Search a number
-
+
45302300320354 = 27117271022339581
BaseRepresentation
bin10100100110011110000111…
…00001001010001001100010
312221101212011012102112202221
422103033003201022021202
521414213102340222404
6240203331153501254
712353661143115550
oct1223170341121142
9187355135375687
1045302300320354
1113486663558630
1250b7a8087182a
131c37cb0c1551c
14b289006b6bd0
1553863ba33954
hex2933c384a262

45302300320354 has 64 divisors (see below), whose sum is σ = 84848162660352. Its totient is φ = 17623799265600.

The previous prime is 45302300320283. The next prime is 45302300320363.

45302300320354 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×453023003203542 (a number of 28 digits) contains 22 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 31 ways as a sum of consecutive naturals, for example, 1144526844 + ... + 1144566424.

It is an arithmetic number, because the mean of its divisors is an integer number (1325752541568).

Almost surely, 245302300320354 is an apocalyptic number.

45302300320354 is a deficient number, since it is larger than the sum of its proper divisors (39545862339998).

45302300320354 is a wasteful number, since it uses less digits than its factorization.

45302300320354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50551.

The product of its (nonzero) digits is 129600, while the sum is 34.

It can be divided in two parts, 45302300 and 320354, that added together give a palindrome (45622654).

The spelling of 45302300320354 in words is "forty-five trillion, three hundred two billion, three hundred million, three hundred twenty thousand, three hundred fifty-four".

Divisors: 1 2 7 11 14 22 77 154 727 1454 5089 7997 10178 10223 15994 20446 39581 55979 71561 79162 111958 112453 143122 224906 277067 435391 554134 787171 870782 1574342 3047737 6095474 7432121 14864242 28775387 52024847 57550774 81753331 104049694 163506662 201427709 316529257 402855418 404636563 572273317 633058514 809273126 1144546634 2215704799 2832455941 4431409598 4451002193 5664911882 8902004386 31157015351 62314030702 294170781301 588341562602 2059195469107 3235878594311 4118390938214 6471757188622 22651150160177 45302300320354