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4314123424401 = 373534791214963
BaseRepresentation
bin111110110001110101110…
…010110101001010010001
3120021102111200100000200220
4332301311302311022101
51031140311044040101
613101514141103253
7623454000030060
oct76616562651221
916242450300626
104314123424401
11141367822773a
12598133257b29
13253a8798b9ab
1410cb3a0c61d7
157734852c636
hex3ec75cb5291

4314123424401 has 32 divisors (see below), whose sum is σ = 6606293852160. Its totient is φ = 2453095755264.

The previous prime is 4314123424309. The next prime is 4314123424421. The reversal of 4314123424401 is 1044243214134.

It is a happy number.

It is not a de Polignac number, because 4314123424401 - 211 = 4314123422353 is a prime.

It is a super-2 number, since 2×43141234244012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4314123424421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943346 + ... + 4158308.

It is an arithmetic number, because the mean of its divisors is an integer number (206446682880).

Almost surely, 24314123424401 is an apocalyptic number.

It is an amenable number.

4314123424401 is a deficient number, since it is larger than the sum of its proper divisors (2292170427759).

4314123424401 is a wasteful number, since it uses less digits than its factorization.

4314123424401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215805.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4314123424401 its reverse (1044243214134), we get a palindrome (5358366638535).

The spelling of 4314123424401 in words is "four trillion, three hundred fourteen billion, one hundred twenty-three million, four hundred twenty-four thousand, four hundred one".

Divisors: 1 3 7 21 353 479 1059 1437 2471 3353 7413 10059 169087 507261 1183609 1214963 3550827 3644889 8504741 25514223 428881939 581967277 1286645817 1745901831 3002173573 4073770939 9006520719 12221312817 205434448781 616303346343 1438041141467 4314123424401