Search a number
-
+
40343332034340 = 22325263578503609
BaseRepresentation
bin10010010110001001010011…
…11110011001011100100100
312021211210012011201110101100
421023010221332121130210
520241441121000044330
6221445245413200100
711332465243142616
oct1113045176313444
9167753164643340
1040343332034340
11119445692040a5
124636984330030
13196848a895b7a
149d68b0542db6
1549e651692060
hex24b129f99724

40343332034340 has 72 divisors (see below), whose sum is σ = 122379431199480. Its totient is φ = 10757812437504.

The previous prime is 40343332034339. The next prime is 40343332034353. The reversal of 40343332034340 is 4343023334304.

40343332034340 is a `hidden beast` number, since 4 + 0 + 343 + 33 + 203 + 43 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 852966767844 + 39490365266496 = 923562^2 + 6284136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40343332034295 and 40343332034304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492456 + ... + 8996064.

It is an arithmetic number, because the mean of its divisors is an integer number (1699714322215).

Almost surely, 240343332034340 is an apocalyptic number.

It is an amenable number.

40343332034340 is an abundant number, since it is smaller than the sum of its proper divisors (82036099165140).

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

40343332034340 is a wasteful number, since it uses less digits than its factorization.

40343332034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529981 (or 8529976 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 40343332034340 its reverse (4343023334304), we get a palindrome (44686355368644).

The spelling of 40343332034340 in words is "forty trillion, three hundred forty-three billion, three hundred thirty-two million, thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 26357 52714 79071 105428 131785 158142 237213 263570 316284 395355 474426 527140 790710 948852 1186065 1581420 2372130 4744260 8503609 17007218 25510827 34014436 42518045 51021654 76532481 85036090 102043308 127554135 153064962 170072180 255108270 306129924 382662405 510216540 765324810 1530649620 224129622413 448259244826 672388867239 896518489652 1120648112065 1344777734478 2017166601717 2241296224130 2689555468956 3361944336195 4034333203434 4482592448260 6723888672390 8068666406868 10085833008585 13447777344780 20171666017170 40343332034340