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1133143024 = 2413172313933
BaseRepresentation
bin100001110001010…
…0110001111110000
32220222012122000011
41003202212033300
54310041034044
6304235104304
740036361656
oct10342461760
92828178004
101133143024
115316a2142
122775a2094
131509b6440
14aa6c8dd6
1569731134
hex438a63f0

1133143024 has 80 divisors (see below), whose sum is σ = 2612457792. Its totient is φ = 470790144.

The previous prime is 1133143003. The next prime is 1133143027. The reversal of 1133143024 is 4203413311.

It is a super-2 number, since 2×11331430242 = 2568026225679729152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133142986 and 1133143004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133143027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74362 + ... + 88294.

Almost surely, 21133143024 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 1133143024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306228896).

1133143024 is an abundant number, since it is smaller than the sum of its proper divisors (1479314768).

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

1133143024 is a wasteful number, since it uses less digits than its factorization.

1133143024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13994 (or 13988 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1133143024 is about 33662.1898277578. The cubic root of 1133143024 is about 1042.5452401931.

Adding to 1133143024 its reverse (4203413311), we get a palindrome (5336556335).

The spelling of 1133143024 in words is "one billion, one hundred thirty-three million, one hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 17 23 26 34 46 52 68 92 104 136 184 208 221 272 299 368 391 442 598 782 884 1196 1564 1768 2392 3128 3536 4784 5083 6256 10166 13933 20332 27866 40664 55732 81328 111464 181129 222928 236861 320459 362258 473722 640918 724516 947444 1281836 1449032 1894888 2563672 2898064 3079193 3789776 4165967 5127344 5447803 6158386 8331934 10895606 12316772 16663868 21791212 24633544 33327736 43582424 49267088 66655472 70821439 87164848 141642878 283285756 566571512 1133143024