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14249263728 = 2437174753077
BaseRepresentation
bin11010100010101001…
…01000001001110000
31100210001111121010110
431101110220021300
5213140302414403
610313535101320
71013052512640
oct152124501160
940701447113
1014249263728
116052379817
122918071840
1314611543cb
14992640520
15585e6e103
hex351528270

14249263728 has 160 divisors (see below), whose sum is σ = 45492516864. Its totient is φ = 3750137856.

The previous prime is 14249263703. The next prime is 14249263741. The reversal of 14249263728 is 82736294241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241926 + ... + 295002.

Almost surely, 214249263728 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 14249263728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22746258432).

14249263728 is an abundant number, since it is smaller than the sum of its proper divisors (31243253136).

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

14249263728 is a wasteful number, since it uses less digits than its factorization.

14249263728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53159 (or 53153 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 14249263728 in words is "fourteen billion, two hundred forty-nine million, two hundred sixty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 47 48 51 56 68 84 94 102 112 119 136 141 168 188 204 238 272 282 329 336 357 376 408 476 564 658 714 752 799 816 952 987 1128 1316 1428 1598 1904 1974 2256 2397 2632 2856 3196 3948 4794 5264 5593 5712 6392 7896 9588 11186 12784 15792 16779 19176 22372 33558 38352 44744 53077 67116 89488 106154 134232 159231 212308 268464 318462 371539 424616 636924 743078 849232 902309 1114617 1273848 1486156 1804618 2229234 2494619 2547696 2706927 2972312 3609236 4458468 4989238 5413854 5944624 6316163 7218472 7483857 8916936 9978476 10827708 12632326 14436944 14967714 17462333 17833872 18948489 19956952 21655416 25264652 29935428 34924666 37896978 39913904 42408523 43310832 50529304 52386999 59870856 69849332 75793956 84817046 101058608 104773998 119741712 127225569 139698664 151587912 169634092 209547996 254451138 279397328 296859661 303175824 339268184 419095992 508902276 593719322 678536368 838191984 890578983 1017804552 1187438644 1781157966 2035609104 2374877288 3562315932 4749754576 7124631864 14249263728