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1257143353 = 17341792
BaseRepresentation
bin100101011101110…
…0111110000111001
310020121112111110221
41022323213300321
510033312041403
6324424540041
743103353654
oct11273476071
93217474427
101257143353
11595696454
122b1021621
131705b110b
14bcd6689b
1575576dbd
hex4aee7c39

1257143353 has 24 divisors (see below), whose sum is σ = 1385816040. Its totient is φ = 1139723520.

The previous prime is 1257143347. The next prime is 1257143441. The reversal of 1257143353 is 3533417521.

It can be written as a sum of positive squares in 4 ways, for example, as 32353344 + 1224790009 = 5688^2 + 34997^2 .

It is not a de Polignac number, because 1257143353 - 29 = 1257142841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257143333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15913168 + ... + 15913246.

It is an arithmetic number, because the mean of its divisors is an integer number (57742335).

Almost surely, 21257143353 is an apocalyptic number.

It is an amenable number.

1257143353 is a deficient number, since it is larger than the sum of its proper divisors (128672687).

1257143353 is an frugal number, since it uses more digits than its factorization.

1257143353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 137 counting only the distinct ones).

The product of its digits is 37800, while the sum is 34.

The square root of 1257143353 is about 35456.2174096448. The cubic root of 1257143353 is about 1079.2654335653.

The spelling of 1257143353 in words is "one billion, two hundred fifty-seven million, one hundred forty-three thousand, three hundred fifty-three".

Divisors: 1 17 41 79 289 697 1343 3239 4913 6241 11849 22831 55063 106097 201433 255881 388127 936071 1803649 4349977 15913207 30662033 73949609 1257143353