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14114011224 = 233193831033
BaseRepresentation
bin11010010010100001…
…01011100001011000
31100102122000001120110
431021100223201120
5212401141324344
610252304124320
71006521054525
oct151120534130
940378001513
1014114011224
115a92a9a595
12289a9066a0
13143c119c41
1497c6b414c
155791543b9
hex34942b858

14114011224 has 128 divisors (see below), whose sum is σ = 37730246400. Its totient is φ = 4399094016.

The previous prime is 14114011199. The next prime is 14114011237. The reversal of 14114011224 is 42211041141.

It is a self number, because there is not a number n which added to its sum of digits gives 14114011224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13662612 + ... + 13663644.

It is an arithmetic number, because the mean of its divisors is an integer number (294767550).

Almost surely, 214114011224 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 14114011224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865123200).

14114011224 is an abundant number, since it is smaller than the sum of its proper divisors (23616235176).

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

14114011224 is a wasteful number, since it uses less digits than its factorization.

14114011224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 14114011224 its reverse (42211041141), we get a palindrome (56325052365).

The spelling of 14114011224 in words is "fourteen billion, one hundred fourteen million, eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 83 114 152 166 228 249 332 361 456 498 664 722 996 1033 1083 1444 1577 1992 2066 2166 2888 3099 3154 4132 4332 4731 6198 6308 6859 8264 8664 9462 12396 12616 13718 18924 19627 20577 24792 27436 29963 37848 39254 41154 54872 58881 59926 78508 82308 85739 89889 117762 119852 157016 164616 171478 179778 235524 239704 257217 342956 359556 372913 471048 514434 569297 685912 719112 745826 1028868 1118739 1138594 1491652 1629041 1707891 2057736 2237478 2277188 2983304 3258082 3415782 4474956 4554376 4887123 6516164 6831564 7085347 8949912 9774246 13032328 13663128 14170694 19548492 21256041 28341388 30951779 39096984 42512082 56682776 61903558 85024164 92855337 123807116 170048328 185710674 247614232 371421348 588083801 742842696 1176167602 1764251403 2352335204 3528502806 4704670408 7057005612 14114011224