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214424410140 = 2235544120249
BaseRepresentation
bin1100011110110010110…
…0001101100000011100
3202111110121100122100000
43013230230031200130
512003120122111030
6242301043134300
721330431261613
oct3075454154034
9674417318300
10214424410140
1182a33a98016
1235682374390
13172b28381c5
14a541ab487a
15589e98d860
hex31ecb0d81c

214424410140 has 72 divisors (see below), whose sum is σ = 674510382000. Its totient is φ = 57179841408.

The previous prime is 214424410129. The next prime is 214424410141. The reversal of 214424410140 is 41014424412.

It is a happy number.

214424410140 is a `hidden beast` number, since 214 + 4 + 2 + 441 + 0 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214424410141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22055265 + ... + 22064984.

It is an arithmetic number, because the mean of its divisors is an integer number (9368199750).

Almost surely, 2214424410140 is an apocalyptic number.

214424410140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214424410140 is an abundant number, since it is smaller than the sum of its proper divisors (460085971860).

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

214424410140 is a wasteful number, since it uses less digits than its factorization.

214424410140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44120273 (or 44120259 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 214424410140 its reverse (41014424412), we get a palindrome (255438834552).

The spelling of 214424410140 in words is "two hundred fourteen billion, four hundred twenty-four million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 44120249 88240498 132360747 176480996 220601245 264721494 397082241 441202490 529442988 661803735 794164482 882404980 1191246723 1323607470 1588328964 1985411205 2382493446 2647214940 3573740169 3970822410 4764986892 5956233615 7147480338 7941644820 10721220507 11912467230 14294960676 17868700845 21442441014 23824934460 35737401690 42884882028 53606102535 71474803380 107212205070 214424410140