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20111214440 = 235618242301
BaseRepresentation
bin10010101110101110…
…001100011101101000
31220220120210112210002
4102232232030131220
5312141432330230
613123341042132
71311242334152
oct225656143550
956816715702
1020111214440
118590290089
123a93256348
131b867469b5
14d8ad95ad2
157ca8d8545
hex4aeb8c768

20111214440 has 32 divisors (see below), whose sum is σ = 45992045160. Its totient is φ = 7912608000.

The previous prime is 20111214391. The next prime is 20111214463. The reversal of 20111214440 is 4441211102.

It can be written as a sum of positive squares in 4 ways, for example, as 10856389636 + 9254824804 = 104194^2 + 96202^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4118711 + ... + 4123590.

Almost surely, 220111214440 is an apocalyptic number.

20111214440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111214440 is an abundant number, since it is smaller than the sum of its proper divisors (25880830720).

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

20111214440 is a wasteful number, since it uses less digits than its factorization.

20111214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242373 (or 8242369 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20111214440 its reverse (4441211102), we get a palindrome (24552425542).

The spelling of 20111214440 in words is "twenty billion, one hundred eleven million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 8242301 16484602 32969204 41211505 65938408 82423010 164846020 329692040 502780361 1005560722 2011121444 2513901805 4022242888 5027803610 10055607220 20111214440