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4212114320 = 245137384317
BaseRepresentation
bin1111101100001111…
…1100001110010000
3101212112211120121002
43323003330032100
532111300124240
61533544121132
7206244244451
oct37303741620
911775746532
104212114320
1118716a0917
129967661a8
1352185aa4b
142bd5ab128
15199bc3d15
hexfb0fc390

4212114320 has 40 divisors (see below), whose sum is σ = 9864674424. Its totient is φ = 1672543232.

The previous prime is 4212114317. The next prime is 4212114329. The reversal of 4212114320 is 234112124.

It can be written as a sum of positive squares in 4 ways, for example, as 1762656256 + 2449458064 = 41984^2 + 49492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4212114292 and 4212114301.

It is not an unprimeable number, because it can be changed into a prime (4212114329) 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 7 ways as a sum of consecutive naturals, for example, 181199 + ... + 203118.

Almost surely, 24212114320 is an apocalyptic number.

4212114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212114320 is an abundant number, since it is smaller than the sum of its proper divisors (5652560104).

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

4212114320 is a wasteful number, since it uses less digits than its factorization.

4212114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384467 (or 384461 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4212114320 is about 64900.8036930206. The cubic root of 4212114320 is about 1614.9783943408.

Adding to 4212114320 its reverse (234112124), we get a palindrome (4446226444).

The spelling of 4212114320 in words is "four billion, two hundred twelve million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 384317 768634 1537268 1921585 3074536 3843170 6149072 7686340 15372680 30745360 52651429 105302858 210605716 263257145 421211432 526514290 842422864 1053028580 2106057160 4212114320