Search a number
-
+
433442224401140 = 225533472971396637
BaseRepresentation
bin110001010001101101010000…
…1110100001110101011110100
32002211200200010212110100021202
41202203122201310032223310
5423303004133421314030
64133504335313232032
7160204111246066163
oct14243324164165364
92084620125410252
10433442224401140
111161208a694a309
124074400bb62618
13157b15709a3876
147906a0384b3da
153519c60e68745
hex18a36a1d0eaf4

433442224401140 has 96 divisors (see below), whose sum is σ = 930390824651904. Its totient is φ = 169557891909120.

The previous prime is 433442224401089. The next prime is 433442224401161. The reversal of 433442224401140 is 41104422244334.

It is a junction number, because it is equal to n+sod(n) for n = 433442224401094 and 433442224401103.

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, 1092594902 + ... + 1092991538.

It is an arithmetic number, because the mean of its divisors is an integer number (9691571090124).

Almost surely, 2433442224401140 is an apocalyptic number.

It is an amenable number.

433442224401140 is an abundant number, since it is smaller than the sum of its proper divisors (496948600250764).

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

433442224401140 is a wasteful number, since it uses less digits than its factorization.

433442224401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400017 (or 400015 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 433442224401140 its reverse (41104422244334), we get a palindrome (474546646645474).

The spelling of 433442224401140 in words is "four hundred thirty-three trillion, four hundred forty-two billion, two hundred twenty-four million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 347 530 694 1060 1388 1735 2971 3470 5942 6940 11884 14855 18391 29710 36782 59420 73564 91955 157463 183910 314926 367820 396637 629852 787315 793274 1030937 1574630 1586548 1983185 2061874 3149260 3966370 4123748 5154685 7932740 10309370 20618740 21021761 42043522 54639661 84087044 105108805 109279322 137633039 210217610 218558644 273198305 275266078 420435220 546396610 550532156 688165195 1092793220 1178408527 1376330390 2356817054 2752660780 4713634108 5892042635 7294551067 11784085270 14589102134 23568170540 29178204268 36472755335 62455651931 72945510670 124911303862 145891021340 249822607724 312278259655 408907758869 624556519310 817815517738 1249113038620 1635631035476 2044538794345 4089077588690 8178155177380 21672111220057 43344222440114 86688444880228 108360556100285 216721112200570 433442224401140