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40343222112 = 25313911032741
BaseRepresentation
bin100101100100101001…
…001011011101100000
310212010120220000201120
4211210221023131200
51130110331101422
630311115132240
72625512505234
oct454451133540
9125116800646
1040343222112
1116122773986
12799aa44080
133a5c20467b
141d49dd25c4
1510b1bd245c
hex964a4b760

40343222112 has 96 divisors (see below), whose sum is σ = 106798487040. Its totient is φ = 13334023680.

The previous prime is 40343222099. The next prime is 40343222119. The reversal of 40343222112 is 21122234304.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40343222119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14717062 + ... + 14719802.

It is an arithmetic number, because the mean of its divisors is an integer number (1112484240).

Almost surely, 240343222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40343222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53399243520).

40343222112 is an abundant number, since it is smaller than the sum of its proper divisors (66455264928).

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

40343222112 is a wasteful number, since it uses less digits than its factorization.

40343222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40343222112 its reverse (21122234304), we get a palindrome (61465456416).

The spelling of 40343222112 in words is "forty billion, three hundred forty-three million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1103 1112 1668 2206 2224 2741 3309 3336 4412 4448 5482 6618 6672 8223 8824 10964 13236 13344 16446 17648 21928 26472 32892 35296 43856 52944 65784 87712 105888 131568 153317 263136 306634 380999 459951 613268 761998 919902 1142997 1226536 1523996 1839804 2285994 2453072 3023323 3047992 3679608 4571988 4906144 6046646 6095984 7359216 9069969 9143976 12093292 12191968 14718432 18139938 18287952 24186584 36279876 36575904 48373168 72559752 96746336 145119504 290239008 420241897 840483794 1260725691 1680967588 2521451382 3361935176 5042902764 6723870352 10085805528 13447740704 20171611056 40343222112