Search a number
-
+
143343134204220 = 223257359918211877
BaseRepresentation
bin100000100101111010101100…
…100110000110000100111100
3200210112110200111001110012200
4200211322230212012010330
5122242013214324013340
61224510532103231500
742123125331123126
oct4045725446060474
9623473614043180
10143343134204220
1141745533346285
12140b0a39748590
1361ca279564262
142757bb7c72216
151188a3d129330
hex825eac98613c

143343134204220 has 144 divisors (see below), whose sum is σ = 441499631227200. Its totient is φ = 37638265586688.

The previous prime is 143343134204201. The next prime is 143343134204251. The reversal of 143343134204220 is 22402431343341.

143343134204220 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 4 + 3 + 1 + 3 + 420 + 4 + 220 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235079 + ... + 16976798.

It is an arithmetic number, because the mean of its divisors is an integer number (3065969661300).

Almost surely, 2143343134204220 is an apocalyptic number.

143343134204220 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 143343134204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220749815613600).

143343134204220 is an abundant number, since it is smaller than the sum of its proper divisors (298156497022980).

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

143343134204220 is a wasteful number, since it uses less digits than its factorization.

143343134204220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18212564 (or 18212559 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 143343134204220 its reverse (22402431343341), we get a palindrome (165745565547561).

The spelling of 143343134204220 in words is "one hundred forty-three trillion, three hundred forty-three billion, one hundred thirty-four million, two hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 599 657 730 876 1095 1198 1314 1460 1797 2190 2396 2628 2995 3285 3594 4380 5391 5990 6570 7188 8985 10782 11980 13140 17970 21564 26955 35940 43727 53910 87454 107820 131181 174908 218635 262362 393543 437270 524724 655905 787086 874540 1311810 1574172 1967715 2623620 3935430 7870860 18211877 36423754 54635631 72847508 91059385 109271262 163906893 182118770 218542524 273178155 327813786 364237540 546356310 655627572 819534465 1092712620 1329467021 1639068930 2658934042 3278137860 3988401063 5317868084 6647335105 7976802126 10908914323 11965203189 13294670210 15953604252 19942005315 21817828646 23930406378 26589340420 32726742969 39884010630 43635657292 47860812756 54544571615 59826015945 65453485938 79768021260 98180228907 109089143230 119652031890 130906971876 163633714845 196360457814 218178286460 239304063780 327267429690 392720915628 490901144535 654534859380 796350745579 981802289070 1592701491158 1963604578140 2389052236737 3185402982316 3981753727895 4778104473474 7167156710211 7963507455790 9556208946948 11945261183685 14334313420422 15927014911580 23890522367370 28668626840844 35835783551055 47781044734740 71671567102110 143343134204220