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42343951171729 = 29245724912
BaseRepresentation
bin10011010000010111110000…
…01010110000000010010001
312112221001010202120202011211
421220023320022300002101
521022230402444443404
6230020313112340121
711630151404214154
oct1150137012600221
9175831122522154
1042343951171729
1112545a72593a79
1248ba65b6a4641
131a8202c49670c
14a6565b31bc9b
154d66e3bbcb04
hex2682f82b0091

42343951171729 has 27 divisors (see below), whose sum is σ = 44040303242481. Its totient is φ = 40711269399360.

The previous prime is 42343951171721. The next prime is 42343951171783. The reversal of 42343951171729 is 92717115934324.

The square root of 42343951171729 is 6507223.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7466091732225 + 34877859439504 = 2732415^2 + 5905748^2 .

It is not a de Polignac number, because 42343951171729 - 23 = 42343951171721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42343951171721) 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 26 ways as a sum of consecutive naturals, for example, 86240226174 + ... + 86240226664.

Almost surely, 242343951171729 is an apocalyptic number.

42343951171729 is the 6507223-rd square number.

42343951171729 is the 3253612-nd centered octagonal number.

It is an amenable number.

42343951171729 is a deficient number, since it is larger than the sum of its proper divisors (1696352070752).

42343951171729 is an frugal number, since it uses more digits than its factorization.

42343951171729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 977 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 58.

The spelling of 42343951171729 in words is "forty-two trillion, three hundred forty-three billion, nine hundred fifty-one million, one hundred seventy-one thousand, seven hundred twenty-nine".

Divisors: 1 29 457 491 841 13253 14239 208849 224387 241081 384337 412931 6056621 6507223 6991349 102544859 110174017 175642009 188709467 202749121 2973800911 3195046493 50349525769 86240226419 92656348297 1460136247301 42343951171729