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4231440242200 = 2352149281505319
BaseRepresentation
bin111101100100110101011…
…111100001011000011000
3112222112002100100011200101
4331210311133201120120
51023311442200222300
612555521413345144
7614466014415613
oct75446537413030
915875070304611
104231440242200
1113915a8781106
125840b89381b4
1324903b9ab302
14108b34c5517a
15751096ebb6a
hex3d9357e1618

4231440242200 has 96 divisors (see below), whose sum is σ = 9939391740000. Its totient is φ = 1675230233600.

The previous prime is 4231440242177. The next prime is 4231440242207. The reversal of 4231440242200 is 22420441324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231440242207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8121141 + ... + 8626459.

It is an arithmetic number, because the mean of its divisors is an integer number (103535330625).

Almost surely, 24231440242200 is an apocalyptic number.

4231440242200 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 4231440242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969695870000).

4231440242200 is an abundant number, since it is smaller than the sum of its proper divisors (5707951497800).

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

4231440242200 is a wasteful number, since it uses less digits than its factorization.

4231440242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505765 (or 505756 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4231440242200 its reverse (22420441324), we get a palindrome (4253860683524).

The spelling of 4231440242200 in words is "four trillion, two hundred thirty-one billion, four hundred forty million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 281 298 562 596 745 1124 1192 1405 1490 2248 2810 2980 3725 5620 5960 7025 7450 11240 14050 14900 28100 29800 41869 56200 83738 167476 209345 334952 418690 505319 837380 1010638 1046725 1674760 2021276 2093450 2526595 4042552 4186900 5053190 8373800 10106380 12632975 20212760 25265950 50531900 75292531 101063800 141994639 150585062 283989278 301170124 376462655 567978556 602340248 709973195 752925310 1135957112 1419946390 1505850620 1882313275 2839892780 3011701240 3549865975 3764626550 5679785560 7099731950 7529253100 14199463900 15058506200 21157201211 28398927800 42314402422 84628804844 105786006055 169257609688 211572012110 423144024220 528930030275 846288048440 1057860060550 2115720121100 4231440242200