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5105151441 = 341324120117
BaseRepresentation
bin1001100000100101…
…00110110111010001
3111011210020120020000
410300102212313101
540423404321231
62202325040213
7240340033305
oct46022466721
914153216200
105105151441
11218a7a7925
12ba5856069
13634887090
14366033d05
151ed2c76e6
hex1304a6dd1

5105151441 has 40 divisors (see below), whose sum is σ = 8247333864. Its totient is φ = 3128440320.

The previous prime is 5105151437. The next prime is 5105151463. The reversal of 5105151441 is 1441515015.

5105151441 is a `hidden beast` number, since 5 + 1 + 0 + 515 + 144 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151807041 + 4953344400 = 12321^2 + 70380^2 .

It is not a de Polignac number, because 5105151441 - 22 = 5105151437 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (5105151481) 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, 243715 + ... + 263831.

Almost surely, 25105151441 is an apocalyptic number.

It is an amenable number.

5105151441 is a deficient number, since it is larger than the sum of its proper divisors (3142182423).

5105151441 is a wasteful number, since it uses less digits than its factorization.

5105151441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20383 (or 20374 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 5105151441 is about 71450.3424834339. The cubic root of 5105151441 is about 1721.8799798587.

Adding to 5105151441 its reverse (1441515015), we get a palindrome (6546666456).

The spelling of 5105151441 in words is "five billion, one hundred five million, one hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 241 351 723 1053 2169 3133 6507 9399 19521 20117 28197 60351 84591 181053 253773 261521 543159 784563 1629477 2353689 4848197 7061067 14544591 21183201 43633773 63026561 130901319 189079683 392703957 567239049 1701717147 5105151441