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141213345 = 35721314779
BaseRepresentation
bin10000110101010…
…11111010100001
3100211201101021220
420122223322201
5242122311340
622002405253
73333202500
oct1032537241
9324641256
10141213345
1172790749
123b360829
13233436c0
1414a7c837
15c5e5ed0
hex86abea1

141213345 has 48 divisors (see below), whose sum is σ = 283066560. Its totient is φ = 59584896.

The previous prime is 141213341. The next prime is 141213361. The reversal of 141213345 is 543312141.

It is a happy number.

141213345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141213345 - 22 = 141213341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141213341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2166 + ... + 16944.

It is an arithmetic number, because the mean of its divisors is an integer number (5897220).

Almost surely, 2141213345 is an apocalyptic number.

141213345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141213345 is an abundant number, since it is smaller than the sum of its proper divisors (141853215).

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

141213345 is a wasteful number, since it uses less digits than its factorization.

141213345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14814 (or 14807 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 141213345 is about 11883.3221365071. The cubic root of 141213345 is about 520.7451656339.

Adding to 141213345 its reverse (543312141), we get a palindrome (684525486).

The spelling of 141213345 in words is "one hundred forty-one million, two hundred thirteen thousand, three hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 14779 44337 73895 103453 192127 221685 310359 517265 576381 724171 960635 1344889 1551795 2172513 2881905 3620855 4034667 6724445 9414223 10862565 20173335 28242669 47071115 141213345