Search a number
-
+
14001527808 = 2103556269
BaseRepresentation
bin11010000101000111…
…00101110000000000
31100010210100022100000
431002203211300000
5212133342342213
610233205200000
71003654010532
oct150243456000
940123308300
1014001527808
115a35552094
122869100000
131421a253c8
1496b793852
1556e335c73
hex3428e5c00

14001527808 has 132 divisors (see below), whose sum is σ = 41927227160. Its totient is φ = 4667092992.

The previous prime is 14001527803. The next prime is 14001527819. The reversal of 14001527808 is 80872510041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001527803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220698 + ... + 276966.

Almost surely, 214001527808 is an apocalyptic number.

14001527808 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 14001527808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20963613580).

14001527808 is an abundant number, since it is smaller than the sum of its proper divisors (27925699352).

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

14001527808 is an frugal number, since it uses more digits than its factorization.

14001527808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56304 (or 56274 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 14001527808 in words is "fourteen billion, one million, five hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 56269 62208 82944 112538 124416 168807 225076 248832 337614 450152 506421 675228 900304 1012842 1350456 1519263 1800608 2025684 2700912 3038526 3601216 4051368 4557789 5401824 6077052 7202432 8102736 9115578 10803648 12154104 13673367 14404864 16205472 18231156 21607296 24308208 27346734 28809728 32410944 36462312 43214592 48616416 54693468 57619456 64821888 72924624 86429184 97232832 109386936 129643776 145849248 172858368 194465664 218773872 259287552 291698496 388931328 437547744 518575104 583396992 777862656 875095488 1166793984 1555725312 1750190976 2333587968 3500381952 4667175936 7000763904 14001527808