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4413104740 = 2251123734889
BaseRepresentation
bin1000001110000101…
…01010001001100100
3102101120000221121201
410013002222021210
533014223322430
62005524052244
7214234525402
oct40702521144
912346027551
104413104740
11196509aa00
12a31b34084
135543a0aa5
142dc16a472
151ac6768ca
hex1070aa264

4413104740 has 72 divisors (see below), whose sum is σ = 10216011960. Its totient is φ = 1600135680.

The previous prime is 4413104723. The next prime is 4413104753. The reversal of 4413104740 is 474013144.

It can be written as a sum of positive squares in 4 ways, for example, as 821739556 + 3591365184 = 28666^2 + 59928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4413104699 and 4413104708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900216 + ... + 905104.

It is an arithmetic number, because the mean of its divisors is an integer number (141889055).

Almost surely, 24413104740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4413104740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108005980).

4413104740 is an abundant number, since it is smaller than the sum of its proper divisors (5802907220).

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

4413104740 is a wasteful number, since it uses less digits than its factorization.

4413104740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 4413104740 is about 66431.2030600079. The cubic root of 4413104740 is about 1640.2677457958.

Adding to 4413104740 its reverse (474013144), we get a palindrome (4887117884).

The spelling of 4413104740 in words is "four billion, four hundred thirteen million, one hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 373 484 605 746 1210 1492 1865 2420 3730 4103 4889 7460 8206 9778 16412 19556 20515 24445 41030 45133 48890 53779 82060 90266 97780 107558 180532 215116 225665 268895 451330 537790 591569 902660 1075580 1183138 1823597 2366276 2957845 3647194 5915690 7294388 9117985 11831380 18235970 20059567 36471940 40119134 80238268 100297835 200595670 220655237 401191340 441310474 882620948 1103276185 2206552370 4413104740