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4122413114424 = 2331128155570111
BaseRepresentation
bin111011111111010010111…
…110000010010000111000
3112121002200001120020002220
4323333102332002100320
51020020200224130144
612433451015524040
7603556145212413
oct73772276022070
915532601506086
104122413114424
11134a33a806330
12566b4b989620
1323b984c10a57
14103750d5ab7a
1572377c27919
hex3bfd2f82438

4122413114424 has 64 divisors (see below), whose sum is σ = 11282955540480. Its totient is φ = 1244770464000.

The previous prime is 4122413114371. The next prime is 4122413114437. The reversal of 4122413114424 is 4244113142214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27710872 + ... + 27859239.

It is an arithmetic number, because the mean of its divisors is an integer number (176296180320).

Almost surely, 24122413114424 is an apocalyptic number.

4122413114424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4122413114424 is an abundant number, since it is smaller than the sum of its proper divisors (7160542426056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4122413114424 is a wasteful number, since it uses less digits than its factorization.

4122413114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55570412 (or 55570408 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 4122413114424 its reverse (4244113142214), we get a palindrome (8366526256638).

The spelling of 4122413114424 in words is "four trillion, one hundred twenty-two billion, four hundred thirteen million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 281 562 843 1124 1686 2248 3091 3372 6182 6744 9273 12364 18546 24728 37092 74184 55570111 111140222 166710333 222280444 333420666 444560888 611271221 666841332 1222542442 1333682664 1833813663 2445084884 3667627326 4890169768 7335254652 14670509304 15615201191 31230402382 46845603573 62460804764 93691207146 124921609528 171767213101 187382414292 343534426202 374764828584 515301639303 687068852404 1030603278606 1374137704808 2061206557212 4122413114424