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40121114343012 = 223270113731157929
BaseRepresentation
bin10010001111101011011001…
…10001001011011001100100
312021001112121102221010001100
421013311230301023121210
520224321020232434022
6221155215133000100
711310440421010413
oct1107655461133144
9167045542833040
1040121114343012
11118692a610062a
1245bb8a8023030
1319505355b50a1
149c9c2d81547a
1549899793d1ac
hex247d6cc4b664

40121114343012 has 72 divisors (see below), whose sum is σ = 101635994973240. Its totient is φ = 13344888614400.

The previous prime is 40121114342993. The next prime is 40121114343017. The reversal of 40121114343012 is 21034341112104.

It is a happy number.

40121114343012 is a `hidden beast` number, since 4 + 0 + 1 + 211 + 1 + 4 + 3 + 430 + 12 = 666.

40121114343012 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 36870932756736 + 3250181586276 = 6072144^2 + 1802826^2 .

It is a super-2 number, since 2×401211143430122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40121114343017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34070064 + ... + 35227992.

It is an arithmetic number, because the mean of its divisors is an integer number (1411611041295).

Almost surely, 240121114343012 is an apocalyptic number.

It is an amenable number.

40121114343012 is an abundant number, since it is smaller than the sum of its proper divisors (61514880630228).

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

40121114343012 is a wasteful number, since it uses less digits than its factorization.

40121114343012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160013 (or 1160008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40121114343012 its reverse (21034341112104), we get a palindrome (61155455455116).

The spelling of 40121114343012 in words is "forty trillion, one hundred twenty-one billion, one hundred fourteen million, three hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 701 1373 1402 2103 2746 2804 4119 4206 5492 6309 8238 8412 12357 12618 16476 24714 25236 49428 962473 1157929 1924946 2315858 2887419 3473787 3849892 4631716 5774838 6947574 8662257 10421361 11549676 13895148 17324514 20842722 34649028 41685444 811708229 1589836517 1623416458 2435124687 3179673034 3246832916 4769509551 4870249374 6359346068 7305374061 9539019102 9740498748 14308528653 14610748122 19078038204 28617057306 29221496244 57234114612 1114475398417 2228950796834 3343426195251 4457901593668 6686852390502 10030278585753 13373704781004 20060557171506 40121114343012