Search a number
-
+
3136113024 = 273111017351
BaseRepresentation
bin1011101011101101…
…0100100110000000
322002120011001022020
42322323110212000
522410321104044
61235105441440
7140500343442
oct27273244600
98076131266
103136113024
11136a288150
12736340280
133ac9605a5
1421a718492
151354cda19
hexbaed4980

3136113024 has 128 divisors (see below), whose sum is σ = 9178824960. Its totient is φ = 940800000.

The previous prime is 3136112999. The next prime is 3136113031. The reversal of 3136113024 is 4203116313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3136112985 and 3136113003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422949 + ... + 430299.

It is an arithmetic number, because the mean of its divisors is an integer number (71709570).

Almost surely, 23136113024 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 3136113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589412480).

3136113024 is an abundant number, since it is smaller than the sum of its proper divisors (6042711936).

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

3136113024 is a wasteful number, since it uses less digits than its factorization.

3136113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3136113024 is about 56001.0091337647. The cubic root of 3136113024 is about 1463.7398683799.

Adding to 3136113024 its reverse (4203116313), we get a palindrome (7339229337).

The spelling of 3136113024 in words is "three billion, one hundred thirty-six million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 264 303 352 384 404 528 606 704 808 1056 1111 1212 1408 1616 2112 2222 2424 3232 3333 4224 4444 4848 6464 6666 7351 8888 9696 12928 13332 14702 17776 19392 22053 26664 29404 35552 38784 44106 53328 58808 71104 80861 88212 106656 117616 142208 161722 176424 213312 235232 242583 323444 352848 426624 470464 485166 646888 705696 742451 940928 970332 1293776 1411392 1484902 1940664 2227353 2587552 2822784 2969804 3881328 4454706 5175104 5939608 7762656 8166961 8909412 10350208 11879216 15525312 16333922 17818824 23758432 24500883 31050624 32667844 35637648 47516864 49001766 65335688 71275296 95033728 98003532 130671376 142550592 196007064 261342752 285101184 392014128 522685504 784028256 1045371008 1568056512 3136113024