Search a number
-
+
404070340032 = 26324159168673
BaseRepresentation
bin1011110000101000111…
…10000001010111000000
31102121222100122001211100
411320110132001113000
523110014001340112
6505343301414400
741123145135402
oct5702436012700
91377870561740
10404070340032
1114640219a087
126638a40a400
132c1469ba278
14157b29c6b72
15a79de152dc
hex5e147815c0

404070340032 has 84 divisors (see below), whose sum is σ = 1158480019840. Its totient is φ = 134656929792.

The previous prime is 404070340013. The next prime is 404070340033. The reversal of 404070340032 is 230043070404.

It is a super-2 number, since 2×4040703400322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404070339978 and 404070340005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404070340033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2311248 + ... + 2479920.

Almost surely, 2404070340032 is an apocalyptic number.

It is an amenable number.

404070340032 is an abundant number, since it is smaller than the sum of its proper divisors (754409679808).

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

404070340032 is a wasteful number, since it uses less digits than its factorization.

404070340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172850 (or 172837 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 404070340032 in words is "four hundred four billion, seventy million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4159 8318 12477 16636 24954 33272 37431 49908 66544 74862 99816 133088 149724 168673 199632 266176 299448 337346 399264 506019 598896 674692 798528 1012038 1197792 1349384 1518057 2024076 2395584 2698768 3036114 4048152 5397536 6072228 8096304 10795072 12144456 16192608 24288912 32385216 48577824 97155648 701511007 1403022014 2104533021 2806044028 4209066042 5612088056 6313599063 8418132084 11224176112 12627198126 16836264168 22448352224 25254396252 33672528336 44896704448 50508792504 67345056672 101017585008 134690113344 202035170016 404070340032