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28141021440 = 283257249853
BaseRepresentation
bin11010001101010101…
…011110100100000000
32200122012022000012100
4122031111132210000
5430113100141230
620532223430400
72014234510200
oct321525364400
980565260170
1028141021440
1110a30966a14
125554455400
1328661c4c9c
14150d5bc400
15aea820660
hex68d55e900

28141021440 has 324 divisors, whose sum is σ = 113263601724. Its totient is φ = 6432104448.

The previous prime is 28141021409. The next prime is 28141021453. The reversal of 28141021440 is 4412014182.

It can be written as a sum of positive squares in 2 ways, for example, as 7169347584 + 20971673856 = 84672^2 + 144816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 539554 + ... + 589406.

Almost surely, 228141021440 is an apocalyptic number.

28141021440 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 28141021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56631800862).

28141021440 is an abundant number, since it is smaller than the sum of its proper divisors (85122580284).

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

28141021440 is a wasteful number, since it uses less digits than its factorization.

28141021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49894 (or 49870 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 28141021440 in words is "twenty-eight billion, one hundred forty-one million, twenty-one thousand, four hundred forty".