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314232044130 = 232517205380421
BaseRepresentation
bin1001001001010011011…
…00000111101001100010
31010001002101000210000200
410210221230013221202
520122021400403010
6400204535130030
731462651206354
oct4445154075142
91101071023020
10314232044130
111112a0884744
1250a97813916
132382a5342b4
14112cd37d0d4
158291d7acc0
hex4929b07a62

314232044130 has 48 divisors (see below), whose sum is σ = 865062337464. Its totient is φ = 78866081280.

The previous prime is 314232044111. The next prime is 314232044149. The reversal of 314232044130 is 31440232413.

314232044130 is a `hidden beast` number, since 3 + 1 + 42 + 3 + 204 + 413 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (314232044111) and next prime (314232044149).

It can be written as a sum of positive squares in 4 ways, for example, as 299470523121 + 14761521009 = 547239^2 + 121497^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314232044094 and 314232044103.

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 23 ways as a sum of consecutive naturals, for example, 102688681 + ... + 102691740.

Almost surely, 2314232044130 is an apocalyptic number.

314232044130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314232044130 is an abundant number, since it is smaller than the sum of its proper divisors (550830293334).

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

314232044130 is a wasteful number, since it uses less digits than its factorization.

314232044130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205380451 (or 205380448 counting only the distinct ones).

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

Adding to 314232044130 its reverse (31440232413), we get a palindrome (345672276543).

The spelling of 314232044130 in words is "three hundred fourteen billion, two hundred thirty-two million, forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 205380421 410760842 616141263 1026902105 1232282526 1848423789 2053804210 3080706315 3491467157 3696847578 6161412630 6982934314 9242118945 10474401471 17457335785 18484237890 20948802942 31423204413 34914671570 52372007355 62846408826 104744014710 157116022065 314232044130