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20112014144 = 26973239693
BaseRepresentation
bin10010101110110001…
…001111101101000000
31220220122022011202202
4102232301033231000
5312142133423034
613123410132332
71311252204515
oct225661175500
956818264682
1020112014144
1185907869a2
123a935810a8
131b869669b1
14d8b12330c
157ca9e547e
hex4aec4fb40

20112014144 has 28 divisors (see below), whose sum is σ = 40321231524. Its totient is φ = 9952333824.

The previous prime is 20112014123. The next prime is 20112014147. The reversal of 20112014144 is 44141021102.

It can be written as a sum of positive squares in 2 ways, for example, as 16078240000 + 4033774144 = 126800^2 + 63512^2 .

It is a super-2 number, since 2×201120141442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112014147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1613639 + ... + 1626054.

It is an arithmetic number, because the mean of its divisors is an integer number (1440043983).

Almost surely, 220112014144 is an apocalyptic number.

It is an amenable number.

20112014144 is an abundant number, since it is smaller than the sum of its proper divisors (20209217380).

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

20112014144 is an equidigital number, since it uses as much as digits as its factorization.

20112014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239802 (or 3239792 counting only the distinct ones).

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

Adding to 20112014144 its reverse (44141021102), we get a palindrome (64253035246).

The spelling of 20112014144 in words is "twenty billion, one hundred twelve million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 3239693 6479386 12958772 25917544 51835088 103670176 207340352 314250221 628500442 1257000884 2514001768 5028003536 10056007072 20112014144