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3130096128 = 29323412161
BaseRepresentation
bin1011101010010001…
…0111101000000000
322002010211100200020
42322210113220000
522402301034003
61234332453440
7140365243455
oct27244275000
98063740606
103130096128
111366948605
1273431a280
133ab6349b3
142199cd82c
15134be0d53
hexba917a00

3130096128 has 160 divisors (see below), whose sum is σ = 8917679232. Its totient is φ = 973209600.

The previous prime is 3130096127. The next prime is 3130096183. The reversal of 3130096128 is 8216900313.

It is not an unprimeable number, because it can be changed into a prime (3130096127) 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 15 ways as a sum of consecutive naturals, for example, 1447368 + ... + 1449528.

Almost surely, 23130096128 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 3130096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458839616).

3130096128 is an abundant number, since it is smaller than the sum of its proper divisors (5787583104).

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

3130096128 is a wasteful number, since it uses less digits than its factorization.

3130096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3130096128 is about 55947.2620241599. The cubic root of 3130096128 is about 1462.8031664887.

The spelling of 3130096128 in words is "three billion, one hundred thirty million, ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 64 69 82 92 96 123 128 138 164 184 192 246 256 276 328 368 384 492 512 552 656 736 768 943 984 1104 1312 1472 1536 1886 1968 2161 2208 2624 2829 2944 3772 3936 4322 4416 5248 5658 5888 6483 7544 7872 8644 8832 10496 11316 11776 12966 15088 15744 17288 17664 20992 22632 25932 30176 31488 34576 35328 45264 49703 51864 60352 62976 69152 88601 90528 99406 103728 120704 138304 149109 177202 181056 198812 207456 241408 265803 276608 298218 354404 362112 397624 414912 482816 531606 553216 596436 708808 724224 795248 829824 1063212 1106432 1192872 1417616 1448448 1590496 1659648 2037823 2126424 2385744 2835232 3180992 3319296 4075646 4252848 4771488 5670464 6113469 6361984 8151292 8505696 9542976 11340928 12226938 12723968 16302584 17011392 19085952 22681856 24453876 25447936 32605168 34022784 38171904 45363712 48907752 65210336 68045568 76343808 97815504 130420672 136091136 195631008 260841344 391262016 521682688 782524032 1043365376 1565048064 3130096128