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14471102080 = 27529779693
BaseRepresentation
bin11010111101000101…
…10111111010000000
31101100111221011010201
431132202313322000
5214114100231310
610351541534544
71021415223661
oct153642677200
941314834121
1014471102080
1161566181a6
12297a414454
1314980b67c6
149b3ca9368
1559a68de3a
hex35e8b7e80

14471102080 has 64 divisors (see below), whose sum is σ = 35787954600. Its totient is φ = 5588832256.

The previous prime is 14471102077. The next prime is 14471102081. The reversal of 14471102080 is 8020117441.

It can be written as a sum of positive squares in 4 ways, for example, as 14417285184 + 53816896 = 120072^2 + 7336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14471102081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371287 + ... + 408406.

Almost surely, 214471102080 is an apocalyptic number.

14471102080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14471102080 is an abundant number, since it is smaller than the sum of its proper divisors (21316852520).

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

14471102080 is an equidigital number, since it uses as much as digits as its factorization.

14471102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779741 (or 779729 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 14471102080 in words is "fourteen billion, four hundred seventy-one million, one hundred two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 779693 1559386 3118772 3898465 6237544 7796930 12475088 15593860 22611097 24950176 31187720 45222194 49900352 62375440 90444388 99800704 113055485 124750880 180888776 226110970 249501760 361777552 452221940 499003520 723555104 904443880 1447110208 1808887760 2894220416 3617775520 7235551040 14471102080