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141844248 = 233271321649
BaseRepresentation
bin10000111010001…
…01111100011000
3100212220102201200
420131011330120
5242303003443
622024114200
73341441040
oct1035057430
9325812650
10141844248
1173081757
123b605960
1323504910
1414ba4720
15c6bcdd3
hex8745f18

141844248 has 96 divisors (see below), whose sum is σ = 472836000. Its totient is φ = 37407744.

The previous prime is 141844247. The next prime is 141844259. The reversal of 141844248 is 842448141.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141844247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4273 + ... + 17376.

It is an arithmetic number, because the mean of its divisors is an integer number (4925375).

Almost surely, 2141844248 is an apocalyptic number.

141844248 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 141844248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236418000).

141844248 is an abundant number, since it is smaller than the sum of its proper divisors (330991752).

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

141844248 is a wasteful number, since it uses less digits than its factorization.

141844248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21681 (or 21674 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 141844248 is about 11909.8382860558. The cubic root of 141844248 is about 521.5195297059.

The spelling of 141844248 in words is "one hundred forty-one million, eight hundred forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 21649 43298 64947 86596 129894 151543 173192 194841 259788 281437 303086 389682 454629 519576 562874 606172 779364 844311 909258 1125748 1212344 1363887 1558728 1688622 1818516 1970059 2251496 2532933 2727774 3377244 3637032 3940118 5065866 5455548 5910177 6754488 7880236 10131732 10911096 11820354 15760472 17730531 20263464 23640708 35461062 47281416 70922124 141844248