Search a number
-
+
320014114208 = 25601138112049
BaseRepresentation
bin1001010100000100101…
…00111101110110100000
31010121000100000101001022
410222002110331312200
520220342103123313
6403002405025012
732056151042465
oct4520224756640
91117010011038
10320014114208
11113798696558
12520300b5168
132423c408939
14116bb25d66c
1584ce7b6c08
hex4a8253dda0

320014114208 has 48 divisors (see below), whose sum is σ = 631585470600. Its totient is φ = 159611904000.

The previous prime is 320014114187. The next prime is 320014114291. The reversal of 320014114208 is 802411410023.

It can be written as a sum of positive squares in 4 ways, for example, as 314528045584 + 5486068624 = 560828^2 + 74068^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26553368 + ... + 26565416.

Almost surely, 2320014114208 is an apocalyptic number.

It is an amenable number.

320014114208 is a deficient number, since it is larger than the sum of its proper divisors (311571356392).

320014114208 is a wasteful number, since it uses less digits than its factorization.

320014114208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14041 (or 14033 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 320014114208 in words is "three hundred twenty billion, fourteen million, one hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 601 1202 1381 2404 2762 4808 5524 9616 11048 12049 19232 22096 24098 44192 48196 96392 192784 385568 829981 1659962 3319924 6639848 7241449 13279696 14482898 16639669 26559392 28965796 33279338 57931592 66558676 115863184 133117352 231726368 266234704 532469408 10000441069 20000882138 40001764276 80003528552 160007057104 320014114208