Search a number
-
+
141311242000 = 2453174156213
BaseRepresentation
bin1000001110011011001…
…1100110111100010000
3111111202020000212121201
42003212303212330100
54303401134221000
6144530102200544
713131552511165
oct2034663467420
9444666025551
10141311242000
1154a2556a715
1223478a23154
1310430434c36
146ba783806c
153a20dd296a
hex20e6ce6f10

141311242000 has 80 divisors (see below), whose sum is σ = 361790116272. Its totient is φ = 53199513600.

The previous prime is 141311241977. The next prime is 141311242027. The reversal of 141311242000 is 242113141.

It can be written as a sum of positive squares in 8 ways, for example, as 8092081936 + 133219160064 = 89956^2 + 364992^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044107 + ... + 2112106.

Almost surely, 2141311242000 is an apocalyptic number.

141311242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141311242000 is an abundant number, since it is smaller than the sum of its proper divisors (220478874272).

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

141311242000 is a wasteful number, since it uses less digits than its factorization.

141311242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156253 (or 4156237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 141311242000 its reverse (242113141), we get a palindrome (141553355141).

The spelling of 141311242000 in words is "one hundred forty-one billion, three hundred eleven million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 4156213 8312426 16624852 20781065 33249704 41562130 66499408 70655621 83124260 103905325 141311242 166248520 207810650 282622484 332497040 353278105 415621300 519526625 565244968 706556210 831242600 1039053250 1130489936 1413112420 1662485200 1766390525 2078106500 2826224840 3532781050 4156213000 5652449680 7065562100 8312426000 8831952625 14131124200 17663905250 28262248400 35327810500 70655621000 141311242000