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4144935424 = 2971960869
BaseRepresentation
bin1111011100001110…
…1011001000000000
3101200212102112110211
43313003223020000
531442100413144
61523144203504
7204500240560
oct36703531000
911625375424
104144935424
111837787373
12978169594
13510969316
142b46c0da0
15193d54034
hexf70eb200

4144935424 has 80 divisors (see below), whose sum is σ = 9963201600. Its totient is φ = 1682878464.

The previous prime is 4144935419. The next prime is 4144935433. The reversal of 4144935424 is 4245394414.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37662 + ... + 98530.

It is an arithmetic number, because the mean of its divisors is an integer number (124540020).

Almost surely, 24144935424 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 4144935424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981600800).

4144935424 is an abundant number, since it is smaller than the sum of its proper divisors (5818266176).

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

4144935424 is an equidigital number, since it uses as much as digits as its factorization.

4144935424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60913 (or 60897 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 4144935424 is about 64381.1729001577. The cubic root of 4144935424 is about 1606.3465921938.

The spelling of 4144935424 in words is "four billion, one hundred forty-four million, nine hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1064 1216 1792 2128 2432 3584 4256 4864 8512 9728 17024 34048 60869 68096 121738 243476 426083 486952 852166 973904 1156511 1704332 1947808 2313022 3408664 3895616 4626044 6817328 7791232 8095577 9252088 13634656 15582464 16191154 18504176 27269312 31164928 32382308 37008352 54538624 64764616 74016704 109077248 129529232 148033408 218154496 259058464 296066816 518116928 592133632 1036233856 2072467712 4144935424