Search a number
-
+
314342030988 = 22338681335281
BaseRepresentation
bin1001001001100000011…
…11101011111010001100
31010001101000222200122000
410210300033223322030
520122233024442423
6400223504352300
731465455114636
oct4446017537214
91101330880560
10314342030988
11111347977477
1250b08615690
132384726368b
14112ddc0da56
15829b854843
hex49303ebe8c

314342030988 has 48 divisors (see below), whose sum is σ = 815057130720. Its totient is φ = 104768294400.

The previous prime is 314342030983. The next prime is 314342031011. The reversal of 314342030988 is 889030243413.

314342030988 is a `hidden beast` number, since 3 + 1 + 434 + 203 + 0 + 9 + 8 + 8 = 666.

It is a super-2 number, since 2×3143420309882 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314342030983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769908 + ... + 1105188.

It is an arithmetic number, because the mean of its divisors is an integer number (16980356890).

Almost surely, 2314342030988 is an apocalyptic number.

It is an amenable number.

314342030988 is an abundant number, since it is smaller than the sum of its proper divisors (500715099732).

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

314342030988 is a wasteful number, since it uses less digits than its factorization.

314342030988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343975 (or 343967 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 314342030988 in words is "three hundred fourteen billion, three hundred forty-two million, thirty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 8681 17362 26043 34724 52086 78129 104172 156258 234387 312516 335281 468774 670562 937548 1005843 1341124 2011686 3017529 4023372 6035058 9052587 12070116 18105174 36210348 2910574361 5821148722 8731723083 11642297444 17463446166 26195169249 34926892332 52390338498 78585507747 104780676996 157171015494 314342030988