Search a number
-
+
4158320326416 = 24321699332
BaseRepresentation
bin111100100000101111001…
…101001011011100010000
3112201112100111022120221100
4330200233031023130100
51021112220000421131
612502150032024400
7606300024402564
oct74405715133420
915645314276840
104158320326416
111363596465143
12571ab1092100
13242188084959
14105399b3d6a4
157327a25b7e6
hex3c82f34b710

4158320326416 has 45 divisors (see below), whose sum is σ = 11637589952469. Its totient is φ = 1386098618688.

The previous prime is 4158320326411. The next prime is 4158320326417. The reversal of 4158320326416 is 6146230238514.

The square root of 4158320326416 is 2039196.

It is a perfect power (a square), and thus also a powerful number.

4158320326416 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 3 + 203 + 26 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2418833667600 + 1739486658816 = 1555260^2 + 1318896^2 .

It is a super-3 number, since 3×41583203264163 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4158320326411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24385386 + ... + 24555318.

Almost surely, 24158320326416 is an apocalyptic number.

4158320326416 is the 2039196-th square number.

It is an amenable number.

4158320326416 is an abundant number, since it is smaller than the sum of its proper divisors (7479269626053).

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

4158320326416 is an frugal number, since it uses more digits than its factorization.

4158320326416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339880 (or 169938 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4158320326416 in words is "four trillion, one hundred fifty-eight billion, three hundred twenty million, three hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 169933 339866 509799 679732 1019598 1359464 1529397 2039196 2718928 3058794 4078392 6117588 8156784 12235176 24470352 28877224489 57754448978 86631673467 115508897956 173263346934 231017795912 259895020401 346526693868 462035591824 519790040802 693053387736 1039580081604 1386106775472 2079160163208 4158320326416