Search a number
-
+
40222200202011 = 3319297934223417
BaseRepresentation
bin10010010010100111101011…
…11101001000001100011011
312021102012112021210210211000
421021103311331020030123
520233000031222431021
6221313453525440043
711320646421434532
oct1111236575101433
9167365467723730
1040222200202011
11118a8159472663
1246173b9570023
131959c25063b39
149d0a9cb73319
1549b412168b26
hex2494f5f4831b

40222200202011 has 64 divisors (see below), whose sum is σ = 65708962560000. Its totient is φ = 24217036736256.

The previous prime is 40222200202001. The next prime is 40222200202027. The reversal of 40222200202011 is 11020200222204.

40222200202011 is a `hidden beast` number, since 40 + 222 + 200 + 2 + 0 + 201 + 1 = 666.

40222200202011 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 40222200202011 - 223 = 40222191813403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40222200202001) 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, 15936426 + ... + 18286991.

It is an arithmetic number, because the mean of its divisors is an integer number (1026702540000).

Almost surely, 240222200202011 is an apocalyptic number.

40222200202011 is a deficient number, since it is larger than the sum of its proper divisors (25486762357989).

40222200202011 is a wasteful number, since it uses less digits than its factorization.

40222200202011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34223553 (or 34223547 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40222200202011 its reverse (11020200222204), we get a palindrome (51242400424215).

The spelling of 40222200202011 in words is "forty trillion, two hundred twenty-two billion, two hundred million, two hundred two thousand, eleven".

Divisors: 1 3 9 19 27 29 57 79 87 171 237 261 513 551 711 783 1501 1653 2133 2291 4503 4959 6873 13509 14877 20619 40527 43529 61857 130587 391761 1175283 34223417 102670251 308010753 650244923 924032259 992479093 1950734769 2703649943 2977437279 5852204307 8110949829 8932311837 17556612921 18857102767 24332849487 26796935511 51369348917 56571308301 72998548461 78405848347 154108046751 169713924903 235217545041 462324140253 509141774709 705652635123 1386972420759 1489711118593 2116957905369 4469133355779 13407400067337 40222200202011