Search a number
-
+
14316308928 = 263319934157
BaseRepresentation
bin11010101010101000…
…11000100111000000
31100221201122211212000
431111110120213000
5213304433341203
610324332104000
71014525421665
oct152524304700
940851584760
1014316308928
116087201879
122936605000
131471cca01c
1499b4d3a6c
1558bcb44a3
hex3555189c0

14316308928 has 112 divisors (see below), whose sum is σ = 42118544160. Its totient is φ = 4768561152.

The previous prime is 14316308911. The next prime is 14316308959. The reversal of 14316308928 is 82980361341.

14316308928 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 630 + 8 + 9 + 2 + 8 = 666.

It is a super-3 number, since 3×143163089283 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441826 + ... + 3445982.

It is an arithmetic number, because the mean of its divisors is an integer number (376058430).

Almost surely, 214316308928 is an apocalyptic number.

14316308928 is a gapful number since it is divisible by the number (18) 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 14316308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21059272080).

14316308928 is an abundant number, since it is smaller than the sum of its proper divisors (27802235232).

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

14316308928 is a wasteful number, since it uses less digits than its factorization.

14316308928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14316308928 in words is "fourteen billion, three hundred sixteen million, three hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1993 3986 4157 5979 7972 8314 11958 12471 15944 16628 17937 23916 24942 31888 33256 35874 37413 47832 49884 53811 63776 66512 71748 74826 95664 99768 107622 112239 127552 133024 143496 149652 191328 199536 215244 224478 266048 286992 299304 382656 399072 430488 448956 573984 598608 798144 860976 897912 1147968 1197216 1721952 1795824 2394432 3443904 3591648 7183296 8284901 16569802 24854703 33139604 49709406 66279208 74564109 99418812 132558416 149128218 198837624 223692327 265116832 298256436 397675248 447384654 530233664 596512872 795350496 894769308 1193025744 1590700992 1789538616 2386051488 3579077232 4772102976 7158154464 14316308928