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144302542434224 = 24173473931388931
BaseRepresentation
bin100000110011111000001101…
…110010000010111110110000
3200220221012002021220022100222
4200303320031302002332300
5122403223101330343344
61230523401155232212
742252341344410326
oct4063701562027660
9626835067808328
10144302542434224
1141a85401276619
12142269715a8668
136269895ca3985
14278c3cd2a7d16
1511a3990e645ee
hex833e0dc82fb0

144302542434224 has 80 divisors (see below), whose sum is σ = 296961828690816. Its totient is φ = 67693982131200.

The previous prime is 144302542434217. The next prime is 144302542434229. The reversal of 144302542434224 is 422434245203441.

It is not an unprimeable number, because it can be changed into a prime (144302542434229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370829039 + ... + 371217969.

Almost surely, 2144302542434224 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 144302542434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148480914345408).

144302542434224 is an abundant number, since it is smaller than the sum of its proper divisors (152659286256592).

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

144302542434224 is a wasteful number, since it uses less digits than its factorization.

144302542434224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393234 (or 393228 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 44.

Adding to 144302542434224 its reverse (422434245203441), we get a palindrome (566736787637665).

The spelling of 144302542434224 in words is "one hundred forty-four trillion, three hundred two billion, five hundred forty-two million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 347 694 1388 2776 3931 5552 5899 7862 11798 15724 23596 31448 47192 62896 66827 94384 133654 267308 388931 534616 777862 1069232 1364057 1555724 2728114 3111448 5456228 6222896 6611827 10912456 13223654 21824912 23188969 26447308 46377938 52894616 92755876 105789232 134959057 185511752 269918114 371023504 539836228 1079672456 1528887761 2159344912 2294303969 3057775522 4588607938 6115551044 9177215876 12231102088 18354431752 24462204176 25991091937 36708863504 51982183874 103964367748 207928735496 415857470992 530524053067 1061048106134 2122096212268 4244192424536 8488384849072 9018908902139 18037817804278 36075635608556 72151271217112 144302542434224