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4213416324 = 223135927759
BaseRepresentation
bin1111101100100011…
…1010000110000100
3101212122021201121110
43323020322012010
532112113310244
61534032045020
7206261306415
oct37310720604
911778251543
104213416324
111872400057
12997093770
13521bc5570
142bd82980c
15199d7e9b9
hexfb23a184

4213416324 has 72 divisors (see below), whose sum is σ = 10771438720. Its totient is φ = 1274298048.

The previous prime is 4213416247. The next prime is 4213416331. The reversal of 4213416324 is 4236143124.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4213416291 and 4213416300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539157 + ... + 546915.

Almost surely, 24213416324 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 4213416324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385719360).

4213416324 is an abundant number, since it is smaller than the sum of its proper divisors (6558022396).

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

4213416324 is a wasteful number, since it uses less digits than its factorization.

4213416324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7897 (or 7836 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 4213416324 is about 64910.8336412343. The cubic root of 4213416324 is about 1615.1447788491.

Adding to 4213416324 its reverse (4236143124), we get a palindrome (8449559448).

The spelling of 4213416324 in words is "four billion, two hundred thirteen million, four hundred sixteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2301 3068 3481 4602 6962 7759 9204 10443 13924 15518 20886 23277 31036 41772 45253 46554 90506 93108 100867 135759 181012 201734 271518 302601 403468 457781 543036 605202 915562 1210404 1373343 1831124 2746686 5493372 5951153 11902306 17853459 23804612 27009079 35706918 54018158 71413836 81027237 108036316 162054474 324108948 351118027 702236054 1053354081 1404472108 2106708162 4213416324