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1141631035605 = 325412692300261
BaseRepresentation
bin10000100111001110100…
…000110010100011010101
311001010202020012111110100
4100213032200302203111
5122201030021114410
62232242535044313
7145323452456124
oct20471640624325
94033666174410
101141631035605
11400187a59245
12165309b10699
1383869a3ba58
143d380527abb
151ea6a7678c0
hex109ce8328d5

1141631035605 has 48 divisors (see below), whose sum is σ = 2034627744240. Its totient is φ = 591810892800.

The previous prime is 1141631035579. The next prime is 1141631035613. The reversal of 1141631035605 is 5065301361411.

1141631035605 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 3 + 10 + 35 + 605 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 753739985124 + 387891050481 = 868182^2 + 622809^2 .

It is not a de Polignac number, because 1141631035605 - 210 = 1141631034581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1141631035605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653826 + ... + 1646435.

It is an arithmetic number, because the mean of its divisors is an integer number (42388078005).

Almost surely, 21141631035605 is an apocalyptic number.

1141631035605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1141631035605 is a deficient number, since it is larger than the sum of its proper divisors (892996708635).

1141631035605 is a wasteful number, since it uses less digits than its factorization.

1141631035605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300582 (or 2300579 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1141631035605 in words is "one trillion, one hundred forty-one billion, six hundred thirty-one million, thirty-five thousand, six hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 269 369 615 807 1345 1845 2421 4035 11029 12105 33087 55145 99261 165435 496305 2300261 6900783 11501305 20702349 34503915 94310701 103511745 282932103 471553505 618770209 848796309 1414660515 1856310627 3093851045 4243981545 5568931881 9281553135 25369578569 27844659405 76108735707 126847892845 228326207121 380543678535 1141631035605