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141414324 = 223293831061
BaseRepresentation
bin10000110110111…
…00111110110100
3100212002120222120
420123130332310
5242200224244
622010555540
73335000442
oct1033347664
9325076876
10141414324
1172908747
123b438bb0
13233b401c
1414ad1b92
15c635819
hex86dcfb4

141414324 has 48 divisors (see below), whose sum is σ = 342558720. Its totient is φ = 45351040.

The previous prime is 141414323. The next prime is 141414341. The reversal of 141414324 is 423414141.

It is a super-2 number, since 2×1414143242 = 39996022064753952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 141414294 and 141414303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141414323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132754 + ... + 133814.

It is an arithmetic number, because the mean of its divisors is an integer number (7136640).

Almost surely, 2141414324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171279360).

141414324 is an abundant number, since it is smaller than the sum of its proper divisors (201144396).

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

141414324 is a wasteful number, since it uses less digits than its factorization.

141414324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 141414324 is about 11891.7754771943. The cubic root of 141414324 is about 520.9920951543.

Adding to 141414324 its reverse (423414141), we get a palindrome (564828465).

The spelling of 141414324 in words is "one hundred forty-one million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 383 766 1061 1149 1532 2122 2298 3183 4244 4596 6366 11107 12732 22214 30769 33321 44428 61538 66642 92307 123076 133284 184614 369228 406363 812726 1219089 1625452 2438178 4876356 11784527 23569054 35353581 47138108 70707162 141414324