Search a number
-
+
45430241441310 = 23251147976364527
BaseRepresentation
bin10100101010001100011010…
…11001110011011000011110
312221212002101122012220022100
422111012031121303120132
521423312113302110220
6240342210444025530
712366140506523235
oct1225061531633036
9187762348186270
1045430241441310
1113525947a25430
125118827b322a6
131c4709039901b
14b30b9a55bb1c
1553bb28c53d90
hex29518d67361e

45430241441310 has 96 divisors (see below), whose sum is σ = 131598316541952. Its totient is φ = 10779064367040.

The previous prime is 45430241441309. The next prime is 45430241441359. The reversal of 45430241441310 is 1314414203454.

It is a happy number.

45430241441310 is a `hidden beast` number, since 4 + 543 + 0 + 2 + 41 + 4 + 41 + 31 + 0 = 666.

45430241441310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454302414413102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488135734 + ... + 488228793.

It is an arithmetic number, because the mean of its divisors is an integer number (1370815797312).

Almost surely, 245430241441310 is an apocalyptic number.

45430241441310 is an abundant number, since it is smaller than the sum of its proper divisors (86168075100642).

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

45430241441310 is a wasteful number, since it uses less digits than its factorization.

45430241441310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976364598 (or 976364595 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 45430241441310 its reverse (1314414203454), we get a palindrome (46744655644764).

The spelling of 45430241441310 in words is "forty-five trillion, four hundred thirty billion, two hundred forty-one million, four hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 47 55 66 90 94 99 110 141 165 198 235 282 330 423 470 495 517 705 846 990 1034 1410 1551 2115 2585 3102 4230 4653 5170 7755 9306 15510 23265 46530 976364527 1952729054 2929093581 4881822635 5858187162 8787280743 9763645270 10740009797 14645467905 17574561486 21480019594 29290935810 32220029391 43936403715 45889132769 53700048985 64440058782 87872807430 91778265538 96660088173 107400097970 137667398307 161100146955 193320176346 229445663845 275334796614 322200293910 413002194921 458891327690 483300440865 504780460459 688336991535 826004389842 966600881730 1009560920918 1376673983070 1514341381377 2065010974605 2523902302295 3028682762754 4130021949210 4543024144131 5047804604590 7571706906885 9086048288262 15143413813770 22715120720655 45430241441310