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141412244041040 = 2457446356581193
BaseRepresentation
bin100000001001110100011010…
…100100101010110101010000
3200112200212201102120001210112
4200021310122210222311100
5122013344233433303130
61220431515454020452
741533461143415560
oct4011643244526520
9615625642501715
10141412244041040
1141070661173815
1213a3a7824a7728
1360ba16abb636b
1426cc563abcda0
1511536cc525495
hex809d1a92ad50

141412244041040 has 80 divisors (see below), whose sum is σ = 375836733623808. Its totient is φ = 48473333511168.

The previous prime is 141412244041039. The next prime is 141412244041067. The reversal of 141412244041040 is 40140442214141.

141412244041040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 141412244040988 and 141412244041006.

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 15 ways as a sum of consecutive naturals, for example, 25791317 + ... + 30789876.

Almost surely, 2141412244041040 is an apocalyptic number.

141412244041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141412244041040 is an abundant number, since it is smaller than the sum of its proper divisors (234424489582768).

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

141412244041040 is a wasteful number, since it uses less digits than its factorization.

141412244041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56585676 (or 56585670 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 141412244041040 its reverse (40140442214141), we get a palindrome (181552686255181).

The spelling of 141412244041040 in words is "one hundred forty-one trillion, four hundred twelve billion, two hundred forty-four million, forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4463 8926 17852 22315 31241 35704 44630 62482 71408 89260 124964 156205 178520 249928 312410 357040 499856 624820 1249640 2499280 56581193 113162386 226324772 282905965 396068351 452649544 565811930 792136702 905299088 1131623860 1584273404 1980341755 2263247720 3168546808 3960683510 4526495440 6337093616 7921367020 15842734040 31685468080 252521864359 505043728718 1010087457436 1262609321795 1767653050513 2020174914872 2525218643590 3535306101026 4040349829744 5050437287180 7070612202052 8838265252565 10100874574360 14141224404104 17676530505130 20201749148720 28282448808208 35353061010260 70706122020520 141412244041040