Search a number
-
+
114222201325340 = 225432771481332369
BaseRepresentation
bin11001111110001001101101…
…101111000100011100011100
3112222102112110121020100110112
4121332021231233010130130
5104432404032014402330
61042532542131225152
733026165425603013
oct3176115557043434
9488375417210415
10114222201325340
11334383aa977319
12109890401481b8
134b97151b6a654
14202c553b4ba7a
15d312acc8c795
hex67e26dbc471c

114222201325340 has 96 divisors (see below), whose sum is σ = 246355239049920. Its totient is φ = 44460867096576.

The previous prime is 114222201325333. The next prime is 114222201325357. The reversal of 114222201325340 is 43523102222411.

It is a super-2 number, since 2×1142222013253402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114222201325297 and 114222201325306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3528736676 + ... + 3528769044.

It is an arithmetic number, because the mean of its divisors is an integer number (2566200406770).

Almost surely, 2114222201325340 is an apocalyptic number.

114222201325340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114222201325340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123177619524960).

114222201325340 is an abundant number, since it is smaller than the sum of its proper divisors (132133037724580).

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

114222201325340 is a wasteful number, since it uses less digits than its factorization.

114222201325340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47511 (or 47509 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 114222201325340 its reverse (43523102222411), we get a palindrome (157745303547751).

The spelling of 114222201325340 in words is "one hundred fourteen trillion, two hundred twenty-two billion, two hundred one million, three hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 277 430 554 860 1108 1385 2770 5540 11911 14813 23822 29626 32369 47644 59252 59555 64738 74065 119110 129476 148130 161845 238220 296260 323690 636959 647380 1273918 1391867 2547836 2783734 3184795 4103201 5567468 6369590 6959335 8206402 8966213 12739180 13918670 16412804 17932426 20516005 27837340 35864852 41032010 44831065 82064020 89662130 176437643 179324260 352875286 385547159 479481997 705750572 771094318 882188215 958963994 1542188636 1764376430 1917927988 1927735795 2397409985 3528752860 3855471590 4794819970 7710943180 9589639940 20617725871 41235451742 82470903484 103088629355 132816513169 206177258710 265633026338 412354517420 531266052676 664082565845 1328165131690 2656330263380 5711110066267 11422220132534 22844440265068 28555550331335 57111100662670 114222201325340