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4214104300 = 2252715833803
BaseRepresentation
bin1111101100101110…
…0010000011101100
3101212200120200100001
43323023202003230
532112302314200
61534054514044
7206300203240
oct37313420354
911780520301
104214104300
11187282aa2a
12997365924
135220a6753
142bd968420
15199e6876a
hexfb2e20ec

4214104300 has 72 divisors (see below), whose sum is σ = 10460330496. Its totient is φ = 1443543360.

The previous prime is 4214104267. The next prime is 4214104309. The reversal of 4214104300 is 34014124.

It is not an unprimeable number, because it can be changed into a prime (4214104309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106199 + ... + 1110001.

It is an arithmetic number, because the mean of its divisors is an integer number (145282368).

Almost surely, 24214104300 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 4214104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230165248).

4214104300 is an abundant number, since it is smaller than the sum of its proper divisors (6246226196).

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

4214104300 is a wasteful number, since it uses less digits than its factorization.

4214104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4214104300 is about 64916.1328176594. The cubic root of 4214104300 is about 1615.2326822103.

Adding to 4214104300 its reverse (34014124), we get a palindrome (4248118424).

The spelling of 4214104300 in words is "four billion, two hundred fourteen million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1583 3166 3803 6332 7606 7915 11081 15212 15830 19015 22162 26621 31660 38030 39575 44324 53242 55405 76060 79150 95075 106484 110810 133105 158300 190150 221620 266210 277025 380300 532420 554050 665525 1108100 1331050 2662100 6020149 12040298 24080596 30100745 42141043 60201490 84282086 120402980 150503725 168564172 210705215 301007450 421410430 602014900 842820860 1053526075 2107052150 4214104300