Search a number
-
+
314144332332 = 2231913513101963
BaseRepresentation
bin1001001001001000111…
…01100001101000101100
31010000212020222120001120
410210210131201220230
520121331422113312
6400152123140540
731460534524005
oct4444435415054
91100766876046
10314144332332
11111256316556
1250a72374750
1323815303a1c
14112c186a1ac
15828930228c
hex4924761a2c

314144332332 has 48 divisors (see below), whose sum is σ = 771647237760. Its totient is φ = 99195159168.

The previous prime is 314144332301. The next prime is 314144332343. The reversal of 314144332332 is 233233441413.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 314144332293 and 314144332302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3029983 + ... + 3131945.

It is an arithmetic number, because the mean of its divisors is an integer number (16075984120).

Almost surely, 2314144332332 is an apocalyptic number.

It is an amenable number.

314144332332 is an abundant number, since it is smaller than the sum of its proper divisors (457502905428).

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

314144332332 is a wasteful number, since it uses less digits than its factorization.

314144332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115502 (or 115500 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 314144332332 its reverse (233233441413), we get a palindrome (547377773745).

The spelling of 314144332332 in words is "three hundred fourteen billion, one hundred forty-four million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 13513 27026 40539 54052 81078 101963 162156 203926 256747 305889 407852 513494 611778 770241 1026988 1223556 1540482 1937297 3080964 3874594 5811891 7749188 11623782 23247564 1377826019 2755652038 4133478057 5511304076 8266956114 16533912228 26178694361 52357388722 78536083083 104714777444 157072166166 314144332332