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341066511441 = 32415380921557
BaseRepresentation
bin1001111011010010010…
…01011111010001010001
31012121100111210221220100
410331221021133101101
521042001011331231
6420403411003013
733432642341055
oct4755111372121
91177314727810
10341066511441
11121711177157
1256126599469
1326215b38016
1412717211c65
158d12b141e6
hex4f6925f451

341066511441 has 48 divisors (see below), whose sum is σ = 514849018320. Its totient is φ = 217367255040.

The previous prime is 341066511419. The next prime is 341066511497. The reversal of 341066511441 is 144115660143.

341066511441 is a `hidden beast` number, since 3 + 41 + 0 + 66 + 511 + 4 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11508998400 + 329557513041 = 107280^2 + 574071^2 .

It is not a de Polignac number, because 341066511441 - 214 = 341066495057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 341066511396 and 341066511405.

It is not an unprimeable number, because it can be changed into a prime (341066511041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15810835 + ... + 15832391.

It is an arithmetic number, because the mean of its divisors is an integer number (10726021215).

Almost surely, 2341066511441 is an apocalyptic number.

It is an amenable number.

341066511441 is a deficient number, since it is larger than the sum of its proper divisors (173782506879).

341066511441 is a wasteful number, since it uses less digits than its factorization.

341066511441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22466 (or 22463 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 341066511441 in words is "three hundred forty-one billion, sixty-six million, five hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 41 53 123 159 369 477 809 2173 2427 6519 7281 19557 21557 33169 42877 64671 99507 128631 194013 298521 385893 883837 1142521 1757957 2651511 3427563 5273871 7954533 10282689 15821613 17439613 46843361 52318839 140530083 156956517 421590249 715024133 924299489 2145072399 2772898467 6435217197 8318695401 37896279049 113688837147 341066511441