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144238777344 = 21032102115329
BaseRepresentation
bin1000011001010101001…
…1010001010000000000
3111210022020201002010200
42012111103101100000
54330400111333334
6150132401325200
713264241243514
oct2062523212000
9453266632120
10144238777344
1156198036312
1223b55336800
13107a8ac6b7c
146da457a144
153b42e10799
hex21954d1400

144238777344 has 132 divisors (see below), whose sum is σ = 416921455860. Its totient is φ = 48029368320.

The previous prime is 144238777313. The next prime is 144238777429. The reversal of 144238777344 is 443777832441.

It can be written as a sum of positive squares in 2 ways, for example, as 44483871744 + 99754905600 = 210912^2 + 315840^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9401872 + ... + 9417200.

Almost surely, 2144238777344 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 144238777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208460727930).

144238777344 is an abundant number, since it is smaller than the sum of its proper divisors (272682678516).

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

144238777344 is a wasteful number, since it uses less digits than its factorization.

144238777344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16376 (or 16355 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 54.

The spelling of 144238777344 in words is "one hundred forty-four billion, two hundred thirty-eight million, seven hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1021 1024 1152 1536 2042 2304 3063 3072 4084 4608 6126 8168 9189 9216 12252 15329 16336 18378 24504 30658 32672 36756 45987 49008 61316 65344 73512 91974 98016 122632 130688 137961 147024 183948 196032 245264 261376 275922 294048 367896 392064 490528 522752 551844 588096 735792 784128 981056 1045504 1103688 1176192 1471584 1568256 1962112 2207376 2352384 2943168 3136512 3924224 4414752 4704768 5886336 7848448 8829504 9409536 11772672 15650909 15696896 17659008 23545344 31301818 35318016 46952727 47090688 62603636 70636032 93905454 125207272 140858181 141272064 187810908 250414544 281716362 375621816 500829088 563432724 751243632 1001658176 1126865448 1502487264 2003316352 2253730896 3004974528 4006632704 4507461792 6009949056 8013265408 9014923584 12019898112 16026530816 18029847168 24039796224 36059694336 48079592448 72119388672 144238777344