Search a number
-
+
125043551514 = 232779109115249
BaseRepresentation
bin111010001110100101…
…1010010110100011010
3102221202111111120111200
41310131023102310122
54022042122122024
6133235541135030
712014460436140
oct1643513226432
9387674446450
10125043551514
1149037909012
12202989ba476
13ba3a08418b
1460a3103590
1533bcb612c9
hex1d1d2d2d1a

125043551514 has 96 divisors (see below), whose sum is σ = 316430400000. Its totient is φ = 34950569472.

The previous prime is 125043551509. The next prime is 125043551569. The reversal of 125043551514 is 415155340521.

125043551514 is a `hidden beast` number, since 1 + 2 + 50 + 4 + 3 + 551 + 51 + 4 = 666.

It is a super-3 number, since 3×1250435515143 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1027362 + ... + 1142610.

It is an arithmetic number, because the mean of its divisors is an integer number (3296150000).

Almost surely, 2125043551514 is an apocalyptic number.

125043551514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125043551514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158215200000).

125043551514 is an abundant number, since it is smaller than the sum of its proper divisors (191386848486).

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

125043551514 is a wasteful number, since it uses less digits than its factorization.

125043551514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115452 (or 115449 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 125043551514 in words is "one hundred twenty-five billion, forty-three million, five hundred fifty-one thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 109 126 158 218 237 327 474 553 654 711 763 981 1106 1422 1526 1659 1962 2289 3318 4578 4977 6867 8611 9954 13734 17222 25833 51666 60277 77499 115249 120554 154998 180831 230498 345747 361662 542493 691494 806743 1037241 1084986 1613486 2074482 2420229 4840458 7260687 9104671 12562141 14521374 18209342 25124282 27314013 37686423 54628026 63732697 75372846 81942039 87934987 113059269 127465394 163884078 175869974 191198091 226118538 263804961 382396182 527609922 573594273 791414883 992409139 1147188546 1582829766 1984818278 2977227417 5954454834 6946863973 8931682251 13893727946 17863364502 20840591919 41681183838 62521775757 125043551514