Search a number
-
+
13743359430 = 2354322946523
BaseRepresentation
bin11001100110010101…
…10000010111000110
31022110210112222220020
430303022300113012
5211121300000210
610151423520010
7664400425203
oct146312602706
938423488806
1013743359430
11591284a399
1227b6759006
1313b03b2a58
1494538ccaa
1555683b770
hex3332b05c6

13743359430 has 64 divisors (see below), whose sum is σ = 33899247360. Its totient is φ = 3563957376.

The previous prime is 13743359423. The next prime is 13743359431. The reversal of 13743359430 is 3495334731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13743359431) 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, 272149 + ... + 318671.

It is an arithmetic number, because the mean of its divisors is an integer number (529675740).

Almost surely, 213743359430 is an apocalyptic number.

13743359430 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 13743359430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16949623680).

13743359430 is an abundant number, since it is smaller than the sum of its proper divisors (20155887930).

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

13743359430 is a wasteful number, since it uses less digits than its factorization.

13743359430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46805.

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 13743359430 in words is "thirteen billion, seven hundred forty-three million, three hundred fifty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 229 258 430 458 645 687 1145 1290 1374 2290 3435 6870 9847 19694 29541 46523 49235 59082 93046 98470 139569 147705 232615 279138 295410 465230 697845 1395690 2000489 4000978 6001467 10002445 10653767 12002934 20004890 21307534 30007335 31961301 53268835 60014670 63922602 106537670 159806505 319613010 458111981 916223962 1374335943 2290559905 2748671886 4581119810 6871679715 13743359430