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4024240130412 = 2233173613351361
BaseRepresentation
bin111010100011110111011…
…001110100100101101100
3112020201021012202220122000
4322203313121310211230
51011413120433133122
612320413240052300
7563512264501215
oct72436731644554
915221235686560
104024240130412
1113117417073a7
1254bb11a64090
1323263aa90078
14dcaba80640c
156ea2e0d10ac
hex3a8f767496c

4024240130412 has 96 divisors (see below), whose sum is σ = 10510670976960. Its totient is φ = 1331480125440.

The previous prime is 4024240130399. The next prime is 4024240130431. The reversal of 4024240130412 is 2140310424204.

4024240130412 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 240 + 1 + 3 + 0 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11277612 + ... + 11628972.

It is an arithmetic number, because the mean of its divisors is an integer number (109486156010).

Almost surely, 24024240130412 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 4024240130412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255335488480).

4024240130412 is an abundant number, since it is smaller than the sum of its proper divisors (6486430846548).

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

4024240130412 is a wasteful number, since it uses less digits than its factorization.

4024240130412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352160 (or 352152 counting only the distinct ones).

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

Adding to 4024240130412 its reverse (2140310424204), we get a palindrome (6164550554616).

The spelling of 4024240130412 in words is "four trillion, twenty-four billion, two hundred forty million, one hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 613 692 1038 1226 1557 1839 2076 2452 3114 3678 4671 5517 6228 7356 9342 11034 16551 18684 22068 33102 66204 106049 212098 318147 351361 424196 636294 702722 954441 1054083 1272588 1405444 1908882 2108166 2863323 3162249 3817764 4216332 5726646 6324498 9486747 11453292 12648996 18973494 37946988 60785453 121570906 182356359 215384293 243141812 364712718 430768586 547069077 646152879 729425436 861537172 1094138154 1292305758 1641207231 1938458637 2188276308 2584611516 3282414462 3876917274 5815375911 6564828924 7753834548 11630751822 23261503644 37261482689 74522965378 111784448067 149045930756 223568896134 335353344201 447137792268 670706688402 1006060032603 1341413376804 2012120065206 4024240130412