Search a number
-
+
11430131002314 = 2337731462148239
BaseRepresentation
bin1010011001010100100011…
…1001011110101111001010
31111110201011111000120001220
42212111020321132233022
52444232402014033224
640150532451422510
72256541205320203
oct246251071365712
944421144016056
1011430131002314
113707544a71312
12134729b8b4a36
1364bb1a30423b
142b73153245aa
1514c4cd457279
hexa6548e5ebca

11430131002314 has 64 divisors (see below), whose sum is σ = 23801846008320. Its totient is φ = 3655961879040.

The previous prime is 11430131002291. The next prime is 11430131002337. The reversal of 11430131002314 is 41320013103411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11430131002291) and next prime (11430131002337).

It is a super-3 number, since 3×114301310023143 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236923807 + ... + 236972045.

It is an arithmetic number, because the mean of its divisors is an integer number (371903843880).

Almost surely, 211430131002314 is an apocalyptic number.

11430131002314 is an abundant number, since it is smaller than the sum of its proper divisors (12371715006006).

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

11430131002314 is a wasteful number, since it uses less digits than its factorization.

11430131002314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62975.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11430131002314 its reverse (41320013103411), we get a palindrome (52750144105725).

The spelling of 11430131002314 in words is "eleven trillion, four hundred thirty billion, one hundred thirty-one million, two thousand, three hundred fourteen".

Divisors: 1 2 3 6 37 73 74 111 146 219 222 438 2701 5402 8103 14621 16206 29242 43863 48239 87726 96478 144717 289434 540977 1067333 1081954 1622931 1784843 2134666 3201999 3245862 3521447 3569686 5354529 6403998 7042894 10564341 10709058 21128682 39491321 78982642 118473963 130293539 236947926 260587078 390880617 705302419 781761234 1410604838 2115907257 4231814514 26096189503 51487076587 52192379006 78288568509 102974153174 154461229761 156577137018 308922459522 1905021833719 3810043667438 5715065501157 11430131002314