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4040543340 = 22325172415479
BaseRepresentation
bin1111000011010101…
…1100110001101100
3101102120222212110100
43300311130301230
531233334341330
61504534511100
7202062023511
oct36065346154
911376885410
104040543340
111793866019
12949205490
134c5148662
142a48a9308
15189ad3060
hexf0d5cc6c

4040543340 has 144 divisors (see below), whose sum is σ = 13033500480. Its totient is φ = 1009704960.

The previous prime is 4040543303. The next prime is 4040543359. The reversal of 4040543340 is 433450404.

4040543340 is a `hidden beast` number, since 40 + 40 + 543 + 3 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734721 + ... + 740199.

It is an arithmetic number, because the mean of its divisors is an integer number (90510420).

Almost surely, 24040543340 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 4040543340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516750240).

4040543340 is an abundant number, since it is smaller than the sum of its proper divisors (8992957140).

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

4040543340 is a wasteful number, since it uses less digits than its factorization.

4040543340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4040543340 is about 63565.2683467945. The cubic root of 4040543340 is about 1592.7462448233.

Adding to 4040543340 its reverse (433450404), we get a palindrome (4473993744).

The spelling of 4040543340 in words is "four billion, forty million, five hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 241 255 306 340 482 510 612 723 765 964 1020 1205 1446 1530 2169 2410 2892 3060 3615 4097 4338 4820 5479 7230 8194 8676 10845 10958 12291 14460 16388 16437 20485 21690 21916 24582 27395 32874 36873 40970 43380 49164 49311 54790 61455 65748 73746 81940 82185 93143 98622 109580 122910 147492 164370 184365 186286 197244 245820 246555 279429 328740 368730 372572 465715 493110 558858 737460 838287 931430 986220 1117716 1320439 1397145 1676574 1862860 2640878 2794290 3353148 3961317 4191435 5281756 5588580 6602195 7922634 8382870 11883951 13204390 15845268 16765740 19806585 22447463 23767902 26408780 39613170 44894926 47535804 59419755 67342389 79226340 89789852 112237315 118839510 134684778 202027167 224474630 237679020 269369556 336711945 404054334 448949260 673423890 808108668 1010135835 1346847780 2020271670 4040543340