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4214114020 = 2251716937321
BaseRepresentation
bin1111101100101110…
…0100011011100100
3101212200121011200001
43323023210123210
532112303122040
61534055031044
7206300243464
oct37313443344
911780534601
104214114020
111872837266
1299736b484
135220aacbc
142bd96bba4
15199e6b59a
hexfb2e46e4

4214114020 has 48 divisors (see below), whose sum is σ = 9377021808. Its totient is φ = 1585336320.

The previous prime is 4214113957. The next prime is 4214114041. The reversal of 4214114020 is 204114124.

It can be written as a sum of positive squares in 8 ways, for example, as 544662244 + 3669451776 = 23338^2 + 60576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571960 + ... + 579280.

It is an arithmetic number, because the mean of its divisors is an integer number (195354621).

Almost surely, 24214114020 is an apocalyptic number.

It is an amenable number.

4214114020 is an abundant number, since it is smaller than the sum of its proper divisors (5162907788).

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

4214114020 is a wasteful number, since it uses less digits than its factorization.

4214114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4214114020 is about 64916.2076834437. The cubic root of 4214114020 is about 1615.2339240756.

Adding to 4214114020 its reverse (204114124), we get a palindrome (4418228144).

The spelling of 4214114020 in words is "four billion, two hundred fourteen million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1693 3386 6772 7321 8465 14642 16930 28781 29284 33860 36605 57562 73210 115124 124457 143905 146420 248914 287810 497828 575620 622285 1244570 2489140 12394453 24788906 49577812 61972265 123944530 210705701 247889060 421411402 842822804 1053528505 2107057010 4214114020