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42031970289 = 3237218472
BaseRepresentation
bin100111001001010011…
…001111011111110001
311000111021120022201100
4213021103033133301
51142040141022124
631150442555013
73015406565301
oct471123173761
9130437508640
1042031970289
1116909a51431
128190508a69
133c6b04164a
14206a3c9601
1511600b21c9
hex9c94cf7f1

42031970289 has 27 divisors (see below), whose sum is σ = 62431883787. Its totient is φ = 27249219504.

The previous prime is 42031970249. The next prime is 42031970291. The reversal of 42031970289 is 98207913024.

The square root of 42031970289 is 205017.

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

It can be written as a sum of positive squares in only one way, i.e., 37610784225 + 4421186064 = 193935^2 + 66492^2 .

It is not a de Polignac number, because 42031970289 - 213 = 42031962097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42031970209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22755964 + ... + 22757810.

Almost surely, 242031970289 is an apocalyptic number.

42031970289 is the 205017-th square number.

42031970289 is the 102509-th centered octagonal number.

It is an amenable number.

42031970289 is a deficient number, since it is larger than the sum of its proper divisors (20399913498).

42031970289 is an frugal number, since it uses more digits than its factorization.

42031970289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 42031970289 in words is "forty-two billion, thirty-one million, nine hundred seventy thousand, two hundred eighty-nine".

Divisors: 1 3 9 37 111 333 1369 1847 4107 5541 12321 16623 68339 205017 615051 2528543 3411409 7585629 10234227 22756887 30702681 126222133 378666399 1135999197 4670218921 14010656763 42031970289