Search a number
-
+
116322661441 = 71953131912511
BaseRepresentation
bin110110001010101011…
…1101111010001000001
3102010020201121110100001
41230111113233101001
53401212100131231
6125234330200001
711255404210510
oct1542527572101
9363221543301
10116322661441
1145372123248
121a664283001
13ac7a3993ac
1458b6bc4677
15305c218b61
hex1b155ef441

116322661441 has 32 divisors (see below), whose sum is σ = 142696857600. Its totient is φ = 92597618880.

The previous prime is 116322661387. The next prime is 116322661451. The reversal of 116322661441 is 144166223611.

It is a cyclic number.

It is not a de Polignac number, because 116322661441 - 217 = 116322530369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 116322661441.

It is not an unprimeable number, because it can be changed into a prime (116322661451) 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 31 ways as a sum of consecutive naturals, for example, 9291376 + ... + 9303886.

It is an arithmetic number, because the mean of its divisors is an integer number (4459276800).

Almost surely, 2116322661441 is an apocalyptic number.

It is an amenable number.

116322661441 is a deficient number, since it is larger than the sum of its proper divisors (26374196159).

116322661441 is a wasteful number, since it uses less digits than its factorization.

116322661441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909.

The product of its digits is 41472, while the sum is 37.

The spelling of 116322661441 in words is "one hundred sixteen billion, three hundred twenty-two million, six hundred sixty-one thousand, four hundred forty-one".

Divisors: 1 7 19 53 133 371 1007 1319 7049 9233 12511 25061 69907 87577 175427 237709 489349 663083 1328233 1663963 4641581 9297631 12598577 16502009 88190039 115514063 313538171 874606477 2194767197 6122245339 16617523063 116322661441