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14181294192 = 24313177318313
BaseRepresentation
bin11010011010100010…
…10110000001110000
31100121022121101110020
431031101112001300
5213020402403232
610303110203440
71011266004012
oct151521260160
940538541406
1014181294192
116017a7524a
1228b9353580
131450046b50
149875ca1b2
1557eee4e2c
hex34d456070

14181294192 has 160 divisors (see below), whose sum is σ = 42348414528. Its totient is φ = 4050321408.

The previous prime is 14181294139. The next prime is 14181294247. The reversal of 14181294192 is 29149218141.

It is a super-2 number, since 2×141812941922 (a number of 21 digits) contains 22 as substring.

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, 765228 + ... + 783540.

Almost surely, 214181294192 is an apocalyptic number.

14181294192 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 14181294192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21174207264).

14181294192 is an abundant number, since it is smaller than the sum of its proper divisors (28167120336).

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

14181294192 is a wasteful number, since it uses less digits than its factorization.

14181294192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18427 (or 18421 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The spelling of 14181294192 in words is "fourteen billion, one hundred eighty-one million, two hundred ninety-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 73 78 102 104 136 146 156 204 208 219 221 272 292 312 408 438 442 584 624 663 816 876 884 949 1168 1241 1326 1752 1768 1898 2482 2652 2847 3504 3536 3723 3796 4964 5304 5694 7446 7592 9928 10608 11388 14892 15184 16133 18313 19856 22776 29784 32266 36626 45552 48399 54939 59568 64532 73252 96798 109878 129064 146504 193596 219756 238069 258128 293008 311321 387192 439512 476138 622642 714207 774384 879024 933963 952276 1245284 1336849 1428414 1867926 1904552 2490568 2673698 2856828 3735852 3809104 4010547 4047173 4981136 5347396 5713656 7471704 8021094 8094346 10694792 11427312 12141519 14943408 16042188 16188692 17379037 21389584 22726433 24283038 32084376 32377384 34758074 45452866 48566076 52137111 64168752 64754768 68179299 69516148 90905732 97132152 104274222 136358598 139032296 181811464 194264304 208548444 272717196 278064592 295443629 363622928 417096888 545434392 590887258 834193776 886330887 1090868784 1181774516 1772661774 2363549032 3545323548 4727098064 7090647096 14181294192