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14438800500 = 2235335926813
BaseRepresentation
bin11010111001001111…
…01001110001110100
31101021021011001200220
431130213221301310
5214032313104000
610344425334340
71020543531165
oct153447516164
941237131626
1014438800500
11613a365583
12296b6373b0
1314914b7047
149ad89b76c
1559790d1a0
hex35c9e9c74

14438800500 has 96 divisors (see below), whose sum is σ = 42164478720. Its totient is φ = 3839478400.

The previous prime is 14438800483. The next prime is 14438800531. The reversal of 14438800500 is 500883441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525094 + ... + 551906.

It is an arithmetic number, because the mean of its divisors is an integer number (439213320).

Almost surely, 214438800500 is an apocalyptic number.

14438800500 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 14438800500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21082239360).

14438800500 is an abundant number, since it is smaller than the sum of its proper divisors (27725678220).

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

14438800500 is a wasteful number, since it uses less digits than its factorization.

14438800500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27194 (or 27182 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 14438800500 in words is "fourteen billion, four hundred thirty-eight million, eight hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 359 375 500 718 750 1077 1436 1500 1795 2154 3590 4308 5385 7180 8975 10770 17950 21540 26813 26925 35900 44875 53626 53850 80439 89750 107252 107700 134065 134625 160878 179500 268130 269250 321756 402195 536260 538500 670325 804390 1340650 1608780 2010975 2681300 3351625 4021950 6703250 8043900 9625867 10054875 13406500 19251734 20109750 28877601 38503468 40219500 48129335 57755202 96258670 115510404 144388005 192517340 240646675 288776010 481293350 577552020 721940025 962586700 1203233375 1443880050 2406466750 2887760100 3609700125 4812933500 7219400250 14438800500