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1141140032 = 26235314627
BaseRepresentation
bin100010000000100…
…0110101001000000
32221112020220211122
41010001012221000
54314112440112
6305122331412
740164346604
oct10401065100
92845226748
101141140032
1153616443a
1227a1b9b68
131525563b6
14ab7ab504
156a2b0872
hex44046a40

1141140032 has 56 divisors (see below), whose sum is σ = 2407651776. Its totient is φ = 535428608.

The previous prime is 1141140031. The next prime is 1141140041. The reversal of 1141140032 is 2300411411.

It is a happy number.

It is a super-2 number, since 2×11411400322 = 2604401145265922048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1141140031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70703 + ... + 85329.

Almost surely, 21141140032 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 1141140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203825888).

1141140032 is an abundant number, since it is smaller than the sum of its proper divisors (1266511744).

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

1141140032 is a wasteful number, since it uses less digits than its factorization.

1141140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1141140032 is about 33780.7642305499. The cubic root of 1141140032 is about 1044.9920352254.

Adding to 1141140032 its reverse (2300411411), we get a palindrome (3441551443).

The spelling of 1141140032 in words is "one billion, one hundred forty-one million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 184 212 368 424 736 848 1219 1472 1696 2438 3392 4876 9752 14627 19504 29254 39008 58508 78016 117016 234032 336421 468064 672842 775231 936128 1345684 1550462 2691368 3100924 5382736 6201848 10765472 12403696 17830313 21530944 24807392 35660626 49614784 71321252 142642504 285285008 570570016 1141140032