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141122311112440 = 23572611180347199
BaseRepresentation
bin100000000101100110011001…
…001110010100011011111000
3200111200011100111121020211201
4200011212121032110123320
5121444121443121044230
61220050410021103544
741503515266243500
oct4005463116243370
9614604314536751
10141122311112440
1140a696aa632239
12139b2548557bb4
136098a13929748
1426bc4db99ca00
15114adada725ca
hex8059993946f8

141122311112440 has 96 divisors (see below), whose sum is σ = 375421230432000. Its totient is φ = 47591599023360.

The previous prime is 141122311112413. The next prime is 141122311112473. The reversal of 141122311112440 is 44211113221141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 141122311112399 and 141122311112408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590054040 + ... + 590293159.

It is an arithmetic number, because the mean of its divisors is an integer number (3910637817000).

Almost surely, 2141122311112440 is an apocalyptic number.

141122311112440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141122311112440 is an abundant number, since it is smaller than the sum of its proper divisors (234298919319560).

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

141122311112440 is a wasteful number, since it uses less digits than its factorization.

141122311112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180347285 (or 1180347274 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 141122311112440 its reverse (44211113221141), we get a palindrome (185333424333581).

The spelling of 141122311112440 in words is "one hundred forty-one trillion, one hundred twenty-two billion, three hundred eleven million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 61 70 98 122 140 196 244 245 280 305 392 427 488 490 610 854 980 1220 1708 1960 2135 2440 2989 3416 4270 5978 8540 11956 14945 17080 23912 29890 59780 119560 1180347199 2360694398 4721388796 5901735995 8262430393 9442777592 11803471990 16524860786 23606943980 33049721572 41312151965 47213887960 57837012751 66099443144 72001179139 82624303930 115674025502 144002358278 165248607860 231348051004 288004716556 289185063755 330497215720 360005895695 462696102008 504008253973 576009433112 578370127510 720011791390 1008016507946 1156740255020 1440023582780 2016033015892 2313480510040 2520041269865 2880047165560 3528057777811 4032066031784 5040082539730 7056115555622 10080165079460 14112231111244 17640288889055 20160330158920 28224462222488 35280577778110 70561155556220 141122311112440