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1141332140 = 2251325117489
BaseRepresentation
bin100010000000111…
…0101100010101100
32221112121200100202
41010001311202230
54314140112030
6305130413032
740166106644
oct10401654254
92845550322
101141332140
11536285803
1227a291178
131525c2980
14ab81b524
156a2ec745
hex440758ac

1141332140 has 48 divisors (see below), whose sum is σ = 2591598240. Its totient is φ = 419712000.

The previous prime is 1141332131. The next prime is 1141332169. The reversal of 1141332140 is 412331411.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 56516 + ... + 74004.

It is an arithmetic number, because the mean of its divisors is an integer number (53991630).

Almost surely, 21141332140 is an apocalyptic number.

1141332140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295799120).

1141332140 is an abundant number, since it is smaller than the sum of its proper divisors (1450266100).

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

1141332140 is a wasteful number, since it uses less digits than its factorization.

1141332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17762 (or 17760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1141332140 is about 33783.6075634323. The cubic root of 1141332140 is about 1045.0506725121.

Adding to 1141332140 its reverse (412331411), we get a palindrome (1553663551).

The spelling of 1141332140 in words is "one billion, one hundred forty-one million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 251 260 502 1004 1255 2510 3263 5020 6526 13052 16315 17489 32630 34978 65260 69956 87445 174890 227357 349780 454714 909428 1136785 2273570 4389739 4547140 8779478 17558956 21948695 43897390 57066607 87794780 114133214 228266428 285333035 570666070 1141332140