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3821115141 = 341572691117
BaseRepresentation
bin1110001111000001…
…1001011100000101
3100212022002202120000
43203300121130011
530311201141031
61431055431513
7163455641244
oct34360313405
910768082500
103821115141
111690a133a8
128a7825599
1348b84b29c
142836aa95b
151756dc3e6
hexe3c19705

3821115141 has 40 divisors (see below), whose sum is σ = 5770959480. Its totient is φ = 2519517312.

The previous prime is 3821115131. The next prime is 3821115163. The reversal of 3821115141 is 1415111283.

3821115141 is a `hidden beast` number, since 38 + 2 + 111 + 514 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 259532100 + 3561583041 = 16110^2 + 59679^2 .

It is not a de Polignac number, because 3821115141 - 27 = 3821115013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3821115101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3420315 + ... + 3421431.

It is an arithmetic number, because the mean of its divisors is an integer number (144273987).

Almost surely, 23821115141 is an apocalyptic number.

It is an amenable number.

3821115141 is a deficient number, since it is larger than the sum of its proper divisors (1949844339).

3821115141 is a wasteful number, since it uses less digits than its factorization.

3821115141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1546 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 3821115141 is about 61815.1691820058. The cubic root of 3821115141 is about 1563.3757629713.

The spelling of 3821115141 in words is "three billion, eight hundred twenty-one million, one hundred fifteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 157 269 471 807 1117 1413 2421 3351 4239 7263 10053 12717 21789 30159 42233 90477 126699 175369 300473 380097 526107 901419 1140291 1578321 2704257 3420873 4734963 8112771 14204889 24338313 47174261 141522783 424568349 1273705047 3821115141