Search a number
-
+
144719568896 = 21372523709
BaseRepresentation
bin1000011011000111110…
…1010110000000000000
3111211112202101211011012
42012301331112000000
54332341202201041
6150252214340052
713312200016250
oct2066175260000
9454482354135
10144719568896
1156414473101
122406a35a628
13108545b4c06
14700c371960
153b702323eb
hex21b1f56000

144719568896 has 56 divisors (see below), whose sum is σ = 330767527440. Its totient is φ = 62022647808.

The previous prime is 144719568893. The next prime is 144719568913. The reversal of 144719568896 is 698865917441.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1447195688963 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144719568893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1204511 + ... + 1319198.

It is an arithmetic number, because the mean of its divisors is an integer number (5906562990).

Almost surely, 2144719568896 is an apocalyptic number.

144719568896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144719568896 is an abundant number, since it is smaller than the sum of its proper divisors (186047958544).

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

144719568896 is an frugal number, since it uses more digits than its factorization.

144719568896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523742 (or 2523718 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 68.

The spelling of 144719568896 in words is "one hundred forty-four billion, seven hundred nineteen million, five hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 14336 28672 57344 2523709 5047418 10094836 17665963 20189672 35331926 40379344 70663852 80758688 141327704 161517376 282655408 323034752 565310816 646069504 1130621632 1292139008 2261243264 2584278016 4522486528 5168556032 9044973056 10337112064 18089946112 20674224128 36179892224 72359784448 144719568896