Search a number
-
+
130855330944 = 2732138737669
BaseRepresentation
bin111100111011110010…
…1011110010010000000
3110111202112101120002200
41321313211132102000
54120442431042234
6140040351513200
712311500650402
oct1716745362200
9414675346080
10130855330944
115054a471a08
122143b228800
13c45515b410
146494d18b72
15360ceb9d99
hex1e7795e480

130855330944 has 96 divisors (see below), whose sum is σ = 405515264700. Its totient is φ = 40263174144.

The previous prime is 130855330897. The next prime is 130855330961. The reversal of 130855330944 is 449033558031.

130855330944 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 553 + 3 + 0 + 94 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104898254400 + 25957076544 = 323880^2 + 161112^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1308553309442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130855330944.

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 11 ways as a sum of consecutive naturals, for example, 4353859 + ... + 4383810.

Almost surely, 2130855330944 is an apocalyptic number.

It is an amenable number.

130855330944 is an abundant number, since it is smaller than the sum of its proper divisors (274659933756).

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

130855330944 is a wasteful number, since it uses less digits than its factorization.

130855330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8737702 (or 8737687 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 130855330944 its reverse (449033558031), we get a palindrome (579888888975).

The spelling of 130855330944 in words is "one hundred thirty billion, eight hundred fifty-five million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 8737669 17475338 26213007 34950676 52426014 69901352 78639021 104852028 113589697 139802704 157278042 209704056 227179394 279605408 314556084 340769091 419408112 454358788 559210816 629112168 681538182 838816224 908717576 1022307273 1118421632 1258224336 1363076364 1677632448 1817435152 2044614546 2516448672 2726152728 3355264896 3634870304 4089229092 5032897344 5452305456 7269740608 8178458184 10065794688 10904610912 14539481216 16356916368 21809221824 32713832736 43618443648 65427665472 130855330944