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214400240430 = 2357349972469
BaseRepresentation
bin1100011110101101000…
…0000000101100101110
3202111101220212200201120
43013223100000230232
512003042430143210
6242254421121410
721330015655155
oct3075320005456
9674356780646
10214400240430
1182a21389a52
1235676259266
13172aa824bbc
14a53c7c259c
15589c7b7270
hex31eb400b2e

214400240430 has 32 divisors (see below), whose sum is σ = 514631124000. Its totient is φ = 57165558912.

The previous prime is 214400240419. The next prime is 214400240443. The reversal of 214400240430 is 34042004412.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214400240430.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 265765 + ... + 706704.

It is an arithmetic number, because the mean of its divisors is an integer number (16082222625).

Almost surely, 2214400240430 is an apocalyptic number.

214400240430 is an abundant number, since it is smaller than the sum of its proper divisors (300230883570).

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

214400240430 is a wasteful number, since it uses less digits than its factorization.

214400240430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979828.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214400240430 its reverse (34042004412), we get a palindrome (248442244842).

The spelling of 214400240430 in words is "two hundred fourteen billion, four hundred million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 7349 14698 22047 36745 44094 73490 110235 220470 972469 1944938 2917407 4862345 5834814 9724690 14587035 29174070 7146674681 14293349362 21440024043 35733373405 42880048086 71466746810 107200120215 214400240430