Search a number
-
+
13403468430 = 23251116781071
BaseRepresentation
bin11000111101110100…
…01011001010001110
31021121002222202002200
430132322023022032
5204422241442210
610054002502330
7653102413302
oct143672131216
937532882080
1013403468430
1157589aa240
1227209649a6
131357b58c11
14912193d02
15536a9d0c0
hex31ee8b28e

13403468430 has 96 divisors (see below), whose sum is σ = 38245229568. Its totient is φ = 3229828800.

The previous prime is 13403468387. The next prime is 13403468437. The reversal of 13403468430 is 3486430431.

It is a happy number.

13403468430 is a `hidden beast` number, since 134 + 0 + 34 + 68 + 430 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13403468437) 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, 124795 + ... + 205865.

It is an arithmetic number, because the mean of its divisors is an integer number (398387808).

Almost surely, 213403468430 is an apocalyptic number.

13403468430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13403468430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19122614784).

13403468430 is an abundant number, since it is smaller than the sum of its proper divisors (24841761138).

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

13403468430 is a wasteful number, since it uses less digits than its factorization.

13403468430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81262 (or 81259 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 13403468430 its reverse (3486430431), we get a palindrome (16889898861).

The spelling of 13403468430 in words is "thirteen billion, four hundred three million, four hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 167 198 330 334 495 501 835 990 1002 1503 1670 1837 2505 3006 3674 5010 5511 7515 9185 11022 15030 16533 18370 27555 33066 55110 81071 82665 162142 165330 243213 405355 486426 729639 810710 891781 1216065 1459278 1783562 2432130 2675343 3648195 4458905 5350686 7296390 8026029 8917810 13376715 13538857 16052058 26753430 27077714 40130145 40616571 67694285 80260290 81233142 121849713 135388570 148927427 203082855 243699426 297854854 406165710 446782281 609248565 744637135 893564562 1218497130 1340346843 1489274270 2233911405 2680693686 4467822810 6701734215 13403468430