Search a number
-
+
314032133004 = 223173374567873
BaseRepresentation
bin1001001000111011100…
…01100001001110001100
31010000120102212020111220
410210131301201032030
520121114211224004
6400133034243340
731455003042162
oct4443561411614
91100512766456
10314032133004
111111a8a52537
1250a40886550
13237c7cab5a5
14112b09c1232
15827e53cdd9
hex491dc6138c

314032133004 has 48 divisors (see below), whose sum is σ = 778146471648. Its totient is φ = 98227519488.

The previous prime is 314032132991. The next prime is 314032133117. The reversal of 314032133004 is 400331230413.

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 15 ways as a sum of consecutive naturals, for example, 2215189 + ... + 2352684.

It is an arithmetic number, because the mean of its divisors is an integer number (16211384826).

Almost surely, 2314032133004 is an apocalyptic number.

314032133004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

314032133004 is an abundant number, since it is smaller than the sum of its proper divisors (464114338644).

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

314032133004 is a wasteful number, since it uses less digits than its factorization.

314032133004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568234 (or 4568232 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 314032133004 its reverse (400331230413), we get a palindrome (714363363417).

The spelling of 314032133004 in words is "three hundred fourteen billion, thirty-two million, one hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 337 674 1011 1348 2022 4044 5729 11458 17187 22916 34374 68748 4567873 9135746 13703619 18271492 27407238 54814476 77653841 155307682 232961523 310615364 465923046 931846092 1539373201 3078746402 4618119603 6157492804 9236239206 18472478412 26169344417 52338688834 78508033251 104677377668 157016066502 314032133004