Search a number
-
+
452730042144 = 25322276925019
BaseRepresentation
bin1101001011010001101…
…00000011011100100000
31121021120112110001101200
412211220310003130200
524404142342322034
6543551544001200
744465033602212
oct6455064033440
91537515401350
10452730042144
11165002340526
12738aa460200
13338ccb82a03
1417cab3065b2
15bb9aca9a99
hex6968d03720

452730042144 has 72 divisors (see below), whose sum is σ = 1293122834640. Its totient is φ = 150245190528.

The previous prime is 452730042113. The next prime is 452730042197. The reversal of 452730042144 is 441240037254.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4527300421442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 452730042099 and 452730042108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3397134 + ... + 3527885.

It is an arithmetic number, because the mean of its divisors is an integer number (17960039370).

Almost surely, 2452730042144 is an apocalyptic number.

It is an amenable number.

452730042144 is an abundant number, since it is smaller than the sum of its proper divisors (840392792496).

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

452730042144 is a wasteful number, since it uses less digits than its factorization.

452730042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6925262 (or 6925251 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 452730042144 its reverse (441240037254), we get a palindrome (893970079398).

The spelling of 452730042144 in words is "four hundred fifty-two billion, seven hundred thirty million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 454 681 908 1362 1816 2043 2724 3632 4086 5448 7264 8172 10896 16344 21792 32688 65376 6925019 13850038 20775057 27700076 41550114 55400152 62325171 83100228 110800304 124650342 166200456 221600608 249300684 332400912 498601368 664801824 997202736 1571979313 1994405472 3143958626 4715937939 6287917252 9431875878 12575834504 14147813817 18863751756 25151669008 28295627634 37727503512 50303338016 56591255268 75455007024 113182510536 150910014048 226365021072 452730042144