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4024240413024 = 253138936230917
BaseRepresentation
bin111010100011110111011…
…010111001100101100000
3112020201021020022021022010
4322203313122321211200
51011413121021204044
612320413250112520
7563512300056156
oct72436732714540
915221236267263
104024240413024
11131174188a767
1254bb11b7b740
1323263ab5b8b0
14dcaba87b3d6
156ea2e139bb9
hex3a8f76b9960

4024240413024 has 96 divisors (see below), whose sum is σ = 11504041083360. Its totient is φ = 1224315113472.

The previous prime is 4024240412989. The next prime is 4024240413029. The reversal of 4024240413024 is 4203140424204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4024240412982 and 4024240413000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024240413029) 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 15 ways as a sum of consecutive naturals, for example, 18004387 + ... + 18226530.

It is an arithmetic number, because the mean of its divisors is an integer number (119833761285).

Almost surely, 24024240413024 is an apocalyptic number.

It is an amenable number.

4024240413024 is an abundant number, since it is smaller than the sum of its proper divisors (7479800670336).

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

4024240413024 is a wasteful number, since it uses less digits than its factorization.

4024240413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36231032 (or 36231024 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4024240413024 its reverse (4203140424204), we get a palindrome (8227380837228).

The spelling of 4024240413024 in words is "four trillion, twenty-four billion, two hundred forty million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 89 96 104 156 178 208 267 312 356 416 534 624 712 1068 1157 1248 1424 2136 2314 2848 3471 4272 4628 6942 8544 9256 13884 18512 27768 37024 55536 111072 36230917 72461834 108692751 144923668 217385502 289847336 434771004 471001921 579694672 869542008 942003842 1159389344 1413005763 1739084016 1884007684 2826011526 3224551613 3478168032 3768015368 5652023052 6449103226 7536030736 9673654839 11304046104 12898206452 15072061472 19347309678 22608092208 25796412904 38694619356 41919170969 45216184416 51592825808 77389238712 83838341938 103185651616 125757512907 154778477424 167676683876 251515025814 309556954848 335353367752 503030051628 670706735504 1006060103256 1341413471008 2012120206512 4024240413024