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4122341404431 = 349182310693181
BaseRepresentation
bin111011111111001110101…
…100011110111100001111
3112121002111001121222111020
4323333032230132330033
51020020023344420211
612433435534525223
7603554314534365
oct73771654367417
915532431558436
104122341404431
11134a303287578
12566b2b966813
1323b9730c3ac3
14103745611635
15723717b0306
hex3bfceb1ef0f

4122341404431 has 32 divisors (see below), whose sum is σ = 5521235335680. Its totient is φ = 2735875094400.

The previous prime is 4122341404409. The next prime is 4122341404457. The reversal of 4122341404431 is 1344041432214.

It is a happy number.

It is not a de Polignac number, because 4122341404431 - 210 = 4122341403407 is a prime.

It is a super-2 number, since 2×41223414044312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4122341404392 and 4122341404401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122341404031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295924661 + ... + 1295927841.

It is an arithmetic number, because the mean of its divisors is an integer number (172538604240).

Almost surely, 24122341404431 is an apocalyptic number.

4122341404431 is a deficient number, since it is larger than the sum of its proper divisors (1398893931249).

4122341404431 is a wasteful number, since it uses less digits than its factorization.

4122341404431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567.

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

Adding to 4122341404431 its reverse (1344041432214), we get a palindrome (5466382836645).

The spelling of 4122341404431 in words is "four trillion, one hundred twenty-two billion, three hundred forty-one million, four hundred four thousand, four hundred thirty-one".

Divisors: 1 3 491 823 1069 1473 2469 3181 3207 9543 404093 524879 879787 1212279 1561871 1574637 2617963 2639361 3400489 4685613 7853889 10201467 431975417 1285419833 1295926251 1669640099 2798602447 3856259499 5008920297 8395807341 1374113801477 4122341404431