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14226645552 = 2437139419727
BaseRepresentation
bin11010011111111100…
…10110001000110000
31100201110221110211020
431033332112020300
5213114010124202
610311410215440
71012356330510
oct151776261060
940643843736
1014226645552
116040630409
122910584580
131459565382
1498d633840
15583ea25bc
hex34ff96230

14226645552 has 160 divisors (see below), whose sum is σ = 42463948800. Its totient is φ = 4020344064.

The previous prime is 14226645527. The next prime is 14226645557. The reversal of 14226645552 is 25554662241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14226645557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19568613 + ... + 19569339.

It is an arithmetic number, because the mean of its divisors is an integer number (265399680).

Almost surely, 214226645552 is an apocalyptic number.

14226645552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14226645552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21231974400).

14226645552 is an abundant number, since it is smaller than the sum of its proper divisors (28237303248).

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

14226645552 is a wasteful number, since it uses less digits than its factorization.

14226645552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

The spelling of 14226645552 in words is "fourteen billion, two hundred twenty-six million, six hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 417 419 556 727 834 838 973 1112 1257 1454 1668 1676 1946 2181 2224 2514 2908 2919 2933 3336 3352 3892 4362 5028 5089 5816 5838 5866 6672 6704 7784 8724 8799 10056 10178 11632 11676 11732 15267 15568 17448 17598 20112 20356 23352 23464 30534 34896 35196 40712 46704 46928 58241 61068 70392 81424 101053 116482 122136 140784 174723 202106 232964 244272 303159 304613 349446 404212 407687 465928 606318 609226 698892 707371 808424 815374 913839 931856 1212636 1218452 1223061 1397784 1414742 1616848 1630748 1827678 2122113 2132291 2425272 2436904 2446122 2795568 2829484 3261496 3655356 4244226 4264582 4850544 4873808 4892244 5658968 6396873 6522992 7310712 8488452 8529164 9784488 11317936 12793746 14621424 16976904 17058328 19568976 25587492 33953808 34116656 42341207 51174984 84682414 102349968 127023621 169364828 254047242 296388449 338729656 508094484 592776898 677459312 889165347 1016188968 1185553796 1778330694 2032377936 2371107592 3556661388 4742215184 7113322776 14226645552