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14223302431104 = 2731313567210011
BaseRepresentation
bin1100111011111001111011…
…1000111001000110000000
31212100201211101211210022210
43032332132320321012000
53331013310410243404
650130032301102120
72665412456610354
oct316763670710600
955321741753283
1014223302431104
114594083470208
1217186a3257940
137c2336ba17a0
143725a9285464
15199ea9ec1689
hexcef9ee39180

14223302431104 has 128 divisors (see below), whose sum is σ = 40690043412480. Its totient is φ = 4376057333760.

The previous prime is 14223302431087. The next prime is 14223302431141. The reversal of 14223302431104 is 40113420332241.

It is a tau number, because it is divible by the number of its divisors (128).

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, 67621459 + ... + 67831469.

It is an arithmetic number, because the mean of its divisors is an integer number (317890964160).

Almost surely, 214223302431104 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 14223302431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20345021706240).

14223302431104 is an abundant number, since it is smaller than the sum of its proper divisors (26466740981376).

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

14223302431104 is a wasteful number, since it uses less digits than its factorization.

14223302431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223608 (or 223596 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14223302431104 its reverse (40113420332241), we get a palindrome (54336722763345).

The spelling of 14223302431104 in words is "fourteen trillion, two hundred twenty-three billion, three hundred two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 13567 27134 40701 54268 81402 108536 162804 176371 210011 217072 325608 352742 420022 434144 529113 630033 651216 705484 840044 868288 1058226 1260066 1302432 1410968 1680088 1736576 2116452 2520132 2604864 2730143 2821936 3360176 4232904 5040264 5209728 5460286 5643872 6720352 8190429 8465808 10080528 10920572 11287744 13440704 16380858 16931616 20161056 21841144 22575488 26881408 32761716 33863232 40322112 43682288 65523432 67726464 80644224 87364576 131046864 174729152 262093728 349458304 524187456 1048374912 2849219237 5698438474 8547657711 11396876948 17095315422 22793753896 34190630844 37039850081 45587507792 68381261688 74079700162 91175015584 111119550243 136762523376 148159400324 182350031168 222239100486 273525046752 296318800648 364700062336 444478200972 547050093504 592637601296 888956401944 1094100187008 1185275202592 1777912803888 2370550405184 3555825607776 4741100810368 7111651215552 14223302431104