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129842944 = 287211941
BaseRepresentation
bin1111011110100…
…11111100000000
3100001022201000221
413233103330000
5231214433234
620514552424
73134434600
oct757237400
9301281027
10129842944
1167324a20
1237598714
1320b9215a
141335cc00
15b5ebeb4
hex7bd3f00

129842944 has 108 divisors (see below), whose sum is σ = 329251608. Its totient is φ = 50534400.

The previous prime is 129842917. The next prime is 129842971. The reversal of 129842944 is 449248921.

It is an interprime number because it is at equal distance from previous prime (129842917) and next prime (129842971).

It is a self number, because there is not a number n which added to its sum of digits gives 129842944.

It is a congruent number.

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, 137514 + ... + 138454.

It is an arithmetic number, because the mean of its divisors is an integer number (3048626).

Almost surely, 2129842944 is an apocalyptic number.

129842944 is a gapful number since it is divisible by the number (14) 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 129842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164625804).

129842944 is an abundant number, since it is smaller than the sum of its proper divisors (199408664).

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

129842944 is an equidigital number, since it uses as much as digits as its factorization.

129842944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 961 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 129842944 is about 11394.8648083248. The cubic root of 129842944 is about 506.3756161584.

The spelling of 129842944 in words is "one hundred twenty-nine million, eight hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 539 616 704 784 896 941 1078 1232 1408 1568 1792 1882 2156 2464 2816 3136 3764 4312 4928 6272 6587 7528 8624 9856 10351 12544 13174 15056 17248 19712 20702 26348 30112 34496 41404 46109 52696 60224 68992 72457 82808 92218 105392 120448 137984 144914 165616 184436 210784 240896 289828 331232 368872 421568 507199 579656 662464 737744 843136 1014398 1159312 1324928 1475488 1686272 2028796 2318624 2649856 2950976 4057592 4637248 5901952 8115184 9274496 11803904 16230368 18548992 32460736 64921472 129842944