Search a number
-
+
215231524040 = 235134361157799
BaseRepresentation
bin1100100001110011001…
…1000110110011001000
3202120112212002021110102
43020130303012303020
512011243232232130
6242513114304532
721356431524431
oct3103463066310
9676485067412
10215231524040
11833086476a5
1235868728148
13173b0b0c0b0
14a5bad72488
1558ea76d645
hex321ccc6cc8

215231524040 has 128 divisors (see below), whose sum is σ = 542402784000. Its totient is φ = 76348984320.

The previous prime is 215231524019. The next prime is 215231524043. The reversal of 215231524040 is 40425132512.

It is a super-3 number, since 3×2152315240403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 215231523994 and 215231524012.

It is not an unprimeable number, because it can be changed into a prime (215231524043) 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 31 ways as a sum of consecutive naturals, for example, 1285061 + ... + 1442859.

It is an arithmetic number, because the mean of its divisors is an integer number (4237521750).

Almost surely, 2215231524040 is an apocalyptic number.

215231524040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215231524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271201392000).

215231524040 is an abundant number, since it is smaller than the sum of its proper divisors (327171259960).

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

215231524040 is a wasteful number, since it uses less digits than its factorization.

215231524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157927 (or 157923 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 215231524040 its reverse (40425132512), we get a palindrome (255656656552).

The spelling of 215231524040 in words is "two hundred fifteen billion, two hundred thirty-one million, five hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 61 65 86 104 122 130 172 215 244 260 305 344 430 488 520 559 610 793 860 1118 1220 1586 1720 2236 2440 2623 2795 3172 3965 4472 5246 5590 6344 7930 10492 11180 13115 15860 20984 22360 26230 31720 34099 52460 68198 104920 136396 157799 170495 272792 315598 340990 631196 681980 788995 1262392 1363960 1577990 2051387 3155980 4102774 6311960 6785357 8205548 9625739 10256935 13570714 16411096 19251478 20513870 27141428 33926785 38502956 41027740 48128695 54282856 67853570 77005912 82055480 88209641 96257390 125134607 135707140 176419282 192514780 250269214 271414280 352838564 385029560 413906777 441048205 500538428 625673035 705677128 827813554 882096410 1001076856 1251346070 1655627108 1764192820 2069533885 2502692140 3311254216 3528385640 4139067770 5005384280 5380788101 8278135540 10761576202 16556271080 21523152404 26903940505 43046304808 53807881010 107615762020 215231524040