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214053440044344 = 23383107927995641
BaseRepresentation
bin110000101010111000110011…
…010000011011110100111000
31001001220022100021102112122120
4300222320303100123310320
5211024022421122404334
62035130443130121240
763041564534606625
oct6052706320336470
91031808307375576
10214053440044344
11622276105a823a
1220010ba7b80220
1392591ca889434
143ac035561534c
1519b304b849949
hexc2ae3341bd38

214053440044344 has 64 divisors (see below), whose sum is σ = 541586554871040. Its totient is φ = 70490770371840.

The previous prime is 214053440044309. The next prime is 214053440044511. The reversal of 214053440044344 is 443440044350412.

It is a junction number, because it is equal to n+sod(n) for n = 214053440044296 and 214053440044305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214492764 + ... + 215488404.

It is an arithmetic number, because the mean of its divisors is an integer number (8462289919860).

Almost surely, 2214053440044344 is an apocalyptic number.

214053440044344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214053440044344 is an abundant number, since it is smaller than the sum of its proper divisors (327533114826696).

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

214053440044344 is a wasteful number, since it uses less digits than its factorization.

214053440044344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103660 (or 1103656 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 42.

Adding to 214053440044344 its reverse (443440044350412), we get a palindrome (657493484394756).

The spelling of 214053440044344 in words is "two hundred fourteen trillion, fifty-three billion, four hundred forty million, forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 107927 215854 323781 431708 647562 863416 995641 1295124 1991282 2590248 2986923 3982564 5973846 7965128 8957941 11947692 17915882 23895384 26873823 35831764 53747646 71663528 82638203 107495292 165276406 214990584 247914609 330552812 495829218 661105624 991658436 1983316872 107456546207 214913092414 322369638621 429826184828 644739277242 859652369656 1289478554484 2578957108968 8918893335181 17837786670362 26756680005543 35675573340724 53513360011086 71351146681448 107026720022172 214053440044344