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1257350141 = 17257287789
BaseRepresentation
bin100101011110001…
…1010001111111101
310020121221000010202
41022330122033331
510033340201031
6324433213245
743105204565
oct11274321775
93217830122
101257350141
11595817853
122b1101225
13170654288
14bcdbbda5
15755b82cb
hex4af1a3fd

1257350141 has 8 divisors (see below), whose sum is σ = 1336496760. Its totient is φ = 1178779648.

The previous prime is 1257350123. The next prime is 1257350189. The reversal of 1257350141 is 1410537521.

It can be written as a sum of positive squares in 4 ways, for example, as 1006792900 + 250557241 = 31730^2 + 15829^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1257350141 - 226 = 1190241277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257350741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139526 + ... + 148263.

It is an arithmetic number, because the mean of its divisors is an integer number (167062095).

Almost surely, 21257350141 is an apocalyptic number.

It is an amenable number.

1257350141 is a deficient number, since it is larger than the sum of its proper divisors (79146619).

1257350141 is a wasteful number, since it uses less digits than its factorization.

1257350141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288063.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 1257350141 is about 35459.1333932458. The cubic root of 1257350141 is about 1079.3246065849.

Adding to 1257350141 its reverse (1410537521), we get a palindrome (2667887662).

The spelling of 1257350141 in words is "one billion, two hundred fifty-seven million, three hundred fifty thousand, one hundred forty-one".

Divisors: 1 17 257 4369 287789 4892413 73961773 1257350141