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141122111344340 = 225722413083193811
BaseRepresentation
bin100000000101100110001101…
…010100010000111011010100
3200111200010211120200222112012
4200011212031110100323110
5121444121041001004330
61220050334123243352
741503510322243300
oct4005461524207324
9614603746628465
10141122111344340
1140a69607898535
12139b24b1679558
1360989b1423b79
1426bc4bd23ad00
15114ad9b261c95
hex80598d510ed4

141122111344340 has 144 divisors (see below), whose sum is σ = 346285689672384. Its totient is φ = 48168079948800.

The previous prime is 141122111344327. The next prime is 141122111344439. The reversal of 141122111344340 is 43443111221141.

141122111344340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141122111344297 and 141122111344306.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 728046035 + ... + 728239845.

It is an arithmetic number, because the mean of its divisors is an integer number (2404761733836).

Almost surely, 2141122111344340 is an apocalyptic number.

141122111344340 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 141122111344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173142844836192).

141122111344340 is an abundant number, since it is smaller than the sum of its proper divisors (205163578328044).

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

141122111344340 is a wasteful number, since it uses less digits than its factorization.

141122111344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197158 (or 197149 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 141122111344340 its reverse (43443111221141), we get a palindrome (184565222565481).

The spelling of 141122111344340 in words is "one hundred forty-one trillion, one hundred twenty-two billion, one hundred eleven million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 241 245 482 490 964 980 1205 1687 2410 3083 3374 4820 6166 6748 8435 11809 12332 15415 16870 21581 23618 30830 33740 43162 47236 59045 61660 86324 107905 118090 151067 193811 215810 236180 302134 387622 431620 604268 743003 755335 775244 969055 1356677 1486006 1510670 1938110 2713354 2972012 3021340 3715015 3876220 5201021 5426708 6783385 7430030 9496739 10402042 13566770 14860060 18993478 20804084 26005105 27133540 36407147 37986956 46708451 47483695 52010210 72814294 93416902 94967390 104020420 145628588 182035735 186833804 189934780 233542255 326959157 364071470 467084510 597519313 653918314 728142940 934169020 1195038626 1307836628 1634795785 2288714099 2390077252 2987596565 3269591570 4182635191 4577428198 5975193130 6539183140 8365270382 9154856396 11443570495 11950386260 16730540764 20913175955 22887140990 29278446337 41826351910 45774281980 58556892674 83652703820 117113785348 144002154433 146392231685 288004308866 292784463370 576008617732 585568926740 720010772165 1008015081031 1440021544330 2016030162062 2880043088660 4032060324124 5040075405155 7056105567217 10080150810310 14112211134434 20160301620620 28224422268868 35280527836085 70561055672170 141122111344340