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214201424440 = 235103245921143
BaseRepresentation
bin1100011101111101100…
…1100101101000111000
3202110220001202210110101
43013133121211220320
512002141031040230
6242222555525144
721322053031543
oct3073731455070
9673801683411
10214201424440
118292a135613
123561b7597b4
13172785937c3
14a52022b85a
15588a0e3aca
hex31df665a38

214201424440 has 64 divisors (see below), whose sum is σ = 486853286400. Its totient is φ = 84810202752.

The previous prime is 214201424389. The next prime is 214201424461. The reversal of 214201424440 is 44424102412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214201424399 and 214201424408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10120509 + ... + 10141651.

It is an arithmetic number, because the mean of its divisors is an integer number (7607082600).

Almost surely, 2214201424440 is an apocalyptic number.

214201424440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214201424440 is an abundant number, since it is smaller than the sum of its proper divisors (272651861960).

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

214201424440 is a wasteful number, since it uses less digits than its factorization.

214201424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23716 (or 23712 counting only the distinct ones).

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

Adding to 214201424440 its reverse (44424102412), we get a palindrome (258625526852).

The spelling of 214201424440 in words is "two hundred fourteen billion, two hundred one million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 2459 4120 4918 9836 12295 19672 21143 24590 42286 49180 84572 98360 105715 169144 211430 253277 422860 506554 845720 1013108 1266385 2026216 2177729 2532770 4355458 5065540 8710916 10131080 10888645 17421832 21777290 43554580 51990637 87109160 103981274 207962548 259953185 415925096 519906370 1039812740 2079625480 5355035611 10710071222 21420142444 26775178055 42840284888 53550356110 107100712220 214201424440