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1040172045795 = 34519943929399
BaseRepresentation
bin11110010001011110001…
…01011101010111100011
310200102212101012210110000
433020233011131113203
5114020233020431140
62113503132511043
7135102301336041
oct17105705352743
93612771183400
101040172045795
11371153003543
1214971361b483
137711ab9863c
14384b77db391
151c0cd3d4a30
hexf22f15d5e3

1040172045795 has 80 divisors (see below), whose sum is σ = 1878307200000. Its totient is φ = 550694624832.

The previous prime is 1040172045779. The next prime is 1040172045797. The reversal of 1040172045795 is 5975402710401.

1040172045795 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 72 + 0 + 4 + 579 + 5 = 666.

It is not a de Polignac number, because 1040172045795 - 24 = 1040172045779 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 1040172045795.

It is not an unprimeable number, because it can be changed into a prime (1040172045797) 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 79 ways as a sum of consecutive naturals, for example, 35366506 + ... + 35395904.

It is an arithmetic number, because the mean of its divisors is an integer number (23478840000).

Almost surely, 21040172045795 is an apocalyptic number.

1040172045795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1040172045795 is a deficient number, since it is larger than the sum of its proper divisors (838135154205).

1040172045795 is a wasteful number, since it uses less digits than its factorization.

1040172045795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30054 (or 30045 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1040172045795 in words is "one trillion, forty billion, one hundred seventy-two million, forty-five thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 199 405 439 597 995 1317 1791 2195 2985 3951 5373 6585 8955 11853 16119 19755 26865 29399 35559 59265 80595 87361 88197 146995 177795 262083 264591 436805 440985 786249 793773 1310415 1322955 2358747 2381319 3931245 3968865 5850401 7076241 11793735 11906595 12906161 17551203 29252005 35381205 38718483 52653609 64530805 87756015 116155449 157960827 193592415 263268045 348466347 473882481 580777245 789804135 1045399041 1742331735 2369412405 2568326039 5226995205 7704978117 12841630195 23114934351 38524890585 69344803053 115574671755 208034409159 346724015265 1040172045795