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40000001042441 = 1140160317150343
BaseRepresentation
bin10010001100001001110011…
…10110100110100000001001
312020121221222211212222021102
421012010321312212200021
520220330000231324231
6221023425150351145
711265622212644636
oct1106047166464011
9166557884788242
1040000001042441
11118219a58772a0
1245a03274bb4b5
131941ca38710ab
149c40206ab18d
15495759d75acb
hex246139da6809

40000001042441 has 16 divisors (see below), whose sum is σ = 43746199867008. Its totient is φ = 36272112288000.

The previous prime is 40000001042437. The next prime is 40000001042467. The reversal of 40000001042441 is 14424010000004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 40000001042441 - 22 = 40000001042437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40000001042411) 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 15 ways as a sum of consecutive naturals, for example, 265983116 + ... + 266133458.

It is an arithmetic number, because the mean of its divisors is an integer number (2734137491688).

Almost surely, 240000001042441 is an apocalyptic number.

It is an amenable number.

40000001042441 is a deficient number, since it is larger than the sum of its proper divisors (3746198824567).

40000001042441 is a wasteful number, since it uses less digits than its factorization.

40000001042441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211072.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 40000001042441 its reverse (14424010000004), we get a palindrome (54424011042445).

It can be divided in two parts, 4000000 and 1042441, that multiplied together give a square (4169764000000 = 20420002).

The spelling of 40000001042441 in words is "forty trillion, one million, forty-two thousand, four hundred forty-one".

Divisors: 1 11 401 4411 60317 150343 663487 1653773 24187117 60287543 266058287 663162973 9068238731 99750626041 3636363731131 40000001042441