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3121097448 = 233741676763
BaseRepresentation
bin1011101000001000…
…0010101011101000
322001111220011210210
42322002002223220
522343000104243
61233411541120
7140225614320
oct27202025350
98044804723
103121097448
111361861787
127312ba7a0
133a9803b31
1421872a280
15134014933
hexba082ae8

3121097448 has 128 divisors (see below), whose sum is σ = 9272632320. Its totient is φ = 856880640.

The previous prime is 3121097417. The next prime is 3121097461. The reversal of 3121097448 is 8447901213.

It is a super-2 number, since 2×31210974482 = 19482498559824225408, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 458115 + ... + 464877.

It is an arithmetic number, because the mean of its divisors is an integer number (72442440).

Almost surely, 23121097448 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 3121097448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636316160).

3121097448 is an abundant number, since it is smaller than the sum of its proper divisors (6151534872).

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

3121097448 is a wasteful number, since it uses less digits than its factorization.

3121097448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 3121097448 is about 55866.7830468159. The cubic root of 3121097448 is about 1461.4000219220.

The spelling of 3121097448 in words is "three billion, one hundred twenty-one million, ninety-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 67 82 84 123 134 164 168 201 246 268 287 328 402 469 492 536 574 804 861 938 984 1148 1407 1608 1722 1876 2296 2747 2814 3444 3752 5494 5628 6763 6888 8241 10988 11256 13526 16482 19229 20289 21976 27052 32964 38458 40578 47341 54104 57687 65928 76916 81156 94682 115374 142023 153832 162312 189364 230748 277283 284046 378728 453121 461496 554566 568092 831849 906242 1109132 1136184 1359363 1663698 1812484 1940981 2218264 2718726 3171847 3327396 3624968 3881962 5437452 5822943 6343694 6654792 7763924 9515541 10874904 11645886 12687388 15527848 18577961 19031082 23291772 25374776 37155922 38062164 46583544 55733883 74311844 76124328 111467766 130045727 148623688 222935532 260091454 390137181 445871064 520182908 780274362 1040365816 1560548724 3121097448