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13447500144 = 2431349143891
BaseRepresentation
bin11001000011000100…
…01001000101110000
31021201011211210020220
430201202021011300
5210020030001034
610102214333040
7654145602531
oct144142110560
937634753226
1013447500144
115780843991
12273365a180
1313640048a0
14917d76688
1553a899749
hex321889170

13447500144 has 80 divisors (see below), whose sum is σ = 37488683904. Its totient is φ = 4129171200.

The previous prime is 13447500083. The next prime is 13447500167. The reversal of 13447500144 is 44100574431.

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, 284439 + ... + 328329.

Almost surely, 213447500144 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 13447500144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18744341952).

13447500144 is an abundant number, since it is smaller than the sum of its proper divisors (24041183760).

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

13447500144 is a wasteful number, since it uses less digits than its factorization.

13447500144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44406 (or 44400 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

It can be divided in two parts, 13447 and 500144, that added together give a triangular number (513591 = T1013).

The spelling of 13447500144 in words is "thirteen billion, four hundred forty-seven million, five hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 491 624 982 1473 1964 2946 3928 5892 6383 7856 11784 12766 19149 23568 25532 38298 43891 51064 76596 87782 102128 131673 153192 175564 263346 306384 351128 526692 570583 702256 1053384 1141166 1711749 2106768 2282332 3423498 4564664 6846996 9129328 13693992 21550481 27387984 43100962 64651443 86201924 129302886 172403848 258605772 280156253 344807696 517211544 560312506 840468759 1034423088 1120625012 1680937518 2241250024 3361875036 4482500048 6723750072 13447500144