Search a number
-
+
24354033010132 = 22717322872198369
BaseRepresentation
bin1011000100110010111010…
…11111001000010111010100
310012020020000102201112210111
411202121131133020113110
511143004024422311012
6123444031024132404
75062343432663230
oct542313537102724
9105206012645714
1024354033010132
11783a53a7a9181
122893b84467104
1310787633895c7
14602a548d75c0
152c3786e8aba7
hex16265d7c85d4

24354033010132 has 48 divisors (see below), whose sum is σ = 49011058736640. Its totient is φ = 10372568527872.

The previous prime is 24354033009989. The next prime is 24354033010183. The reversal of 24354033010132 is 23101033045342.

It is a happy number.

It is a super-3 number, since 3×243540330101323 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24354033010094 and 24354033010103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9979044 + ... + 12177412.

It is an arithmetic number, because the mean of its divisors is an integer number (1021063723680).

Almost surely, 224354033010132 is an apocalyptic number.

It is an amenable number.

24354033010132 is an abundant number, since it is smaller than the sum of its proper divisors (24657025726508).

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

24354033010132 is a wasteful number, since it uses less digits than its factorization.

24354033010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200840 (or 2200838 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 24354033010132 its reverse (23101033045342), we get a palindrome (47455066055474).

The spelling of 24354033010132 in words is "twenty-four trillion, three hundred fifty-four billion, thirty-three million, ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 173 346 692 1211 2287 2422 4574 4844 9148 16009 32018 64036 395651 791302 1582604 2198369 2769557 4396738 5539114 8793476 11078228 15388583 30777166 61554332 380317837 760635674 1521271348 2662224859 5027669903 5324449718 10055339806 10648899436 20110679612 35193689321 70387378642 140774757284 869786893219 1739573786438 3479147572876 6088508252533 12177016505066 24354033010132