 63001484 83771204 93636821 99002332 146599607 173254081 187273642 272256413 293199214 346508162 374547284 544512826 586398428 655457747 693016324 1030005031 1089025652 1217278673 1310915494 1905794891 2060010062 2434557346 2621830988 3811589782 4120020124 4869114692 7210035217 7623179564 8520950711 11330055341 13390065403 14420070434 17041901422 22660110682 26780130806 28840140868 34083802844 45320221364 53560261612 79310387387 93730457821 147290719433 158620774774 187460915642 294581438866 317241549548 374921831284 589162877732 1031035036031 2062070072062 4124140144124