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142977320557 = 1722923937129
BaseRepresentation
bin1000010100101000011…
…1001100011001101101
3111200001100001102201221
42011022013030121231
54320304143224212
6145403300103341
713221053113111
oct2051207143155
9450040042657
10142977320557
11556aaa74145
1223862994b51
1310637665636
146cc4c0d741
153abc2d5807
hex214a1cc66d

142977320557 has 24 divisors (see below), whose sum is σ = 157207516200. Its totient is φ = 129854140416.

The previous prime is 142977320539. The next prime is 142977320567. The reversal of 142977320557 is 755023779241.

It can be written as a sum of positive squares in 12 ways, for example, as 15741717156 + 127235603401 = 125466^2 + 356701^2 .

It is a de Polignac number, because none of the positive numbers 2k-142977320557 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 (142977320537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20052169 + ... + 20059297.

It is an arithmetic number, because the mean of its divisors is an integer number (6550313175).

Almost surely, 2142977320557 is an apocalyptic number.

142977320557 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

142977320557 is a deficient number, since it is larger than the sum of its proper divisors (14230195643).

142977320557 is a wasteful number, since it uses less digits than its factorization.

142977320557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9568 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 142977320557 in words is "one hundred forty-two billion, nine hundred seventy-seven million, three hundred twenty thousand, five hundred fifty-seven".

Divisors: 1 17 29 289 493 2393 7129 8381 40681 69397 121193 206741 691577 1179749 2060281 3514597 17059697 20055733 59748149 290014849 494731213 4930252433 8410430621 142977320557