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141424224 = 25317193449
BaseRepresentation
bin10000110110111…
…11011001100000
3100212010002120020
420123133121200
5242201033344
622011113440
73335041344
oct1033373140
9325102506
10141424224
1172915127
123b442880
13233b8696
1414ad5624
15c638719
hex86df660

141424224 has 96 divisors (see below), whose sum is σ = 395992800. Its totient is φ = 44040192.

The previous prime is 141424219. The next prime is 141424237. The reversal of 141424224 is 422424141.

141424224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1414242242 = 40001622268004352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 141424194 and 141424203.

It is a congruent number.

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, 314752 + ... + 315200.

It is an arithmetic number, because the mean of its divisors is an integer number (4124925).

Almost surely, 2141424224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197996400).

141424224 is an abundant number, since it is smaller than the sum of its proper divisors (254568576).

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

141424224 is a wasteful number, since it uses less digits than its factorization.

141424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 141424224 is about 11892.1917239843. The cubic root of 141424224 is about 521.0042525776.

Adding to 141424224 its reverse (422424141), we get a palindrome (563848365).

The spelling of 141424224 in words is "one hundred forty-one million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 193 204 272 386 408 449 544 579 772 816 898 1158 1347 1544 1632 1796 2316 2694 3088 3281 3592 4632 5388 6176 6562 7184 7633 9264 9843 10776 13124 14368 15266 18528 19686 21552 22899 26248 30532 39372 43104 45798 52496 61064 78744 86657 91596 104992 122128 157488 173314 183192 244256 259971 314976 346628 366384 519942 693256 732768 1039884 1386512 1473169 2079768 2773024 2946338 4159536 4419507 5892676 8319072 8839014 11785352 17678028 23570704 35356056 47141408 70712112 141424224