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141311540 = 22523973167
BaseRepresentation
bin10000110110000…
…11111000110100
3100211220100222202
420123003320310
5242133432130
622004444032
73334061666
oct1033037064
9324810882
10141311540
11728484a7
123b3a9618
13233792c6
1414aa6536
15c615145
hex86c3e34

141311540 has 48 divisors (see below), whose sum is σ = 312947712. Its totient is φ = 53492736.

The previous prime is 141311491. The next prime is 141311551. The reversal of 141311540 is 45113141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43037 + ... + 46203.

It is an arithmetic number, because the mean of its divisors is an integer number (6519744).

Almost surely, 2141311540 is an apocalyptic number.

141311540 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 141311540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156473856).

141311540 is an abundant number, since it is smaller than the sum of its proper divisors (171636172).

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

141311540 is a wasteful number, since it uses less digits than its factorization.

141311540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 141311540 is about 11887.4530493289. The cubic root of 141311540 is about 520.8658405453.

Adding to 141311540 its reverse (45113141), we get a palindrome (186424681).

The spelling of 141311540 in words is "one hundred forty-one million, three hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 970 1940 2231 3167 4462 6334 8924 11155 12668 15835 22310 31670 44620 63340 72841 145682 291364 307199 364205 614398 728410 1228796 1456820 1535995 3071990 6143980 7065577 14131154 28262308 35327885 70655770 141311540