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40235115634112 = 2674310092069987
BaseRepresentation
bin10010010010111111101111…
…10001100101110111000000
312021110102212101110201221002
421021133313301211313000
520233203004100242422
6221323431300151132
711321614450002530
oct1111376761456700
9167412771421832
1040235115634112
1111902686936993
124619a029984a8
13195b202a66259
149d15661a74c0
1549b91ae63692
hex2497f7c65dc0

40235115634112 has 112 divisors (see below), whose sum is σ = 93462110987520. Its totient is φ = 16825906040832.

The previous prime is 40235115634099. The next prime is 40235115634117. The reversal of 40235115634112 is 21143651153204.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40235115634117) 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, 18402383 + ... + 20472369.

Almost surely, 240235115634112 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 40235115634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46731055493760).

40235115634112 is an abundant number, since it is smaller than the sum of its proper divisors (53226995353408).

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

40235115634112 is a wasteful number, since it uses less digits than its factorization.

40235115634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071058 (or 2071048 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

Adding to 40235115634112 its reverse (21143651153204), we get a palindrome (61378766787316).

The spelling of 40235115634112 in words is "forty trillion, two hundred thirty-five billion, one hundred fifteen million, six hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1009 1204 1376 2018 2408 2752 4036 4816 7063 8072 9632 14126 16144 19264 28252 32288 43387 56504 64576 86774 113008 173548 226016 303709 347096 452032 607418 694192 1214836 1388384 2069987 2429672 2776768 4139974 4859344 8279948 9718688 14489909 16559896 19437376 28979818 33119792 57959636 66239584 89009441 115919272 132479168 178018882 231838544 356037764 463677088 623066087 712075528 927354176 1246132174 1424151056 2088616883 2492264348 2848302112 4177233766 4984528696 5696604224 8354467532 9969057392 14620318181 16708935064 19938114784 29240636362 33417870128 39876229568 58481272724 66835740256 89810525969 116962545448 133671480512 179621051938 233925090896 359242103876 467850181792 628673681783 718484207752 935700363584 1257347363566 1436968415504 2514694727132 2873936831008 5029389454264 5747873662016 10058778908528 20117557817056 40235115634112