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4231383440 = 245311918933
BaseRepresentation
bin1111110000110101…
…1100100110010000
3101220220002112212012
43330031130212100
532131213232230
61535513122052
7206600110604
oct37415344620
911826075765
104231383440
111881562009
129a10b9328
135258465ab
142c1d85504
1519b72d395
hexfc35c990

4231383440 has 80 divisors (see below), whose sum is σ = 10209632256. Its totient is φ = 1629196800.

The previous prime is 4231383437. The next prime is 4231383449. The reversal of 4231383440 is 443831324.

4231383440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4231383397 and 4231383406.

It is not an unprimeable number, because it can be changed into a prime (4231383449) 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, 469214 + ... + 478146.

Almost surely, 24231383440 is an apocalyptic number.

4231383440 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 4231383440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104816128).

4231383440 is an abundant number, since it is smaller than the sum of its proper divisors (5978248816).

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

4231383440 is a wasteful number, since it uses less digits than its factorization.

4231383440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4231383440 is about 65049.0848513644. The cubic root of 4231383440 is about 1617.4373240503.

The spelling of 4231383440 in words is "four billion, two hundred thirty-one million, three hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 191 248 310 382 496 620 764 955 1240 1528 1910 2480 3056 3820 5921 7640 8933 11842 15280 17866 23684 29605 35732 44665 47368 59210 71464 89330 94736 118420 142928 178660 236840 276923 357320 473680 553846 714640 1107692 1384615 1706203 2215384 2769230 3412406 4430768 5538460 6824812 8531015 11076920 13649624 17062030 22153840 27299248 34124060 52892293 68248120 105784586 136496240 211569172 264461465 423138344 528922930 846276688 1057845860 2115691720 4231383440