Search a number
-
+
141411540 = 223529671213
BaseRepresentation
bin10000110110111…
…00010011010100
3100212002110011110
420123130103110
5242200132130
622010535020
73334656354
oct1033342324
9325073143
10141411540
1172906646
123b437470
13233b298a
1414ad0b64
15c634ab0
hex86dc4d4

141411540 has 96 divisors (see below), whose sum is σ = 416062080. Its totient is φ = 35836416.

The previous prime is 141411533. The next prime is 141411541. The reversal of 141411540 is 45114141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141411541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 115974 + ... + 117186.

It is an arithmetic number, because the mean of its divisors is an integer number (4333980).

Almost surely, 2141411540 is an apocalyptic number.

141411540 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 141411540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208031040).

141411540 is an abundant number, since it is smaller than the sum of its proper divisors (274650540).

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

141411540 is a wasteful number, since it uses less digits than its factorization.

141411540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 141411540 is about 11891.6584209268. The cubic root of 141411540 is about 520.9886762373.

Adding to 141411540 its reverse (45114141), we get a palindrome (186525681).

The spelling of 141411540 in words is "one hundred forty-one million, four hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 67 87 116 134 145 174 201 268 290 335 348 402 435 580 670 804 870 1005 1213 1340 1740 1943 2010 2426 3639 3886 4020 4852 5829 6065 7278 7772 9715 11658 12130 14556 18195 19430 23316 24260 29145 35177 36390 38860 58290 70354 72780 81271 105531 116580 140708 162542 175885 211062 243813 325084 351770 406355 422124 487626 527655 703540 812710 975252 1055310 1219065 1625420 2110620 2356859 2438130 4713718 4876260 7070577 9427436 11784295 14141154 23568590 28282308 35352885 47137180 70705770 141411540