Search a number
-
+
40933210905 = 32597109227379
BaseRepresentation
bin100110000111110011…
…110011101100011001
310220122201001120012100
4212013303303230121
51132312400222110
630445432434013
72646235360206
oct460763635431
9126581046170
1040933210905
11163a5804224
127b24548909
133b24506572
141da44d0cad
1510e88c3bc0
hex987cf3b19

40933210905 has 96 divisors (see below), whose sum is σ = 72850377600. Its totient is φ = 21257220096.

The previous prime is 40933210853. The next prime is 40933210919. The reversal of 40933210905 is 50901233904.

It is a happy number.

40933210905 is a `hidden beast` number, since 409 + 33 + 210 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 40933210905 - 211 = 40933208857 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40933210905.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108003006 + ... + 108003384.

It is an arithmetic number, because the mean of its divisors is an integer number (758858100).

Almost surely, 240933210905 is an apocalyptic number.

40933210905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40933210905 is a deficient number, since it is larger than the sum of its proper divisors (31917166695).

40933210905 is a wasteful number, since it uses less digits than its factorization.

40933210905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 40933210905 in words is "forty billion, nine hundred thirty-three million, two hundred ten thousand, nine hundred five".

Divisors: 1 3 5 9 15 45 97 109 227 291 327 379 485 545 681 873 981 1135 1137 1455 1635 1895 2043 3405 3411 4365 4905 5685 10215 10573 17055 22019 24743 31719 36763 41311 52865 66057 74229 86033 95157 110095 110289 123715 123933 158595 183815 198171 206555 222687 258099 330285 330867 371145 371799 430165 475785 551445 619665 774297 990855 1113435 1290495 1654335 1858995 2400071 3871485 4007167 7200213 8345201 9377597 12000355 12021501 20035835 21600639 25035603 28132791 36001065 36064503 41726005 46887985 60107505 75106809 84398373 108003195 125178015 140663955 180322515 375534045 421991865 909626909 2728880727 4548134545 8186642181 13644403635 40933210905