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4420121000 = 23536172461
BaseRepresentation
bin1000001110111010…
…11011000110101000
3102102001020102010012
410013131123012220
533023022333000
62010334311052
7214351260101
oct40735330650
912361212105
104420121000
111969052369
12a34358488
13555989519
142dd0753a8
151ad0b0735
hex10775b1a8

4420121000 has 64 divisors (see below), whose sum is σ = 10512786960. Its totient is φ = 1739040000.

The previous prime is 4420120981. The next prime is 4420121003. The reversal of 4420121000 is 1210244.

It can be written as a sum of positive squares in 8 ways, for example, as 236359876 + 4183761124 = 15374^2 + 64682^2 .

It is not an unprimeable number, because it can be changed into a prime (4420121003) 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, 24770 + ... + 97230.

Almost surely, 24420121000 is an apocalyptic number.

4420121000 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 4420121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256393480).

4420121000 is an abundant number, since it is smaller than the sum of its proper divisors (6092665960).

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

4420121000 is a wasteful number, since it uses less digits than its factorization.

4420121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72543 (or 72529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4420121000 is about 66483.9905541176. The cubic root of 4420121000 is about 1641.1365560027.

Adding to 4420121000 its reverse (1210244), we get a palindrome (4421331244).

The spelling of 4420121000 in words is "four billion, four hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 6100 7625 12200 15250 30500 61000 72461 144922 289844 362305 579688 724610 1449220 1811525 2898440 3623050 4420121 7246100 8840242 9057625 14492200 17680484 18115250 22100605 35360968 36230500 44201210 72461000 88402420 110503025 176804840 221006050 442012100 552515125 884024200 1105030250 2210060500 4420121000