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4231414111040 = 265569103922367
BaseRepresentation
bin111101100100110011111…
…011110101101101000000
3112222112000112011120110122
4331210303323311231000
51023311414003023130
612555515041315412
7614465246332514
oct75446373655500
915875015146418
104231414111040
111391594a53406
125840b0035b68
1324903645c29c
14108b315b2144
15751072892e5
hex3d933ef5b40

4231414111040 has 112 divisors (see below), whose sum is σ = 10103929804800. Its totient is φ = 1687889375232.

The previous prime is 4231414111037. The next prime is 4231414111049. The reversal of 4231414111040 is 401114141324.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231414111049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189169937 + ... + 189192303.

Almost surely, 24231414111040 is an apocalyptic number.

4231414111040 is a gapful number since it is divisible by the number (40) 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 4231414111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051964902400).

4231414111040 is an abundant number, since it is smaller than the sum of its proper divisors (5872515693760).

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

4231414111040 is a wasteful number, since it uses less digits than its factorization.

4231414111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23992 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 4231414111040 its reverse (401114141324), we get a palindrome (4632528252364).

The spelling of 4231414111040 in words is "four trillion, two hundred thirty-one billion, four hundred fourteen million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 569 1039 1138 2078 2276 2845 4156 4552 5195 5690 8312 9104 10390 11380 16624 18208 20780 22367 22760 33248 36416 41560 44734 45520 66496 83120 89468 91040 111835 166240 178936 182080 223670 332480 357872 447340 591191 715744 894680 1182382 1431488 1789360 2364764 2955955 3578720 4729528 5911910 7157440 9459056 11823820 12726823 18918112 23239313 23647640 25453646 37836224 46478626 47295280 50907292 63634115 92957252 94590560 101814584 116196565 127268230 185914504 189181120 203629168 232393130 254536460 371829008 407258336 464786260 509072920 743658016 814516672 929572520 1018145840 1487316032 1859145040 2036291680 3718290080 4072583360 7436580160 13223169097 26446338194 52892676388 66115845485 105785352776 132231690970 211570705552 264463381940 423141411104 528926763880 846282822208 1057853527760 2115707055520 4231414111040