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40043222100144 = 24322371227750161
BaseRepresentation
bin10010001101011010010100…
…00001110110100010110000
312020210002112222221012021100
421012231022001312202300
520222032004324201034
6221055334031524400
711302012241611344
oct1106551201664260
9166702488835240
1040043222100144
1111839264a5069a
1245a878a089700
1319460a1055b53
149c6160985624
1549693951a099
hex246b4a0768b0

40043222100144 has 240 divisors, whose sum is σ = 119107385639424. Its totient is φ = 12532112947200.

The previous prime is 40043222100143. The next prime is 40043222100283. The reversal of 40043222100144 is 44100122234004.

40043222100144 is a `hidden beast` number, since 4 + 0 + 0 + 432 + 2 + 210 + 0 + 14 + 4 = 666.

It is a super-2 number, since 2×400432221001442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40043222100143) 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 47 ways as a sum of consecutive naturals, for example, 53004424 + ... + 53754584.

Almost surely, 240043222100144 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 40043222100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59553692819712).

40043222100144 is an abundant number, since it is smaller than the sum of its proper divisors (79064163539280).

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

40043222100144 is a wasteful number, since it uses less digits than its factorization.

40043222100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750496 (or 750487 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40043222100144 its reverse (44100122234004), we get a palindrome (84143344334148).

The spelling of 40043222100144 in words is "forty trillion, forty-three billion, two hundred twenty-two million, one hundred thousand, one hundred forty-four".