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4301440431431 = 111357752131721
BaseRepresentation
bin111110100110000001110…
…101000011010101000111
3120020012202210001020010112
4332212001311003111013
51030433322222301211
613052015432343235
7622524463254143
oct76460165032507
916205683036115
104301440431431
111409259a92370
12595793844b1b
13252816190b20
1410c2958ba223
1576d54d4888b
hex3e981d43547

4301440431431 has 16 divisors (see below), whose sum is σ = 5062198733088. Its totient is φ = 3603344486400.

The previous prime is 4301440431397. The next prime is 4301440431437. The reversal of 4301440431431 is 1341340441034.

4301440431431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4301440431431 - 26 = 4301440431367 is a prime.

It is a super-2 number, since 2×43014404314312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4301440431437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25983350 + ... + 26148371.

It is an arithmetic number, because the mean of its divisors is an integer number (316387420818).

Almost surely, 24301440431431 is an apocalyptic number.

4301440431431 is a deficient number, since it is larger than the sum of its proper divisors (760758301657).

4301440431431 is a wasteful number, since it uses less digits than its factorization.

4301440431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52132322.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4301440431431 its reverse (1341340441034), we get a palindrome (5642780872465).

The spelling of 4301440431431 in words is "four trillion, three hundred one billion, four hundred forty million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 11 13 143 577 6347 7501 82511 52131721 573448931 677712373 7454836103 30080003017 330880033187 391040039221 4301440431431