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4214120300 = 22521311328687
BaseRepresentation
bin1111101100101110…
…0101111101101100
3101212200121111021122
43323023211331230
532112303322200
61534055120112
7206300301005
oct37313457554
911780544248
104214120300
111872840a55
12997373038
135220b0b10
142bd9701ac
15199e6d385
hexfb2e5f6c

4214120300 has 72 divisors (see below), whose sum is σ = 9935572416. Its totient is φ = 1542159360.

The previous prime is 4214120243. The next prime is 4214120303. The reversal of 4214120300 is 30214124.

It is not an unprimeable number, because it can be changed into a prime (4214120303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132557 + ... + 161243.

Almost surely, 24214120300 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 4214120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967786208).

4214120300 is an abundant number, since it is smaller than the sum of its proper divisors (5721452116).

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

4214120300 is a wasteful number, since it uses less digits than its factorization.

4214120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28827 (or 28820 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4214120300 is about 64916.2560534725. The cubic root of 4214120300 is about 1615.2347264320.

Adding to 4214120300 its reverse (30214124), we get a palindrome (4244334424).

The spelling of 4214120300 in words is "four billion, two hundred fourteen million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 113 130 226 260 325 452 565 650 1130 1300 1469 2260 2825 2938 5650 5876 7345 11300 14690 28687 29380 36725 57374 73450 114748 143435 146900 286870 372931 573740 717175 745862 1434350 1491724 1864655 2868700 3241631 3729310 6483262 7458620 9323275 12966524 16208155 18646550 32416310 37293100 42141203 64832620 81040775 84282406 162081550 168564812 210706015 324163100 421412030 842824060 1053530075 2107060150 4214120300