Search a number
-
+
4306255823104 = 2823256392
BaseRepresentation
bin111110101010100000110…
…110010100000100000000
3120020200012101001110200021
4332222200312110010000
51031023202442314404
613054133331103224
7623055014361004
oct76524066240400
916220171043607
104306255823104
11141030016a404
125966b8441b14
132531029c4101
1410c5d1244704
1577037986454
hex3eaa0d94100

4306255823104 has 81 divisors (see below), whose sum is σ = 8987258711263. Its totient is φ = 2059148427776.

The previous prime is 4306255823083. The next prime is 4306255823179. The reversal of 4306255823104 is 4013285526034.

The square root of 4306255823104 is 2075152.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 763653117 + ... + 763658755.

Almost surely, 24306255823104 is an apocalyptic number.

4306255823104 is the 2075152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4306255823104

4306255823104 is an abundant number, since it is smaller than the sum of its proper divisors (4681002888159).

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

4306255823104 is an frugal number, since it uses more digits than its factorization.

4306255823104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11340 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 4306255823104 in words is "four trillion, three hundred six billion, two hundred fifty-five million, eight hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 2116 2944 4232 5639 5888 8464 11278 16928 22556 33856 45112 67712 90224 129697 135424 180448 259394 360896 518788 721792 1037576 1443584 2075152 2983031 4150304 5966062 8300608 11932124 16601216 23864248 31798321 33202432 47728496 63596642 95456992 127193284 190913984 254386568 381827968 508773136 731361383 763655936 1017546272 1462722766 2035092544 2925445532 4070185088 5850891064 8140370176 11701782128 16821311809 23403564256 33642623618 46807128512 67285247236 93614257024 134570494472 187228514048 269140988944 538281977888 1076563955776 2153127911552 4306255823104