Search a number
-
+
313431212440 = 235103179425003
BaseRepresentation
bin1001000111110011111…
…01001100000110011000
31002222000120010022110201
410203321331030012120
520113401342244230
6355553250351544
731434055230163
oct4437175140630
91088016108421
10313431212440
11110a1a825a75
12508b358b5b4
132373064c9a8
1411254c78ada
1582468dc5ca
hex48f9f4c198

313431212440 has 64 divisors (see below), whose sum is σ = 716046739200. Its totient is φ = 123461380992.

The previous prime is 313431212377. The next prime is 313431212441. The reversal of 313431212440 is 44212134313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313431212399 and 313431212408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313431212441) 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 15 ways as a sum of consecutive naturals, for example, 524979 + ... + 949981.

It is an arithmetic number, because the mean of its divisors is an integer number (11188230300).

Almost surely, 2313431212440 is an apocalyptic number.

It is an amenable number.

313431212440 is an abundant number, since it is smaller than the sum of its proper divisors (402615526760).

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

313431212440 is a wasteful number, since it uses less digits than its factorization.

313431212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425296 (or 425292 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313431212440 its reverse (44212134313), we get a palindrome (357643346753).

The spelling of 313431212440 in words is "three hundred thirteen billion, four hundred thirty-one million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 103 179 206 358 412 515 716 824 895 1030 1432 1790 2060 3580 4120 7160 18437 36874 73748 92185 147496 184370 368740 425003 737480 850006 1700012 2125015 3400024 4250030 8500060 17000120 43775309 76075537 87550618 152151074 175101236 218876545 304302148 350202472 380377685 437753090 608604296 760755370 875506180 1521510740 1751012360 3043021480 7835780311 15671560622 31343121244 39178901555 62686242488 78357803110 156715606220 313431212440