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14288480536 = 231121031391031
BaseRepresentation
bin11010100111010100…
…01110100100011000
31100212210022000110211
431103222032210120
5213230322334121
610321455420504
71014040036441
oct152352164430
940783260424
1014288480536
116072524a00
122929224734
131469305615
1499792c2c8
15589618ce1
hex353a8e918

14288480536 has 96 divisors (see below), whose sum is σ = 29976710400. Its totient is φ = 6379243200.

The previous prime is 14288480533. The next prime is 14288480543. The reversal of 14288480536 is 63508488241.

It is a self number, because there is not a number n which added to its sum of digits gives 14288480536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14288480533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13858341 + ... + 13859371.

It is an arithmetic number, because the mean of its divisors is an integer number (312257400).

Almost surely, 214288480536 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 14288480536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988355200).

14288480536 is an abundant number, since it is smaller than the sum of its proper divisors (15688229864).

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

14288480536 is a wasteful number, since it uses less digits than its factorization.

14288480536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 14288480536 in words is "fourteen billion, two hundred eighty-eight million, four hundred eighty thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 103 121 139 206 242 278 412 484 556 824 968 1031 1112 1133 1529 2062 2266 3058 4124 4532 6116 8248 9064 11341 12232 12463 14317 16819 22682 24926 28634 33638 45364 49852 57268 67276 90728 99704 106193 114536 124751 134552 143309 157487 212386 249502 286618 314974 424772 499004 573236 629948 849544 998008 1146472 1168123 1259896 1576399 1732357 2336246 3152798 3464714 4672492 6305596 6929428 9344984 12611192 12849353 13858856 14760827 17340389 25698706 29521654 34680778 51397412 59043308 69361556 102794824 118086616 138723112 162369097 324738194 649476388 1298952776 1786060067 3572120134 7144240268 14288480536