Search a number
-
+
344401433013 = 31125172757193
BaseRepresentation
bin1010000001011111110…
…11001101000110110101
31012220221221001112021010
411000233323031012311
521120313231324023
6422114341542433
733611405610351
oct5005773150665
91186857045233
10344401433013
111230726a3090
12568b7414a19
1326627a264b1
14129520bc461
158e5a7b4093
hex502fecd1b5

344401433013 has 32 divisors (see below), whose sum is σ = 503643958272. Its totient is φ = 207606960000.

The previous prime is 344401432979. The next prime is 344401433017. The reversal of 344401433013 is 310334104443.

It is not a de Polignac number, because 344401433013 - 210 = 344401431989 is a prime.

It is a super-2 number, since 2×3444014330132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344401433017) 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, 5993145 + ... + 6050337.

It is an arithmetic number, because the mean of its divisors is an integer number (15738873696).

Almost surely, 2344401433013 is an apocalyptic number.

344401433013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

344401433013 is a deficient number, since it is larger than the sum of its proper divisors (159242525259).

344401433013 is a wasteful number, since it uses less digits than its factorization.

344401433013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58185.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 344401433013 its reverse (310334104443), we get a palindrome (654735537456).

The spelling of 344401433013 in words is "three hundred forty-four billion, four hundred one million, four hundred thirty-three thousand, thirteen".

Divisors: 1 3 11 33 251 727 753 2181 2761 7997 8283 23991 57193 171579 182477 547431 629123 1887369 2007247 6021741 14355443 41579311 43066329 124737933 157909873 457372421 473729619 1372117263 10436407061 31309221183 114800477671 344401433013