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14434210100 = 2252853169217
BaseRepresentation
bin11010111000101100…
…01001000100110100
31101020221111211212002
431130112021010310
5214030124210400
610344143114432
71020456522122
oct153426110464
941227454762
1014434210100
11613780a762
122969ba2a18
13149056a82b
149ad024912
15597302ed5
hex35c589134

14434210100 has 36 divisors (see below), whose sum is σ = 31359141324. Its totient is φ = 5766881280.

The previous prime is 14434210079. The next prime is 14434210121. The reversal of 14434210100 is 101243441.

It is an interprime number because it is at equal distance from previous prime (14434210079) and next prime (14434210121).

It can be written as a sum of positive squares in 6 ways, for example, as 234151204 + 14200058896 = 15302^2 + 119164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 692 + ... + 169908.

It is an arithmetic number, because the mean of its divisors is an integer number (871087259).

Almost surely, 214434210100 is an apocalyptic number.

14434210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434210100 is an abundant number, since it is smaller than the sum of its proper divisors (16924931224).

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

14434210100 is a wasteful number, since it uses less digits than its factorization.

14434210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170084 (or 170077 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14434210100 its reverse (101243441), we get a palindrome (14535453541).

The spelling of 14434210100 in words is "fourteen billion, four hundred thirty-four million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 853 1706 3412 4265 8530 17060 21325 42650 85300 169217 338434 676868 846085 1692170 3384340 4230425 8460850 16921700 144342101 288684202 577368404 721710505 1443421010 2886842020 3608552525 7217105050 14434210100