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706142744329 = 1127929672
BaseRepresentation
bin10100100011010010110…
…00110010111100001001
32111111200022011010211011
422101221120302330021
543032140020304304
61300221505403521
7102005606202061
oct12215130627411
92444608133734
10706142744329
11252523196400
12b4a319395a1
1351786c941b9
142626b0703a1
151357d4d9c04
hexa469632f09

706142744329 has 27 divisors (see below), whose sum is σ = 786936567501. Its totient is φ = 633166574040.

The previous prime is 706142744317. The next prime is 706142744357. The reversal of 706142744329 is 923447241607.

The square root of 706142744329 is 840323.

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

It is a de Polignac number, because none of the positive numbers 2k-706142744329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (706142744029) 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, 730240204 + ... + 730241170.

Almost surely, 2706142744329 is an apocalyptic number.

706142744329 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

706142744329 is the 840323-rd square number.

706142744329 is the 420162-nd centered octagonal number.

It is an amenable number.

706142744329 is a deficient number, since it is larger than the sum of its proper divisors (80793823172).

706142744329 is an frugal number, since it uses more digits than its factorization.

706142744329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 706142744329 by its sum of digits (49), we get a square (34600994472121 = 58822612).

The spelling of 706142744329 in words is "seven hundred six billion, one hundred forty-two million, seven hundred forty-four thousand, three hundred twenty-nine".

Divisors: 1 11 79 121 869 967 6241 9559 10637 68651 76393 117007 755161 840323 935089 6035047 9243553 10285979 66385517 73872031 113145769 730240687 812592341 5835890449 8938515751 64194794939 706142744329