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14143421233152 = 211324317844877
BaseRepresentation
bin1100110111010000010110…
…0110010011100000000000
31212002002122100021111002200
43031310011212103200000
53323211211313430102
650025221545513200
72656554106620411
oct315640546234000
955062570244080
1014143421233152
114563211627942
12170510b1a2800
137b7946564553
1436c78c1d3808
15197d8216d51c
hexcdd05993800

14143421233152 has 144 divisors (see below), whose sum is σ = 41798771534520. Its totient is φ = 4604834562048.

The previous prime is 14143421233133. The next prime is 14143421233163. The reversal of 14143421233152 is 25133212434141.

14143421233152 is a `hidden beast` number, since 1 + 4 + 1 + 434 + 212 + 3 + 3 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 8129863 + ... + 9715014.

Almost surely, 214143421233152 is an apocalyptic number.

14143421233152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14143421233152 is an abundant number, since it is smaller than the sum of its proper divisors (27655350301368).

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

14143421233152 is a wasteful number, since it uses less digits than its factorization.

14143421233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17844948 (or 17844925 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 14143421233152 its reverse (25133212434141), we get a palindrome (39276633667293).

The spelling of 14143421233152 in words is "fourteen trillion, one hundred forty-three billion, four hundred twenty-one million, two hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2048 2064 2304 2752 3072 3096 4128 4608 5504 6144 6192 8256 9216 11008 12384 16512 18432 22016 24768 33024 44032 49536 66048 88064 99072 132096 198144 264192 396288 792576 17844877 35689754 53534631 71379508 107069262 142759016 160603893 214138524 285518032 321207786 428277048 571036064 642415572 767329711 856554096 1142072128 1284831144 1534659422 1713108192 2284144256 2301989133 2569662288 3069318844 3426216384 4568288512 4603978266 5139324576 6138637688 6852432768 6905967399 9136577024 9207956532 10278649152 12277275376 13704865536 13811934798 18273154048 18415913064 20557298304 24554550752 27409731072 27623869596 36546308096 36831826128 41114596608 49109101504 54819462144 55247739192 73663652256 82229193216 98218203008 109638924288 110495478384 147327304512 164458386432 196436406016 220990956768 294654609024 328916772864 392872812032 441981913536 589309218048 785745624064 883963827072 1178618436096 1571491248128 1767927654144 2357236872192 3535855308288 4714473744384 7071710616576 14143421233152