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214003421424 = 243213131872657
BaseRepresentation
bin1100011101001110011…
…0010001000011110000
3202110101021012012101100
43013103212101003300
512001234333441144
6242151204004400
721314130032352
oct3072346210360
9673337165340
10214003421424
1182838396a61
1235585390700
1317246558460
14a501c090d2
155877a31269
hex31d39910f0

214003421424 has 120 divisors (see below), whose sum is σ = 649906809552. Its totient is φ = 65344481280.

The previous prime is 214003421417. The next prime is 214003421447. The reversal of 214003421424 is 424124300412.

214003421424 is a `hidden beast` number, since 21 + 400 + 3 + 4 + 214 + 24 = 666.

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 23 ways as a sum of consecutive naturals, for example, 191097 + ... + 681560.

Almost surely, 2214003421424 is an apocalyptic number.

214003421424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214003421424 is an abundant number, since it is smaller than the sum of its proper divisors (435903388128).

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

214003421424 is a wasteful number, since it uses less digits than its factorization.

214003421424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872815 (or 872806 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214003421424 its reverse (424124300412), we get a palindrome (638127721836).

The spelling of 214003421424 in words is "two hundred fourteen billion, three million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 234 262 312 393 468 524 624 786 936 1048 1179 1572 1703 1872 2096 2358 3144 3406 4716 5109 6288 6812 9432 10218 13624 15327 18864 20436 27248 30654 40872 61308 81744 122616 245232 872657 1745314 2617971 3490628 5235942 6981256 7853913 10471884 11344541 13962512 15707826 20943768 22689082 31415652 34033623 41887536 45378164 62831304 68067246 90756328 102100869 114318067 125662608 136134492 181512656 204201738 228636134 272268984 342954201 408403476 457272268 544537968 685908402 816806952 914544536 1028862603 1371816804 1486134871 1633613904 1829089072 2057725206 2743633608 2972269742 4115450412 4458404613 5487267216 5944539484 8230900824 8916809226 11889078968 13375213839 16461801648 17833618452 23778157936 26750427678 35667236904 53500855356 71334473808 107001710712 214003421424