Search a number
-
+
403243314342 = 231147210725849
BaseRepresentation
bin1011101111000110010…
…11001010110010100110
31102112211201102210212020
411313203023022302212
523101320242024332
6505125235404010
741063513421651
oct5674313126246
91375751383766
10403243314342
1114601837a480
1266199453606
132c04456415b
1415734c24898
15a75150082c
hex5de32caca6

403243314342 has 96 divisors (see below), whose sum is σ = 907357334400. Its totient is φ = 118472757120.

The previous prime is 403243314311. The next prime is 403243314343. The reversal of 403243314342 is 243413342304.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403243314343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15587034 + ... + 15612882.

It is an arithmetic number, because the mean of its divisors is an integer number (9451638900).

Almost surely, 2403243314342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403243314342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453678667200).

403243314342 is an abundant number, since it is smaller than the sum of its proper divisors (504114020058).

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

403243314342 is a wasteful number, since it uses less digits than its factorization.

403243314342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26066 (or 26019 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 403243314342 its reverse (243413342304), we get a palindrome (646656656646).

The spelling of 403243314342 in words is "four hundred three billion, two hundred forty-three million, three hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 107 141 214 282 321 517 642 1034 1177 1551 2209 2354 3102 3531 4418 5029 6627 7062 10058 13254 15087 24299 25849 30174 48598 51698 55319 72897 77547 110638 145794 155094 165957 236363 284339 331914 472726 568678 709089 853017 1214903 1418178 1706034 2429806 2599993 2765843 3644709 5199986 5531686 7289418 7799979 8297529 13363933 15599958 16595058 26727866 30424273 40091799 57100441 60848546 80183598 91272819 114200882 129994621 171301323 182545638 259989242 342602646 389983863 628104851 779967726 1256209702 1429940831 1884314553 2859881662 3768629106 4289822493 6109747187 8579644986 12219494374 18329241561 36658483122 67207219057 134414438114 201621657171 403243314342