Search a number
-
+
314412323304 = 23319236289511
BaseRepresentation
bin1001001001101000110…
…11110101000111101000
31010001112221020220120010
410210310123311013220
520122404023321204
6400234455131520
731500300436542
oct4446433650750
91101487226503
10314412323304
111113836180a2
1250b28073ba0
13238589a5271
14113092aa692
1582a2adbd89
hex49346f51e8

314412323304 has 48 divisors (see below), whose sum is σ = 829578244320. Its totient is φ = 99288099360.

The previous prime is 314412323287. The next prime is 314412323321. The reversal of 314412323304 is 403323214413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314412323287) and next prime (314412323321).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18136092 + ... + 18153419.

It is an arithmetic number, because the mean of its divisors is an integer number (17282880090).

Almost surely, 2314412323304 is an apocalyptic number.

It is an amenable number.

314412323304 is an abundant number, since it is smaller than the sum of its proper divisors (515165921016).

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

314412323304 is a wasteful number, since it uses less digits than its factorization.

314412323304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36289558 (or 36289535 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 314412323304 its reverse (403323214413), we get a palindrome (717735537717).

The spelling of 314412323304 in words is "three hundred fourteen billion, four hundred twelve million, three hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2888 4332 8664 36289511 72579022 108868533 145158044 217737066 290316088 435474132 689500709 870948264 1379001418 2068502127 2758002836 4137004254 5516005672 8274008508 13100513471 16548017016 26201026942 39301540413 52402053884 78603080826 104804107768 157206161652 314412323304