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2144002153257 = 321729216662409
BaseRepresentation
bin11111001100110000011…
…111001001101100101001
321120222001012022011212200
4133030300133021230221
5240111404022401012
64320535130530413
7310620241416456
oct37146037115451
97528035264780
102144002153257
117572a23599a8
122a7631b96a09
1312724231cb93
1475aad83282d
153ab8524c3dc
hex1f3307c9b29

2144002153257 has 36 divisors (see below), whose sum is σ = 3396032431740. Its totient is φ = 1298868028416.

The previous prime is 2144002153253. The next prime is 2144002153331. The reversal of 2144002153257 is 7523512004412.

2144002153257 is a `hidden beast` number, since 2 + 1 + 4 + 400 + 215 + 32 + 5 + 7 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 483677129961 + 1660325023296 = 695469^2 + 1288536^2 .

It is not a de Polignac number, because 2144002153257 - 22 = 2144002153253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2144002153253) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8202532 + ... + 8459877.

It is an arithmetic number, because the mean of its divisors is an integer number (94334234215).

Almost surely, 22144002153257 is an apocalyptic number.

It is an amenable number.

2144002153257 is a deficient number, since it is larger than the sum of its proper divisors (1252030278483).

2144002153257 is a wasteful number, since it uses less digits than its factorization.

2144002153257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16662490 (or 16662458 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 2144002153257 its reverse (7523512004412), we get a palindrome (9667514157669).

The spelling of 2144002153257 in words is "two trillion, one hundred forty-four billion, two million, one hundred fifty-three thousand, two hundred fifty-seven".

Divisors: 1 3 9 17 29 51 87 153 261 493 841 1479 2523 4437 7569 14297 42891 128673 16662409 49987227 149961681 283260953 483209861 849782859 1449629583 2549348577 4348888749 8214567637 14013085969 24643702911 42039257907 73931108733 126117773721 238222461473 714667384419 2144002153257