Search a number
-
+
755441012240 = 24571317132409
BaseRepresentation
bin10101111111000111100…
…10110000111000010000
32200012220222112121222122
422333203302300320100
544334120344342430
61335013402353412
7105402350440505
oct12774362607020
92605828477878
10755441012240
11271420836782
121024ab7bb868
1356312539325
14287c64d54ac
15149b6468ee5
hexafe3cb0e10

755441012240 has 40 divisors (see below), whose sum is σ = 1756438246680. Its totient is φ = 302169885696.

The previous prime is 755441012201. The next prime is 755441012243. The reversal of 755441012240 is 42210144557.

755441012240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 134345707024 + 621095305216 = 366532^2 + 788096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7554410122402 (a number of 25 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 755441012240.

It is not an unprimeable number, because it can be changed into a prime (755441012243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5639156 + ... + 5771564.

It is an arithmetic number, because the mean of its divisors is an integer number (43910956167).

Almost surely, 2755441012240 is an apocalyptic number.

It is an amenable number.

755441012240 is an abundant number, since it is smaller than the sum of its proper divisors (1000997234440).

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

755441012240 is a wasteful number, since it uses less digits than its factorization.

755441012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203739 (or 203733 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

Adding to 755441012240 its reverse (42210144557), we get a palindrome (797651156797).

The spelling of 755441012240 in words is "seven hundred fifty-five billion, four hundred forty-one million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 71317 132409 142634 264818 285268 356585 529636 570536 662045 713170 1059272 1141072 1324090 1426340 2118544 2648180 2852680 5296360 5705360 10592720 9443012653 18886025306 37772050612 47215063265 75544101224 94430126530 151088202448 188860253060 377720506120 755441012240