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141214332 = 223741131313
BaseRepresentation
bin10000110101011…
…00001001111100
3100211201102122110
420122230021330
5242122324312
622002414020
73333205410
oct1032541174
9324642573
10141214332
1172791466
123b361310
1323343c9c
1414a7cd40
15c5e643c
hex86ac27c

141214332 has 96 divisors (see below), whose sum is σ = 389942784. Its totient is φ = 38937600.

The previous prime is 141214321. The next prime is 141214351. The reversal of 141214332 is 233412141.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 141214299 and 141214308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451008 + ... + 451320.

It is an arithmetic number, because the mean of its divisors is an integer number (4061904).

Almost surely, 2141214332 is an apocalyptic number.

141214332 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 141214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194971392).

141214332 is an abundant number, since it is smaller than the sum of its proper divisors (248728452).

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

141214332 is a wasteful number, since it uses less digits than its factorization.

141214332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 141214332 is about 11883.3636652254. The cubic root of 141214332 is about 520.7463788674.

Adding to 141214332 its reverse (233412141), we get a palindrome (374626473).

The spelling of 141214332 in words is "one hundred forty-one million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 131 164 246 262 287 313 393 492 524 574 626 786 861 917 939 1148 1252 1572 1722 1834 1878 2191 2751 3444 3668 3756 4382 5371 5502 6573 8764 10742 11004 12833 13146 16113 21484 25666 26292 32226 37597 38499 41003 51332 64452 75194 76998 82006 89831 112791 123009 150388 153996 164012 179662 225582 246018 269493 287021 359324 451164 492036 538986 574042 861063 1077972 1148084 1681123 1722126 3362246 3444252 5043369 6724492 10086738 11767861 20173476 23535722 35303583 47071444 70607166 141214332