Search a number
-
+
3041355500016 = 243313253628319
BaseRepresentation
bin101100010000011110111…
…010100000100111110000
3101202202021021221100101220
4230100132322200213300
5344312144002000031
610245102431225040
7432505424131011
oct54203672404760
911682237840356
103041355500016
11a72916989a69
12411527978180
13190a4c680082
14a72b9511008
15541a5230596
hex2c41eea09f0

3041355500016 has 80 divisors (see below), whose sum is σ = 8112787415040. Its totient is φ = 980779265280.

The previous prime is 3041355500009. The next prime is 3041355500017. The reversal of 3041355500016 is 6100055531403.

It is a self number, because there is not a number n which added to its sum of digits gives 3041355500016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041355500017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4526305 + ... + 5154623.

It is an arithmetic number, because the mean of its divisors is an integer number (101409842688).

Almost surely, 23041355500016 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 3041355500016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056393707520).

3041355500016 is an abundant number, since it is smaller than the sum of its proper divisors (5071431915024).

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

3041355500016 is a wasteful number, since it uses less digits than its factorization.

3041355500016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631614 (or 631608 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 3041355500016 in words is "three trillion, forty-one billion, three hundred fifty-five million, five hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 3253 6506 9759 13012 19518 26024 39036 52048 78072 100843 156144 201686 302529 403372 605058 628319 806744 1210116 1256638 1613488 1884957 2420232 2513276 3769914 4840464 5026552 7539828 10053104 15079656 19477889 30159312 38955778 58433667 77911556 116867334 155823112 233734668 311646224 467469336 934938672 2043921707 4087843414 6131765121 8175686828 12263530242 16351373656 24527060484 32702747312 49054120968 63361572917 98108241936 126723145834 190084718751 253446291668 380169437502 506892583336 760338875004 1013785166672 1520677750008 3041355500016