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141413112 = 233237109487
BaseRepresentation
bin10000110110111…
…00101011111000
3100212002112022200
420123130223320
5242200204422
622010550200
73334664061
oct1033345370
9325075280
10141413112
1172907845
123b438360
13233b35c9
1414ad1568
15c6352ac
hex86dcaf8

141413112 has 96 divisors (see below), whose sum is σ = 397768800. Its totient is φ = 45349632.

The previous prime is 141413093. The next prime is 141413117. The reversal of 141413112 is 211314141.

141413112 is a `hidden beast` number, since 141 + 413 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141413117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290133 + ... + 290619.

It is an arithmetic number, because the mean of its divisors is an integer number (4143425).

Almost surely, 2141413112 is an apocalyptic number.

141413112 is a gapful number since it is divisible by the number (12) 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 141413112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198884400).

141413112 is an abundant number, since it is smaller than the sum of its proper divisors (256355688).

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

141413112 is a wasteful number, since it uses less digits than its factorization.

141413112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 141413112 is about 11891.7245174953. The cubic root of 141413112 is about 520.9906067520.

Adding to 141413112 its reverse (211314141), we get a palindrome (352727253).

The spelling of 141413112 in words is "one hundred forty-one million, four hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 109 111 148 218 222 296 327 333 436 444 487 654 666 872 888 974 981 1308 1332 1461 1948 1962 2616 2664 2922 3896 3924 4033 4383 5844 7848 8066 8766 11688 12099 16132 17532 18019 24198 32264 35064 36038 36297 48396 53083 54057 72076 72594 96792 106166 108114 144152 145188 159249 162171 212332 216228 290376 318498 324342 424664 432456 477747 636996 648684 955494 1273992 1297368 1910988 1964071 3821976 3928142 5892213 7856284 11784426 15712568 17676639 23568852 35353278 47137704 70706556 141413112