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125311140672 = 2632328376617
BaseRepresentation
bin111010010110100100…
…0000100001101000000
3102222110011000111211020
41310231020010031000
54023114123000142
6133322300345440
712024220056354
oct1645510041500
9388404014736
10125311140672
1149164965783
1220352545280
13ba80644863
1460ca87b464
1533d63bbcec
hex1d2d204340

125311140672 has 56 divisors (see below), whose sum is σ = 345967726656. Its totient is φ = 39954275328.

The previous prime is 125311140631. The next prime is 125311140677. The reversal of 125311140672 is 276041113521.

It is a super-3 number, since 3×1253111406723 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125311140677) 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 7 ways as a sum of consecutive naturals, for example, 14183893 + ... + 14192724.

Almost surely, 2125311140672 is an apocalyptic number.

125311140672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125311140672 is an abundant number, since it is smaller than the sum of its proper divisors (220656585984).

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

125311140672 is a wasteful number, since it uses less digits than its factorization.

125311140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28376655 (or 28376645 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 125311140672 in words is "one hundred twenty-five billion, three hundred eleven million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 28376617 56753234 85129851 113506468 170259702 227012936 340519404 454025872 652662191 681038808 908051744 1305324382 1362077616 1816103488 1957986573 2610648764 2724155232 3915973146 5221297528 5448310464 7831946292 10442595056 15663892584 20885190112 31327785168 41770380224 62655570336 125311140672