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144026665216 = 287599134177
BaseRepresentation
bin1000011000100010101…
…0001000000100000000
3111202202110120122222221
42012020222020010000
54324431311241331
6150055343140424
713256054312020
oct2061052100400
9452673518887
10144026665216
1156099330335
1223ab62a4714
1310773b8b835
146d84323a80
153b2e4b2711
hex2188a88100

144026665216 has 72 divisors (see below), whose sum is σ = 329111798400. Its totient is φ = 61622206464.

The previous prime is 144026665187. The next prime is 144026665231. The reversal of 144026665216 is 612566620441.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006320 + ... + 1140496.

It is an arithmetic number, because the mean of its divisors is an integer number (4570997200).

Almost surely, 2144026665216 is an apocalyptic number.

144026665216 is a gapful number since it is divisible by the number (16) 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 144026665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164555899200).

144026665216 is an abundant number, since it is smaller than the sum of its proper divisors (185085133184).

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

144026665216 is an equidigital number, since it uses as much as digits as its factorization.

144026665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134799 (or 134785 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 144026665216 in words is "one hundred forty-four billion, twenty-six million, six hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 599 896 1198 1792 2396 4193 4792 8386 9584 16772 19168 33544 38336 67088 76672 134176 134177 153344 268352 268354 536704 536708 939239 1073408 1073416 1878478 2146832 3756956 4293664 7513912 8587328 15027824 17174656 30055648 34349312 60111296 80372023 120222592 160744046 240445184 321488092 562604161 642976184 1125208322 1285952368 2250416644 2571904736 4500833288 5143809472 9001666576 10287618944 18003333152 20575237888 36006666304 72013332608 144026665216