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144979007488 = 211722694457
BaseRepresentation
bin1000011100000101101…
…1000001100000000000
3111212012211120122222221
42013001123001200000
54333404111214423
6150334043140424
713321500142060
oct2070133014000
9455184518887
10144979007488
1156537963167
1224121214714
1310896280783
1470349c73a0
153b87dcce5d
hex21c16c1800

144979007488 has 96 divisors (see below), whose sum is σ = 331520061600. Its totient is φ = 62092541952.

The previous prime is 144979007483. The next prime is 144979007513. The reversal of 144979007488 is 884700979441.

It is a super-2 number, since 2×1449790074882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144979007483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32526156 + ... + 32530612.

It is an arithmetic number, because the mean of its divisors is an integer number (3453333975).

Almost surely, 2144979007488 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 144979007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165760030800).

144979007488 is an abundant number, since it is smaller than the sum of its proper divisors (186541054112).

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

144979007488 is an equidigital number, since it uses as much as digits as its factorization.

144979007488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6735 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 144979007488 in words is "one hundred forty-four billion, nine hundred seventy-nine million, seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2269 3584 4457 4538 7168 8914 9076 14336 15883 17828 18152 31199 31766 35656 36304 62398 63532 71312 72608 124796 127064 142624 145216 249592 254128 285248 290432 499184 508256 570496 580864 998368 1016512 1140992 1161728 1996736 2033024 2281984 2323456 3993472 4066048 4563968 4646912 7986944 8132096 9127936 10112933 15973888 16264192 20225866 31947776 32528384 40451732 63895552 70790531 80903464 141581062 161806928 283162124 323613856 566324248 647227712 1132648496 1294455424 2265296992 2588910848 4530593984 5177821696 9061187968 10355643392 18122375936 20711286784 36244751872 72489503744 144979007488