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4024111312 = 2413432331931
BaseRepresentation
bin1110111111011011…
…0001000011010000
3101101110002000221201
43233312301003100
531220133030222
61503150400544
7201502244644
oct35766610320
911343060851
104024111312
111785562431
12943800154
134c1914270
142a262cc24
15188439427
hexefdb10d0

4024111312 has 80 divisors (see below), whose sum is σ = 8633072448. Its totient is φ = 1805368320.

The previous prime is 4024111309. The next prime is 4024111313. The reversal of 4024111312 is 2131114204.

It is a super-2 number, since 2×40241113122 = 32386943702732722688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4024111312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024111313) 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 15 ways as a sum of consecutive naturals, for example, 2082987 + ... + 2084917.

Almost surely, 24024111312 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 4024111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316536224).

4024111312 is an abundant number, since it is smaller than the sum of its proper divisors (4608961136).

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

4024111312 is a wasteful number, since it uses less digits than its factorization.

4024111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4024111312 is about 63435.8834729997. The cubic root of 4024111312 is about 1590.5841915399.

Adding to 4024111312 its reverse (2131114204), we get a palindrome (6155225516).

The spelling of 4024111312 in words is "four billion, twenty-four million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 233 344 466 559 688 932 1118 1864 1931 2236 3029 3728 3862 4472 6058 7724 8944 10019 12116 15448 20038 24232 25103 30896 40076 48464 50206 80152 83033 100412 130247 160304 166066 200824 260494 332132 401648 449923 520988 664264 899846 1041976 1079429 1328528 1799692 2083952 2158858 3599384 4317716 5848999 7198768 8635432 11697998 17270864 19346689 23395996 38693378 46791992 77386756 93583984 154773512 251506957 309547024 503013914 1006027828 2012055656 4024111312