Search a number
-
+
314220432123 = 321347389146893
BaseRepresentation
bin1001001001010001111…
…11110100101011111011
31010001001120011211100100
410210220333310223323
520122010412311443
6400203442210443
731462450414203
oct4445077645373
91101046154310
10314220432123
11111295273444
1250a93953a23
1323827cc9aa0
14112cb9d9403
158290d353d3
hex4928ff4afb

314220432123 has 48 divisors (see below), whose sum is σ = 500473733760. Its totient is φ = 188764445952.

The previous prime is 314220432089. The next prime is 314220432151. The reversal of 314220432123 is 321234022413.

314220432123 is a `hidden beast` number, since 3 + 1 + 4 + 220 + 432 + 1 + 2 + 3 = 666.

It is not a de Polignac number, because 314220432123 - 28 = 314220431867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314220432523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2065665 + ... + 2212557.

It is an arithmetic number, because the mean of its divisors is an integer number (10426536120).

Almost surely, 2314220432123 is an apocalyptic number.

314220432123 is a deficient number, since it is larger than the sum of its proper divisors (186253301637).

314220432123 is a wasteful number, since it uses less digits than its factorization.

314220432123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147348 (or 147345 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 314220432123 its reverse (321234022413), we get a palindrome (635454454536).

The spelling of 314220432123 in words is "three hundred fourteen billion, two hundred twenty million, four hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 13 39 47 117 141 389 423 611 1167 1833 3501 5057 5499 15171 18283 45513 54849 146893 164547 237679 440679 713037 1322037 1909609 2139111 5728827 6903971 17186481 20711913 57141377 62135739 89751623 171424131 269254869 514272393 742837901 807764607 2228513703 2685644719 6685541109 8056934157 24170802471 34913381347 104740144041 314220432123