Search a number
-
+
141411888 = 24322933863
BaseRepresentation
bin10000110110111…
…00011000110000
3100212002110122100
420123130120300
5242200140023
622010540400
73334660362
oct1033343060
9325073570
10141411888
1172906932
123b437700
13233b2b97
1414ad0d32
15c634c43
hex86dc630

141411888 has 60 divisors (see below), whose sum is σ = 409415760. Its totient is φ = 45510528.

The previous prime is 141411887. The next prime is 141411901. The reversal of 141411888 is 888114141.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (141411887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12756 + ... + 21107.

It is an arithmetic number, because the mean of its divisors is an integer number (6823596).

Almost surely, 2141411888 is an apocalyptic number.

141411888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141411888 is an abundant number, since it is smaller than the sum of its proper divisors (268003872).

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

141411888 is a wasteful number, since it uses less digits than its factorization.

141411888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33906 (or 33897 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The square root of 141411888 is about 11891.6730530233. The cubic root of 141411888 is about 520.9891036044.

The spelling of 141411888 in words is "one hundred forty-one million, four hundred eleven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 33863 67726 101589 135452 203178 270904 304767 406356 541808 609534 812712 982027 1219068 1625424 1964054 2438136 2946081 3928108 4876272 5892162 7856216 8838243 11784324 15712432 17676486 23568648 35352972 47137296 70705944 141411888