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214144221424 = 24719531898711
BaseRepresentation
bin1100011101101111111…
…1011000000011110000
3202110202002010120200011
43013123333120003300
512002031410041144
6242213153504304
721320456564110
oct3073377300360
9673662116604
10214144221424
11828aa9150a1
1235604572094
1317269785973
14a5167bb040
155885094a34
hex31dbfd80f0

214144221424 has 80 divisors (see below), whose sum is σ = 508551022080. Its totient is φ = 85305242880.

The previous prime is 214144221397. The next prime is 214144221493. The reversal of 214144221424 is 424122441412.

It is a super-2 number, since 2×2141442214242 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 836572 + ... + 1062139.

It is an arithmetic number, because the mean of its divisors is an integer number (6356887776).

Almost surely, 2214144221424 is an apocalyptic number.

It is an amenable number.

214144221424 is an abundant number, since it is smaller than the sum of its proper divisors (294406800656).

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

214144221424 is a wasteful number, since it uses less digits than its factorization.

214144221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898798 (or 1898792 counting only the distinct ones).

The product of its digits is 16384, while the sum is 31.

Adding to 214144221424 its reverse (424122441412), we get a palindrome (638266662836).

The spelling of 214144221424 in words is "two hundred fourteen billion, one hundred forty-four million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 53 56 76 106 112 133 152 212 266 304 371 424 532 742 848 1007 1064 1484 2014 2128 2968 4028 5936 7049 8056 14098 16112 28196 56392 112784 1898711 3797422 7594844 13290977 15189688 26581954 30379376 36075509 53163908 72151018 100631683 106327816 144302036 201263366 212655632 252528563 288604072 402526732 505057126 577208144 704421781 805053464 1010114252 1408843562 1610106928 1912001977 2020228504 2817687124 3824003954 4040457008 5635374248 7648007908 11270748496 13384013839 15296015816 26768027678 30592031632 53536055356 107072110712 214144221424