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141431424 = 273311092
BaseRepresentation
bin10000110111000…
…01001010000000
3100212010110102220
420123201022000
5242201301144
622011211040
73335101341
oct1033411200
9325113386
10141431424
117291a582
123b446a80
13233bba44
1414ad80c8
15c63a919
hex86e1280

141431424 has 96 divisors (see below), whose sum is σ = 391386240. Its totient is φ = 45204480.

The previous prime is 141431387. The next prime is 141431431. The reversal of 141431424 is 424134141.

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

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 = 141431394 and 141431403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297482 + ... + 1297590.

It is an arithmetic number, because the mean of its divisors is an integer number (4076940).

Almost surely, 2141431424 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 141431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195693120).

141431424 is an abundant number, since it is smaller than the sum of its proper divisors (249954816).

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

141431424 is an equidigital number, since it uses as much as digits as its factorization.

141431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 145 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 141431424 is about 11892.4944397717. The cubic root of 141431424 is about 521.0130939836.

Adding to 141431424 its reverse (424134141), we get a palindrome (565565565).

The spelling of 141431424 in words is "one hundred forty-one million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 109 124 128 186 192 218 248 327 372 384 436 496 654 744 872 992 1308 1488 1744 1984 2616 2976 3379 3488 3968 5232 5952 6758 6976 10137 10464 11881 11904 13516 13952 20274 20928 23762 27032 35643 40548 41856 47524 54064 71286 81096 95048 108128 142572 162192 190096 216256 285144 324384 368311 380192 432512 570288 648768 736622 760384 1104933 1140576 1297536 1473244 1520768 2209866 2281152 2946488 4419732 4562304 5892976 8839464 11785952 17678928 23571904 35357856 47143808 70715712 141431424