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430807136881 = 112596692
BaseRepresentation
bin1100100010011100001…
…10110011101001110001
31112011222200122002000111
412101032012303221301
524024243111340011
6525524324021321
743060542146422
oct6211606635161
91464880562014
10430807136881
11156782441300
126b5b0531841
1331817cb4914
1416bcb8b3649
15b316309121
hex644e1b3a71

430807136881 has 9 divisors (see below), whose sum is σ = 473539747723. Its totient is φ = 391636288120.

The previous prime is 430807136869. The next prime is 430807136891. The reversal of 430807136881 is 188631708034.

It is a happy number.

The square root of 430807136881 is 656359.

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., 347874656481 + 82932480400 = 589809^2 + 287980^2 .

It is a de Polignac number, because none of the positive numbers 2k-430807136881 is a prime.

It is a super-2 number, since 2×4308071368812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (430807136801) 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 8 ways as a sum of consecutive naturals, for example, 7190115 + ... + 7249783.

Almost surely, 2430807136881 is an apocalyptic number.

430807136881 is the 656359-th square number.

430807136881 is the 328180-th centered octagonal number.

It is an amenable number.

430807136881 is a deficient number, since it is larger than the sum of its proper divisors (42732610842).

430807136881 is an frugal number, since it uses more digits than its factorization.

430807136881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119360 (or 59680 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 430807136881 by its sum of digits (49), we get a square (21109549707169 = 45945132).

The spelling of 430807136881 in words is "four hundred thirty billion, eight hundred seven million, one hundred thirty-six thousand, eight hundred eighty-one".

Divisors: 1 11 121 59669 656359 7219949 3560389561 39164285171 430807136881