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1141643214 = 233375310781
BaseRepresentation
bin100010000001100…
…0001011111001110
32221120012111002000
41010003001133032
54314230040324
6305141213130
740201543605
oct10403013716
92846174060
101141643214
11536478498
1227a4011a6
131526a143a
14ab89ca3c
156a35e9c9
hex440c17ce

1141643214 has 64 divisors (see below), whose sum is σ = 2654959680. Its totient is φ = 363242880.

The previous prime is 1141643213. The next prime is 1141643221. The reversal of 1141643214 is 4123461411.

1141643214 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 643 + 2 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141643213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100504 + ... + 111284.

It is an arithmetic number, because the mean of its divisors is an integer number (41483745).

Almost surely, 21141643214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141643214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327479840).

1141643214 is an abundant number, since it is smaller than the sum of its proper divisors (1513316466).

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

1141643214 is a wasteful number, since it uses less digits than its factorization.

1141643214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10876 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1141643214 is about 33788.2111689861. The cubic root of 1141643214 is about 1045.1456079393.

The spelling of 1141643214 in words is "one billion, one hundred forty-one million, six hundred forty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 53 54 74 106 111 159 222 318 333 477 666 954 999 1431 1961 1998 2862 3922 5883 10781 11766 17649 21562 32343 35298 52947 64686 97029 105894 194058 291087 398897 571393 582174 797794 1142786 1196691 1714179 2393382 3428358 3590073 5142537 7180146 10285074 10770219 15427611 21141541 21540438 30855222 42283082 63424623 126849246 190273869 380547738 570821607 1141643214