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14430130411100 = 2252477121431153
BaseRepresentation
bin1101000111111100011011…
…0011000001011001011100
31220002111200121011210112012
43101333012303001121130
53342410401341123400
650405035502330352
73016354040462525
oct321770663013134
956074617153465
1014430130411100
114663869473888
1217507a55899b8
138089a8987cc1
1437c5ca10584c
151a0562ad0d35
hexd1fc6cc165c

14430130411100 has 72 divisors (see below), whose sum is σ = 31984190255808. Its totient is φ = 5648436121600.

The previous prime is 14430130411093. The next prime is 14430130411117. The reversal of 14430130411100 is 111403103441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33253124 + ... + 33684276.

It is an arithmetic number, because the mean of its divisors is an integer number (444224864664).

Almost surely, 214430130411100 is an apocalyptic number.

14430130411100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430130411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992095127904).

14430130411100 is an abundant number, since it is smaller than the sum of its proper divisors (17554059844708).

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

14430130411100 is a wasteful number, since it uses less digits than its factorization.

14430130411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438335 (or 438328 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 14430130411100 its reverse (111403103441), we get a palindrome (14541533514541).

The spelling of 14430130411100 in words is "fourteen trillion, four hundred thirty billion, one hundred thirty million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 7121 14242 28484 35605 71210 142420 178025 334687 356050 431153 669374 712100 862306 1338748 1673435 1724612 2155765 3346870 4311530 6693740 8367175 8623060 10778825 16734350 20264191 21557650 33468700 40528382 43115300 81056764 101320955 202641910 405283820 506604775 1013209550 2026419100 3070240513 6140481026 12280962052 15351202565 30702405130 61404810260 76756012825 144301304111 153512025650 288602608222 307024051300 577205216444 721506520555 1443013041110 2886026082220 3607532602775 7215065205550 14430130411100