Search a number
-
+
4377840644241 = 3438326072
BaseRepresentation
bin111111101101001011101…
…000101111000010010001
3120111111222020112011110000
4333231023220233002101
51033211304201103431
613151052514200213
7631200654331311
oct77551350570221
916444866464400
104377840644241
1114386a4a06009
125a8555b83069
13259aa058b63c
14111c6251d441
1578d272989e6
hex3fb4ba2f091

4377840644241 has 45 divisors (see below), whose sum is σ = 6567676739481. Its totient is φ = 2906144549208.

The previous prime is 4377840644231. The next prime is 4377840644251. The reversal of 4377840644241 is 1424460487734.

The square root of 4377840644241 is 2092329.

It is a perfect power (a square), and thus also a powerful number.

4377840644241 is a `hidden beast` number, since 437 + 78 + 4 + 0 + 64 + 42 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (4377840644231) and next prime (4377840644251).

It is a de Polignac number, because none of the positive numbers 2k-4377840644241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4377840644231) 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 44 ways as a sum of consecutive naturals, for example, 7212257760 + ... + 7212258366.

Almost surely, 24377840644241 is an apocalyptic number.

4377840644241 is the 2092329-th square number.

4377840644241 is the 1046165-th centered octagonal number.

It is an amenable number.

4377840644241 is a deficient number, since it is larger than the sum of its proper divisors (2189836095240).

4377840644241 is an frugal number, since it uses more digits than its factorization.

4377840644241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

It can be divided in two parts, 4377840 and 644241, that added together give a square (5022081 = 22412).

The spelling of 4377840644241 in words is "four trillion, three hundred seventy-seven billion, eight hundred forty million, six hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 383 607 1149 1821 3447 5463 10341 16389 31023 49167 146689 232481 368449 440067 697443 1105347 1320201 2092329 3316041 3960603 6276987 9948123 11881809 18830961 29844369 89040223 141115967 267120669 423347901 801362007 1270043703 2404086021 3810131109 7212258063 11430393327 54047415361 162142246083 486426738249 1459280214747 4377840644241