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1134140032 = 27411971097
BaseRepresentation
bin100001110011001…
…1001101010000000
32221001002021122101
41003212121222000
54310314440112
6304312320144
740051013464
oct10346315200
92831067571
101134140032
11532213213
122779a3054
13150c7519c
14aa8a84a4
156987b757
hex43999a80

1134140032 has 64 divisors (see below), whose sum is σ = 2328396840. Its totient is φ = 549928960.

The previous prime is 1134139961. The next prime is 1134140071. The reversal of 1134140032 is 2300414311.

It can be written as a sum of positive squares in 4 ways, for example, as 906250816 + 227889216 = 30104^2 + 15096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11341400322 = 2572547224369922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1134139991 and 1134140009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033308 + ... + 1034404.

Almost surely, 21134140032 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 1134140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164198420).

1134140032 is an abundant number, since it is smaller than the sum of its proper divisors (1194256808).

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

1134140032 is a wasteful number, since it uses less digits than its factorization.

1134140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1134140032 is about 33676.9955904620. The cubic root of 1134140032 is about 1042.8509154173.

Adding to 1134140032 its reverse (2300414311), we get a palindrome (3434554343).

The spelling of 1134140032 in words is "one billion, one hundred thirty-four million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 197 328 394 656 788 1097 1312 1576 2194 2624 3152 4388 5248 6304 8077 8776 12608 16154 17552 25216 32308 35104 44977 64616 70208 89954 129232 140416 179908 216109 258464 359816 432218 516928 719632 864436 1033856 1439264 1728872 2878528 3457744 5757056 6915488 8860469 13830976 17720938 27661952 35441876 70883752 141767504 283535008 567070016 1134140032