Search a number
-
+
4021440244031 = 73741378702349
BaseRepresentation
bin111010100001010000100…
…001000110100100111111
3112020110001002021221120102
4322201100201012210333
51011341402200302111
612315231340511315
7563353016035160
oct72412041064477
915213032257512
104021440244031
1113105351a7311
1254b47024b53b
132322b29a2772
14dc8d2a11767
156e9183ba13b
hex3a85084693f

4021440244031 has 16 divisors (see below), whose sum is σ = 4835271604800. Its totient is φ = 3271988286720.

The previous prime is 4021440243979. The next prime is 4021440244039. The reversal of 4021440244031 is 1304420441204.

It is a cyclic number.

It is not a de Polignac number, because 4021440244031 - 26 = 4021440243967 is a prime.

It is a super-3 number, since 3×40214402440313 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4021440243985 and 4021440244003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021440244039) 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, 189340556 + ... + 189361793.

It is an arithmetic number, because the mean of its divisors is an integer number (302204475300).

Almost surely, 24021440244031 is an apocalyptic number.

4021440244031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4021440244031 is a deficient number, since it is larger than the sum of its proper divisors (813831360769).

4021440244031 is a wasteful number, since it uses less digits than its factorization.

4021440244031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378702434.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4021440244031 its reverse (1304420441204), we get a palindrome (5325860685235).

The spelling of 4021440244031 in words is "four trillion, twenty-one billion, four hundred forty million, two hundred forty-four thousand, thirty-one".

Divisors: 1 7 37 41 259 287 1517 10619 378702349 2650916443 14011986913 15526796309 98083908391 108687574163 574491463433 4021440244031