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4380011412 = 2237236720297
BaseRepresentation
bin1000001010001000…
…11010101110010100
3102022020202122002220
410011010122232110
532432240331122
62002342502340
7213353324400
oct40504325624
912266678086
104380011412
111948447447
12a22a349b0
1354a584b3a
142d79d4100
151a97db25c
hex10511ab94

4380011412 has 72 divisors (see below), whose sum is σ = 11921583744. Its totient is φ = 1247960448.

The previous prime is 4380011381. The next prime is 4380011459. The reversal of 4380011412 is 2141100834.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205648 + ... + 225944.

It is an arithmetic number, because the mean of its divisors is an integer number (165577552).

Almost surely, 24380011412 is an apocalyptic number.

4380011412 is a gapful number since it is divisible by the number (42) 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 4380011412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960791872).

4380011412 is an abundant number, since it is smaller than the sum of its proper divisors (7541572332).

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

4380011412 is a wasteful number, since it uses less digits than its factorization.

4380011412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20685 (or 20676 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4380011412 is about 66181.6546483994. The cubic root of 4380011412 is about 1636.1573991272.

The spelling of 4380011412 in words is "four billion, three hundred eighty million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 367 588 734 1101 1468 2202 2569 4404 5138 7707 10276 15414 17983 20297 30828 35966 40594 53949 60891 71932 81188 107898 121782 142079 215796 243564 284158 426237 568316 852474 994553 1704948 1989106 2983659 3978212 5967318 7448999 11934636 14897998 22346997 29795996 44693994 52142993 89387988 104285986 156428979 208571972 312857958 365000951 625715916 730001902 1095002853 1460003804 2190005706 4380011412