Search a number
-
+
234400040444031 = 37118066391257959
BaseRepresentation
bin110101010010111110000011…
…001001010110000001111111
31010201221102110211200122202120
4311102332003021112001333
5221210402240323202111
62150305520401454023
7100241562341465610
oct6522760311260177
91121842424618676
10234400040444031
1168761554041590
122235836b341313
13a0a3aa1325867
1441c50459ddc07
151c1743a05a406
hexd52f8325607f

234400040444031 has 32 divisors (see below), whose sum is σ = 389652808089600. Its totient is φ = 121766007024480.

The previous prime is 234400040443999. The next prime is 234400040444047. The reversal of 234400040444031 is 130444040004432.

It is not a de Polignac number, because 234400040444031 - 25 = 234400040443999 is a prime.

It is a super-2 number, since 2×2344000404440312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 234400040443983 and 234400040444001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234400040434031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185704630 + ... + 186962588.

It is an arithmetic number, because the mean of its divisors is an integer number (12176650252800).

Almost surely, 2234400040444031 is an apocalyptic number.

234400040444031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

234400040444031 is a deficient number, since it is larger than the sum of its proper divisors (155252767645569).

234400040444031 is a wasteful number, since it uses less digits than its factorization.

234400040444031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064619.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 234400040444031 its reverse (130444040004432), we get a palindrome (364844080448463).

The spelling of 234400040444031 in words is "two hundred thirty-four trillion, four hundred billion, forty million, four hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 11 21 33 77 231 806639 1257959 2419917 3773877 5646473 8805713 8873029 13837549 16939419 26417139 26619087 41512647 62111203 96862843 186333609 290588529 1014718789801 3044156369403 7103031528607 11161906687811 21309094585821 33485720063433 78133346814677 234400040444031