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20141278080 = 2735711136237
BaseRepresentation
bin10010110000100000…
…111000001110000000
31220222200100221100020
4102300200320032000
5312222131344310
613130333253440
71312056016230
oct226040701600
956880327306
1020141278080
1185a6254370
123aa1334280
131b8ca41931
14d90d7dcc0
157cd376170
hex4b0838380

20141278080 has 256 divisors, whose sum is σ = 80042549760. Its totient is φ = 4185169920.

The previous prime is 20141278051. The next prime is 20141278081. The reversal of 20141278080 is 8087214102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20141278081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79722 + ... + 215958.

It is an arithmetic number, because the mean of its divisors is an integer number (312666210).

Almost surely, 220141278080 is an apocalyptic number.

20141278080 is a gapful number since it is divisible by the number (20) 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 20141278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40021274880).

20141278080 is an abundant number, since it is smaller than the sum of its proper divisors (59901271680).

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

20141278080 is a wasteful number, since it uses less digits than its factorization.

20141278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136277 (or 136265 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 20141278080 in words is "twenty billion, one hundred forty-one million, two hundred seventy-eight thousand, eighty".