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4103431840 = 25523248481
BaseRepresentation
bin1111010010010101…
…0110011010100000
3101120222022221021001
43310211112122200
531400434304330
61515102441344
7203454411064
oct36445263240
911528287231
104103431840
11181630a092
12966293254
135051972a1
142acd99aa4
151903a69ca
hexf49566a0

4103431840 has 72 divisors (see below), whose sum is σ = 10134386388. Its totient is φ = 1569976320.

The previous prime is 4103431819. The next prime is 4103431841. The reversal of 4103431840 is 481343014.

It can be written as a sum of positive squares in 2 ways, for example, as 3788156304 + 315275536 = 61548^2 + 17756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4103431799 and 4103431808.

It is not an unprimeable number, because it can be changed into a prime (4103431841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60400 + ... + 108880.

Almost surely, 24103431840 is an apocalyptic number.

4103431840 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 4103431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067193194).

4103431840 is an abundant number, since it is smaller than the sum of its proper divisors (6030954548).

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

4103431840 is a wasteful number, since it uses less digits than its factorization.

4103431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48542 (or 48511 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4103431840 is about 64058.0349370787. The cubic root of 4103431840 is about 1600.9671028273.

Adding to 4103431840 its reverse (481343014), we get a palindrome (4584774854).

The spelling of 4103431840 in words is "four billion, one hundred three million, four hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 529 736 920 1058 1840 2116 2645 3680 4232 5290 8464 10580 16928 21160 42320 48481 84640 96962 193924 242405 387848 484810 775696 969620 1115063 1551392 1939240 2230126 3878480 4460252 5575315 7756960 8920504 11150630 17841008 22301260 25646449 35682016 44602520 51292898 89205040 102585796 128232245 178410080 205171592 256464490 410343184 512928980 820686368 1025857960 2051715920 4103431840