Search a number
-
+
314032434001 = 111323193494713
BaseRepresentation
bin1001001000111011100…
…10101010101101010001
31010000120110102112101221
410210131302222231101
520121114300342001
6400133044525041
731455005434546
oct4443562525521
91100513375357
10314032434001
111111a91386a0
1250a409b0781
13237c80855b0
14112b0a5cbcd
15827e59c1a1
hex491dcaab51

314032434001 has 32 divisors (see below), whose sum is σ = 386969248512. Its totient is φ = 250759618560.

The previous prime is 314032433987. The next prime is 314032434007. The reversal of 314032434001 is 100434230413.

It is not a de Polignac number, because 314032434001 - 27 = 314032433873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314032434007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 387421 + ... + 882133.

It is an arithmetic number, because the mean of its divisors is an integer number (12092789016).

Almost surely, 2314032434001 is an apocalyptic number.

It is an amenable number.

314032434001 is a deficient number, since it is larger than the sum of its proper divisors (72936814511).

314032434001 is a wasteful number, since it uses less digits than its factorization.

314032434001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494953.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 314032434001 its reverse (100434230413), we get a palindrome (414466664414).

The spelling of 314032434001 in words is "three hundred fourteen billion, thirty-two million, four hundred thirty-four thousand, one".

Divisors: 1 11 13 23 143 193 253 299 2123 2509 3289 4439 27599 48829 57707 494713 634777 5441843 6431269 11378399 70743959 95479609 125162389 147919187 1050275699 1241234917 1627111057 2196031007 13653584087 24156341077 28548403091 314032434001