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214443124040 = 23553101152417
BaseRepresentation
bin1100011110110111001…
…1100110010101001000
3202111111220120101222102
43013231303212111020
512003134414432130
6242302552212532
721331046323235
oct3075563462510
9674456511872
10214443124040
1182a4360a052
123568869a148
13172b668b112
14a54438678c
1558a1438645
hex31edce6548

214443124040 has 32 divisors (see below), whose sum is σ = 491600751480. Its totient is φ = 84158810112.

The previous prime is 214443124031. The next prime is 214443124043. The reversal of 214443124040 is 40421344412.

It can be written as a sum of positive squares in 4 ways, for example, as 148658055844 + 65785068196 = 385562^2 + 256486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214443123994 and 214443124012.

It is not an unprimeable number, because it can be changed into a prime (214443124043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50574089 + ... + 50578328.

Almost surely, 2214443124040 is an apocalyptic number.

214443124040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214443124040 is an abundant number, since it is smaller than the sum of its proper divisors (277157627440).

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

214443124040 is a wasteful number, since it uses less digits than its factorization.

214443124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101152481 (or 101152477 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 214443124040 its reverse (40421344412), we get a palindrome (254864468452).

The spelling of 214443124040 in words is "two hundred fourteen billion, four hundred forty-three million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 101152417 202304834 404609668 505762085 809219336 1011524170 2023048340 4046096680 5361078101 10722156202 21444312404 26805390505 42888624808 53610781010 107221562020 214443124040