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14022111402224 = 2423472413363959
BaseRepresentation
bin1100110000001100011011…
…1110000001100011110000
31211122111112001102120100122
43030003012332001203300
53314214241004332344
645453400303105412
72645030664231062
oct314030676014360
954574461376318
1014022111402224
114516820370422
1216a56b48a2268
137a9382bac5c3
14366960d2b732
15194b321d4aee
hexcc0c6f818f0

14022111402224 has 80 divisors (see below), whose sum is σ = 29072364963840. Its totient is φ = 6536304952320.

The previous prime is 14022111402217. The next prime is 14022111402251. The reversal of 14022111402224 is 42220411122041.

It is a junction number, because it is equal to n+sod(n) for n = 14022111402193 and 14022111402202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2486357 + ... + 5850315.

It is an arithmetic number, because the mean of its divisors is an integer number (363404562048).

Almost surely, 214022111402224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022111402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536182481920).

14022111402224 is an abundant number, since it is smaller than the sum of its proper divisors (15050253561616).

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

14022111402224 is a wasteful number, since it uses less digits than its factorization.

14022111402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364278 (or 3364272 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 14022111402224 its reverse (42220411122041), we get a palindrome (56242522524265).

The spelling of 14022111402224 in words is "fourteen trillion, twenty-two billion, one hundred eleven million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 241 368 376 482 752 964 1081 1928 2162 3856 4324 5543 8648 11086 11327 17296 22172 22654 44344 45308 88688 90616 181232 260521 521042 1042084 2084168 3363959 4168336 6727918 13455836 26911672 53823344 77371057 154742114 158106073 309484228 316212146 618968456 632424292 810714119 1237936912 1264848584 1621428238 2529697168 3242856476 3636439679 6485712952 7272879358 12971425904 14545758716 18646424737 29091517432 37292849474 38103563593 58183034864 74585698948 76207127186 149171397896 152414254372 298342795792 304828508744 609657017488 876381962639 1752763925278 3505527850556 7011055701112 14022111402224