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129919944 = 233711229307
BaseRepresentation
bin1111011111001…
…10101111001000
3100001110121122210
413233212233020
5231224414234
620520345120
73135205230
oct757465710
9301417583
10129919944
1167377860
12376151a0
1320bbb20b
141337ccc0
15b614be9
hex7be6bc8

129919944 has 128 divisors (see below), whose sum is σ = 408038400. Its totient is φ = 33488640.

The previous prime is 129919943. The next prime is 129919961. The reversal of 129919944 is 449919921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 129919893 and 129919902.

It is not an unprimeable number, because it can be changed into a prime (129919943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423039 + ... + 423345.

It is an arithmetic number, because the mean of its divisors is an integer number (3187800).

Almost surely, 2129919944 is an apocalyptic number.

129919944 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 129919944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204019200).

129919944 is an abundant number, since it is smaller than the sum of its proper divisors (278118456).

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

129919944 is a wasteful number, since it uses less digits than its factorization.

129919944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 129919944 is about 11398.2430225013. The cubic root of 129919944 is about 506.4756940326.

The spelling of 129919944 in words is "one hundred twenty-nine million, nine hundred nineteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 229 231 264 307 308 458 462 614 616 687 916 921 924 1228 1374 1603 1832 1842 1848 2149 2456 2519 2748 3206 3377 3684 4298 4809 5038 5496 6412 6447 6754 7368 7557 8596 9618 10076 10131 12824 12894 13508 15114 17192 17633 19236 20152 20262 23639 25788 27016 30228 35266 38472 40524 47278 51576 52899 60456 70303 70532 70917 81048 94556 105798 140606 141064 141834 189112 210909 211596 281212 283668 421818 423192 492121 562424 567336 773333 843636 984242 1476363 1546666 1687272 1968484 2319999 2952726 3093332 3936968 4639998 5413331 5905452 6186664 9279996 10826662 11810904 16239993 18559992 21653324 32479986 43306648 64959972 129919944