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2042155311741 = 32534281248033
BaseRepresentation
bin11101101101111001111…
…100010010001001111101
321020020011022111120100100
4131231321330102021331
5231424313224433431
64202053031351313
7300353340512406
oct35557174221175
97206138446310
102042155311741
117180894864a6
1228b949822539
1311a760ccc80c
1470bab3c49ad
15381c3d054e6
hex1db79f1227d

2042155311741 has 12 divisors (see below), whose sum is σ = 3005436119868. Its totient is φ = 1335749385984.

The previous prime is 2042155311739. The next prime is 2042155311743. The reversal of 2042155311741 is 1471135512402.

2042155311741 is a `hidden beast` number, since 2 + 0 + 4 + 21 + 553 + 11 + 74 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2042155311739) and next prime (2042155311743).

It can be written as a sum of positive squares in 2 ways, for example, as 1800333315225 + 241821996516 = 1341765^2 + 491754^2 .

It is not a de Polignac number, because 2042155311741 - 21 = 2042155311739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042155311696 and 2042155311705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042155311743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2140623540 + ... + 2140624493.

It is an arithmetic number, because the mean of its divisors is an integer number (250453009989).

Almost surely, 22042155311741 is an apocalyptic number.

It is an amenable number.

2042155311741 is a deficient number, since it is larger than the sum of its proper divisors (963280808127).

2042155311741 is a wasteful number, since it uses less digits than its factorization.

2042155311741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281248092 (or 4281248089 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 2042155311741 in words is "two trillion, forty-two billion, one hundred fifty-five million, three hundred eleven thousand, seven hundred forty-one".

Divisors: 1 3 9 53 159 477 4281248033 12843744099 38531232297 226906145749 680718437247 2042155311741