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1141944664 = 237231675309
BaseRepresentation
bin100010000010000…
…1011000101011000
32221120202210120211
41010010023011120
54314314212124
6305151500504
740204240510
oct10404130530
92846683524
101141944664
11536663a23
1227a527734
13152778703
14ab93a840
156a3bde94
hex4410b158

1141944664 has 64 divisors (see below), whose sum is σ = 2569190400. Its totient is φ = 465235584.

The previous prime is 1141944659. The next prime is 1141944667. The reversal of 1141944664 is 4664491411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141944667) 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, 212442 + ... + 217750.

It is an arithmetic number, because the mean of its divisors is an integer number (40143600).

Almost surely, 21141944664 is an apocalyptic number.

1141944664 is a gapful number since it is divisible by the number (14) 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 1141944664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284595200).

1141944664 is an abundant number, since it is smaller than the sum of its proper divisors (1427245736).

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

1141944664 is a wasteful number, since it uses less digits than its factorization.

1141944664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512 (or 5508 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 1141944664 is about 33792.6717499519. The cubic root of 1141944664 is about 1045.2375898046.

The spelling of 1141944664 in words is "one billion, one hundred forty-one million, nine hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 167 184 322 334 644 668 1169 1288 1336 2338 3841 4676 5309 7682 9352 10618 15364 21236 26887 30728 37163 42472 53774 74326 107548 122107 148652 215096 244214 297304 488428 854749 886603 976856 1709498 1773206 3418996 3546412 6206221 6837992 7092824 12412442 20391869 24824884 40783738 49649768 81567476 142743083 163134952 285486166 570972332 1141944664