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9243243416040 = 23351297235125261
BaseRepresentation
bin1000011010000001110000…
…1111011000100111101000
31012201122102112012122201020
42012200130033120213220
52202420130303303130
631354142025052440
71642542121456434
oct206403417304750
935648375178636
109243243416040
112a44045a34897
12105349b627120
135208321c15ba
1423d5380219c4
1511068825ee10
hex8681c3d89e8

9243243416040 has 128 divisors (see below), whose sum is σ = 27764013150720. Its totient is φ = 2461819392000.

The previous prime is 9243243416021. The next prime is 9243243416041. The reversal of 9243243416040 is 406143423429.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9243243415983 and 9243243416001.

It is not an unprimeable number, because it can be changed into a prime (9243243416041) by changing a digit.

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, 365897010 + ... + 365922270.

It is an arithmetic number, because the mean of its divisors is an integer number (216906352740).

Almost surely, 29243243416040 is an apocalyptic number.

It is an amenable number.

9243243416040 is an abundant number, since it is smaller than the sum of its proper divisors (18520769734680).

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

9243243416040 is a wasteful number, since it uses less digits than its factorization.

9243243416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28923 (or 28919 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

Adding to 9243243416040 its reverse (406143423429), we get a palindrome (9649386839469).

The spelling of 9243243416040 in words is "nine trillion, two hundred forty-three billion, two hundred forty-three million, four hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1297 2351 2594 3891 4702 5188 6485 7053 7782 9404 10376 11755 12970 14106 15564 18808 19455 23510 25261 25940 28212 31128 35265 38910 47020 50522 51880 56424 70530 75783 77820 94040 101044 126305 141060 151566 155640 202088 252610 282120 303132 378915 505220 606264 757830 1010440 1515660 3031320 3049247 6098494 9147741 12196988 15246235 18295482 24393976 30492470 32763517 36590964 45738705 59388611 60984940 65527034 73181928 91477410 98290551 118777222 121969880 131054068 163817585 178165833 182954820 196581102 237554444 262108136 296943055 327635170 356331666 365909640 393162204 475108888 491452755 593886110 655270340 712663332 786324408 890829165 982905510 1187772220 1310540680 1425326664 1781658330 1965811020 2375544440 3563316660 3931622040 7126633320 77027028467 154054056934 231081085401 308108113868 385135142335 462162170802 616216227736 770270284670 924324341604 1155405427005 1540540569340 1848648683208 2310810854010 3081081138680 4621621708020 9243243416040