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14122304234420 = 22513722370132971
BaseRepresentation
bin1100110110000001101011…
…1011010110001110110100
31212000002010122220210122112
43031200122323112032310
53322334434341000140
650011410315150152
72655205602241424
oct315403273261664
955002118823575
1014122304234420
114555265633178
121700bb7145358
137b595c636925
1436b747826484
1519754830ec65
hexcd81aed63b4

14122304234420 has 96 divisors (see below), whose sum is σ = 30050991000576. Its totient is φ = 5574409344000.

The previous prime is 14122304234417. The next prime is 14122304234429. The reversal of 14122304234420 is 2443240322141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122304234429) 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, 428308535 + ... + 428341505.

It is an arithmetic number, because the mean of its divisors is an integer number (313031156256).

Almost surely, 214122304234420 is an apocalyptic number.

14122304234420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122304234420 is an abundant number, since it is smaller than the sum of its proper divisors (15928686766156).

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

14122304234420 is a wasteful number, since it uses less digits than its factorization.

14122304234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34041 (or 34039 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14122304234420 its reverse (2443240322141), we get a palindrome (16565544556561).

The spelling of 14122304234420 in words is "fourteen trillion, one hundred twenty-two billion, three hundred four million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 137 223 274 446 548 685 701 892 1115 1370 1402 2230 2740 2804 3505 4460 7010 14020 30551 32971 61102 65942 96037 122204 131884 152755 156323 164855 192074 305510 312646 329710 384148 480185 611020 625292 659420 781615 960370 1563230 1920740 3126460 4517027 7352533 9034054 14705066 18068108 21416251 22585135 23112671 29410132 36762665 42832502 45170270 46225342 73525330 85665004 90340540 92450684 107081255 115563355 147050660 214162510 231126710 428325020 462253420 1007297021 2014594042 3166435927 4029188084 5036485105 5154125633 6332871854 10072970210 10308251266 12665743708 15832179635 20145940420 20616502532 25770628165 31664359270 51541256330 63328718540 103082512660 706115211721 1412230423442 2824460846884 3530576058605 7061152117210 14122304234420