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214004441440 = 2551337527759
BaseRepresentation
bin1100011101001110101…
…0001010000101100000
3202110101100010000120201
43013103222022011200
512001240114111230
6242151241514544
721314141511226
oct3072352120540
9673340100521
10214004441440
1182838a23349
12355857a2a54
131724682480a
14a501dd2b16
155877b835ca
hex31d3a8a160

214004441440 has 24 divisors (see below), whose sum is σ = 505585493280. Its totient is φ = 85601776512.

The previous prime is 214004441437. The next prime is 214004441467. The reversal of 214004441440 is 44144400412.

It is a junction number, because it is equal to n+sod(n) for n = 214004441399 and 214004441408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668763720 + ... + 668764039.

It is an arithmetic number, because the mean of its divisors is an integer number (21066062220).

Almost surely, 2214004441440 is an apocalyptic number.

214004441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214004441440 is an abundant number, since it is smaller than the sum of its proper divisors (291581051840).

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

214004441440 is a wasteful number, since it uses less digits than its factorization.

214004441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337527774 (or 1337527766 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 214004441440 its reverse (44144400412), we get a palindrome (258148841852).

The spelling of 214004441440 in words is "two hundred fourteen billion, four million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1337527759 2675055518 5350111036 6687638795 10700222072 13375277590 21400444144 26750555180 42800888288 53501110360 107002220720 214004441440