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141409092 = 223118312907
BaseRepresentation
bin10000110110110…
…11101101000100
3100212002022210210
420123123231010
5242200042332
622010515420
73334646256
oct1033335504
9325068723
10141409092
1172904820
123b435b70
13233b1826
1414acdcd6
15c633ecc
hex86dbb44

141409092 has 48 divisors (see below), whose sum is σ = 364315392. Its totient is φ = 42331680.

The previous prime is 141409063. The next prime is 141409127. The reversal of 141409092 is 290904141.

141409092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4503 + ... + 17409.

It is an arithmetic number, because the mean of its divisors is an integer number (7589904).

Almost surely, 2141409092 is an apocalyptic number.

141409092 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 141409092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182157696).

141409092 is an abundant number, since it is smaller than the sum of its proper divisors (222906300).

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

141409092 is a wasteful number, since it uses less digits than its factorization.

141409092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13008 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 141409092 is about 11891.5554911879. Note that the first 3 decimals coincide. The cubic root of 141409092 is about 520.9856699111.

It can be divided in two parts, 14140 and 9092, that added together give a palindrome (23232).

The spelling of 141409092 in words is "one hundred forty-one million, four hundred nine thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1826 2739 3652 5478 10956 12907 25814 38721 51628 77442 141977 154884 283954 425931 567908 851862 1071281 1703724 2142562 3213843 4285124 6427686 11784091 12855372 23568182 35352273 47136364 70704546 141409092