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14004453504 = 273711034987
BaseRepresentation
bin11010000101011101…
…10000000010000000
31100010222211221122010
431002232300002000
5212140120003004
610233352012520
71004020614336
oct150256600200
940128757563
1014004453504
115a37170218
12286a091140
13142250aca2
1496bd15b56
1556e712a89
hex342bb0080

14004453504 has 128 divisors (see below), whose sum is σ = 38097146880. Its totient is φ = 4556805120.

The previous prime is 14004453499. The next prime is 14004453523. The reversal of 14004453504 is 40535440041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×140044535042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805699 + ... + 2810685.

It is an arithmetic number, because the mean of its divisors is an integer number (297633960).

Almost surely, 214004453504 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 14004453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048573440).

14004453504 is an abundant number, since it is smaller than the sum of its proper divisors (24092693376).

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

14004453504 is a wasteful number, since it uses less digits than its factorization.

14004453504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 14004453504 its reverse (40535440041), we get a palindrome (54539893545).

The spelling of 14004453504 in words is "fourteen billion, four million, four hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 103 128 142 192 206 213 284 309 384 412 426 568 618 824 852 1136 1236 1648 1704 2272 2472 3296 3408 4544 4944 4987 6592 6816 7313 9088 9888 9974 13184 13632 14626 14961 19776 19948 21939 27264 29252 29922 39552 39896 43878 58504 59844 79792 87756 117008 119688 159584 175512 234016 239376 319168 351024 354077 468032 478752 513661 638336 702048 708154 936064 957504 1027322 1062231 1404096 1416308 1540983 1915008 2054644 2124462 2808192 2832616 3081966 4109288 4248924 5665232 6163932 8218576 8497848 11330464 12327864 16437152 16995696 22660928 24655728 32874304 33991392 36469931 45321856 49311456 65748608 67982784 72939862 98622912 109409793 135965568 145879724 197245824 218819586 291759448 437639172 583518896 875278344 1167037792 1750556688 2334075584 3501113376 4668151168 7002226752 14004453504