Search a number
-
+
14511493248 = 273713938839
BaseRepresentation
bin11011000001111001…
…11101000010000000
31101110022221020101220
431200330331002000
5214204420240443
610355543355040
71022415441330
oct154074750200
941408836356
1014511493248
1161773a572a
12298ba52a80
1314a35893c5
149b93c10c0
1559debba83
hex360f3d080

14511493248 has 128 divisors (see below), whose sum is σ = 44370816000. Its totient is φ = 4116206592.

The previous prime is 14511493237. The next prime is 14511493261. The reversal of 14511493248 is 84239411541.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 354213 + ... + 393051.

It is an arithmetic number, because the mean of its divisors is an integer number (346647000).

Almost surely, 214511493248 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 14511493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185408000).

14511493248 is an abundant number, since it is smaller than the sum of its proper divisors (29859322752).

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

14511493248 is a wasteful number, since it uses less digits than its factorization.

14511493248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39002 (or 38990 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The spelling of 14511493248 in words is "fourteen billion, five hundred eleven million, four hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 139 168 192 224 278 336 384 417 448 556 672 834 896 973 1112 1344 1668 1946 2224 2688 2919 3336 3892 4448 5838 6672 7784 8896 11676 13344 15568 17792 23352 26688 31136 38839 46704 53376 62272 77678 93408 116517 124544 155356 186816 233034 271873 310712 373632 466068 543746 621424 815619 932136 1087492 1242848 1631238 1864272 2174984 2485696 3262476 3728544 4349968 4971392 5398621 6524952 7457088 8699936 10797242 13049904 14914176 16195863 17399872 21594484 26099808 32391726 34799744 37790347 43188968 52199616 64783452 75580694 86377936 104399232 113371041 129566904 151161388 172755872 226742082 259133808 302322776 345511744 453484164 518267616 604645552 691023488 906968328 1036535232 1209291104 1813936656 2073070464 2418582208 3627873312 4837164416 7255746624 14511493248