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114341043222 = 23272537513257
BaseRepresentation
bin110101001111101000…
…0011101110000010110
3101221010121211211011200
41222133100131300112
53333132301340342
6124305541213330
711155322555100
oct1523720356026
9357117754150
10114341043222
11445455a113a
121a1b0701246
13aa22989a33
145769952570
152e9328794c
hex1a9f41dc16

114341043222 has 144 divisors (see below), whose sum is σ = 294104820672. Its totient is φ = 31999968000.

The previous prime is 114341043199. The next prime is 114341043227. The reversal of 114341043222 is 222340143411.

114341043222 is a `hidden beast` number, since 1 + 1 + 434 + 1 + 0 + 4 + 3 + 222 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114341043227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35104618 + ... + 35107874.

It is an arithmetic number, because the mean of its divisors is an integer number (2042394588).

Almost surely, 2114341043222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114341043222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147052410336).

114341043222 is an abundant number, since it is smaller than the sum of its proper divisors (179763777450).

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

114341043222 is a wasteful number, since it uses less digits than its factorization.

114341043222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114341043222 its reverse (222340143411), we get a palindrome (336681186633).

The spelling of 114341043222 in words is "one hundred fourteen billion, three hundred forty-one million, forty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 371 441 477 742 751 882 954 1113 1502 2226 2253 2597 3257 3339 4506 5194 5257 6514 6678 6759 7791 9771 10514 13518 15582 15771 19542 22799 23373 29313 31542 36799 39803 45598 46746 47313 58626 68397 73598 79606 94626 110397 119409 136794 159593 172621 205191 220794 238818 278621 319186 331191 345242 358227 410382 478779 517863 557242 662382 716454 835863 957558 1035726 1208347 1436337 1553589 1671726 1950347 2416694 2446007 2507589 2872674 3107178 3625041 3900694 4892014 5015178 5851041 7250082 7338021 8458429 10875123 11702082 14676042 16916858 17122049 17553123 21750246 22014063 25375287 34244098 35106246 44028126 50750574 51366147 76125861 102732294 119854343 129638371 152251722 154098441 239708686 259276742 308196882 359563029 388915113 719126058 777830226 907468597 1078689087 1166745339 1814937194 2157378174 2333490678 2722405791 5444811582 6352280179 8167217373 12704560358 16334434746 19056840537 38113681074 57170521611 114341043222