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141345828 = 223213595119
BaseRepresentation
bin10000110110011…
…00010000100100
3100211222010000200
420123030100210
5242141031303
622005310500
73334263651
oct1033142044
9324863020
10141345828
1172871238
123b405430
132338bab0
1414ab4c28
15c6203a3
hex86cc424

141345828 has 72 divisors (see below), whose sum is σ = 391372800. Its totient is φ = 42745536.

The previous prime is 141345761. The next prime is 141345829. The reversal of 141345828 is 828543141.

141345828 is a `hidden beast` number, since 1 + 41 + 34 + 582 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 141345792 and 141345801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141345829) 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, 25053 + ... + 30171.

Almost surely, 2141345828 is an apocalyptic number.

141345828 is a gapful number since it is divisible by the number (18) 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 141345828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

141345828 is an abundant number, since it is smaller than the sum of its proper divisors (250026972).

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

141345828 is a wasteful number, since it uses less digits than its factorization.

141345828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5196 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 141345828 is about 11888.8951547232. The cubic root of 141345828 is about 520.9079649739.

Adding to 141345828 its reverse (828543141), we get a palindrome (969888969).

The spelling of 141345828 in words is "one hundred forty-one million, three hundred forty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2124 2301 3068 4602 5119 6903 9204 10238 13806 15357 20476 27612 30714 46071 61428 66547 92142 133094 184284 199641 266188 302021 399282 598923 604042 798564 906063 1197846 1208084 1812126 2395692 2718189 3624252 3926273 5436378 7852546 10872756 11778819 15705092 23557638 35336457 47115276 70672914 141345828