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40212151055433 = 337733693178919
BaseRepresentation
bin10010010010010100111101…
…11110101011010001001001
312021101020120221120021021000
421021022132332223101021
520232313441132233213
6221305112425405213
711320142406211230
oct1111123676532111
9167336527507230
1040212151055433
11118a3971a40045
124615474039809
131958cb3129866
149d03c8299b17
1549b024cedc73
hex24929efab449

40212151055433 has 64 divisors (see below), whose sum is σ = 69019467059200. Its totient is φ = 22662698970240.

The previous prime is 40212151055431. The next prime is 40212151055437. The reversal of 40212151055433 is 33455015121204.

40212151055433 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 2 + 1 + 5 + 105 + 543 + 3 = 666.

40212151055433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40212151055433 - 21 = 40212151055431 is a prime.

It is a super-2 number, since 2×402121510554332 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40212151055431) 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 63 ways as a sum of consecutive naturals, for example, 509497548 + ... + 509576466.

It is an arithmetic number, because the mean of its divisors is an integer number (1078429172800).

Almost surely, 240212151055433 is an apocalyptic number.

It is an amenable number.

40212151055433 is a deficient number, since it is larger than the sum of its proper divisors (28807316003767).

40212151055433 is a wasteful number, since it uses less digits than its factorization.

40212151055433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115939 (or 115933 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 40212151055433 its reverse (33455015121204), we get a palindrome (73667166176637).

The spelling of 40212151055433 in words is "forty trillion, two hundred twelve billion, one hundred fifty-one million, fifty-five thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 73 189 219 511 657 1533 1971 4599 13797 36931 78919 110793 236757 258517 332379 552433 710271 775551 997137 1657299 2130813 2326653 2695963 4971897 5761087 6979959 8087889 14915691 17283261 18871741 24263667 40327609 51849783 56615223 72791001 120982827 155549349 169845669 362948481 509537007 1088845443 2914557589 8743672767 20401903123 26231018301 61205709369 78693054903 183617128107 212762703997 550851384321 638288111991 1489338927979 1914864335973 4468016783937 5744593007919 13404050351811 40212151055433