Search a number
-
+
1131044636295 = 33577116857361
BaseRepresentation
bin10000011101010111100…
…000111000011010000111
311000010102110000200201000
4100131113200320122013
5122012334411330140
62223332243504343
7144500224532160
oct20352740703207
94003373020630
101131044636295
113a6745235802
121632546880b3
1382870708452
143ca5855c767
151e64b176a30
hex10757838687

1131044636295 has 64 divisors (see below), whose sum is σ = 2330361722880. Its totient is φ = 509766566400.

The previous prime is 1131044636269. The next prime is 1131044636299. The reversal of 1131044636295 is 5926364401311.

1131044636295 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 4 + 4 + 636 + 2 + 9 + 5 = 666.

It is not a de Polignac number, because 1131044636295 - 214 = 1131044619911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1131044636295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131044636299) 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 63 ways as a sum of consecutive naturals, for example, 8361586 + ... + 8495775.

It is an arithmetic number, because the mean of its divisors is an integer number (36411901920).

Almost surely, 21131044636295 is an apocalyptic number.

1131044636295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1131044636295 is an abundant number, since it is smaller than the sum of its proper divisors (1199317086585).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131044636295 is a wasteful number, since it uses less digits than its factorization.

1131044636295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16857453 (or 16857447 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1131044636295 in words is "one trillion, one hundred thirty-one billion, forty-four million, six hundred thirty-six thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 105 135 189 213 315 355 497 639 945 1065 1491 1917 2485 3195 4473 7455 9585 13419 22365 67095 16857361 50572083 84286805 118001527 151716249 252860415 354004581 455148747 590007635 758581245 1062013743 1196872631 1770022905 2275743735 3186041229 3590617893 5310068715 5984363155 8378108417 10771853679 15930206145 17953089465 25134325251 32315561037 41890542085 53859268395 75402975753 125671626255 161577805185 226208927259 377014878765 1131044636295