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214342110040 = 23510139528509
BaseRepresentation
bin1100011110011111001…
…0010000101101011000
3202111020212111100211011
43013213302100231120
512002433040010130
6242244543143304
721325411605622
oct3074762205530
9674225440734
10214342110040
11829a1595803
123565a8a4b34
131729b780c16
14a534badc12
15589763352a
hex31e7c90b58

214342110040 has 32 divisors (see below), whose sum is σ = 482318226000. Its totient is φ = 85728225664.

The previous prime is 214342110007. The next prime is 214342110043. The reversal of 214342110040 is 40011243412.

It is a happy number.

214342110040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214342109993 and 214342110020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214342110043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141306 + ... + 669814.

Almost surely, 2214342110040 is an apocalyptic number.

214342110040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214342110040 is an abundant number, since it is smaller than the sum of its proper divisors (267976115960).

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

214342110040 is a wasteful number, since it uses less digits than its factorization.

214342110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538659 (or 538655 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 214342110040 its reverse (40011243412), we get a palindrome (254353353452).

The spelling of 214342110040 in words is "two hundred fourteen billion, three hundred forty-two million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10139 20278 40556 50695 81112 101390 202780 405560 528509 1057018 2114036 2642545 4228072 5285090 10570180 21140360 5358552751 10717105502 21434211004 26792763755 42868422008 53585527510 107171055020 214342110040