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144020441344 = 281363376829
BaseRepresentation
bin1000011000100001001…
…0011000100100000000
3111202202000212110110011
42012020102120210000
54324423213110334
6150055001514304
713255650360433
oct2061022304400
9452660773404
10144020441344
115609586a23a
1223ab41a2994
13107727bc980
146d8358381a
153b2db83564
hex2188498900

144020441344 has 72 divisors (see below), whose sum is σ = 309686215160. Its totient is φ = 66450751488.

The previous prime is 144020441293. The next prime is 144020441363. The reversal of 144020441344 is 443144020441.

It can be written as a sum of positive squares in 4 ways, for example, as 2884978944 + 141135462400 = 53712^2 + 375680^2 .

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, 21086122 + ... + 21092950.

Almost surely, 2144020441344 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 144020441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154843107580).

144020441344 is an abundant number, since it is smaller than the sum of its proper divisors (165665773816).

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

144020441344 is an equidigital number, since it uses as much as digits as its factorization.

144020441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13195 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 144020441344 its reverse (443144020441), we get a palindrome (587164461785).

The spelling of 144020441344 in words is "one hundred forty-four billion, twenty million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 6337 6829 12674 13658 25348 27316 50696 54632 82381 88777 101392 109264 164762 177554 202784 218528 329524 355108 405568 437056 659048 710216 811136 874112 1318096 1420432 1622272 1748224 2636192 2840864 5272384 5681728 10544768 11363456 21089536 22726912 43275373 86550746 173101492 346202984 562579849 692405968 1125159698 1384811936 2250319396 2769623872 4500638792 5539247744 9001277584 11078495488 18002555168 36005110336 72010220672 144020441344