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144641341536 = 25317113784321
BaseRepresentation
bin1000011010110101001…
…0111011100001100000
3111211100022012110101120
42012231102323201200
54332211140412121
6150240341532240
713310230055166
oct2065522734140
9454308173346
10144641341536
11563842a279a
1224048114080
1310841325633
147001c0b236
153b6842dbc6
hex21ad4bb860

144641341536 has 96 divisors (see below), whose sum is σ = 405576043488. Its totient is φ = 44976046080.

The previous prime is 144641341501. The next prime is 144641341541. The reversal of 144641341536 is 635143146441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1446413415362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207745 + ... + 576576.

It is an arithmetic number, because the mean of its divisors is an integer number (4224750453).

Almost surely, 2144641341536 is an apocalyptic number.

144641341536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144641341536 is an abundant number, since it is smaller than the sum of its proper divisors (260934701952).

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

144641341536 is a wasteful number, since it uses less digits than its factorization.

144641341536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784464 (or 784456 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

Adding to 144641341536 its reverse (635143146441), we get a palindrome (779784487977).

The spelling of 144641341536 in words is "one hundred forty-four billion, six hundred forty-one million, three hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 113 136 204 226 272 339 408 452 544 678 816 904 1356 1632 1808 1921 2712 3616 3842 5424 5763 7684 10848 11526 15368 23052 30736 46104 61472 92208 184416 784321 1568642 2352963 3137284 4705926 6274568 9411852 12549136 13333457 18823704 25098272 26666914 37647408 40000371 53333828 75294816 80000742 88628273 106667656 160001484 177256546 213335312 265884819 320002968 354513092 426670624 531769638 640005936 709026184 1063539276 1280011872 1418052368 1506680641 2127078552 2836104736 3013361282 4254157104 4520041923 6026722564 8508314208 9040083846 12053445128 18080167692 24106890256 36160335384 48213780512 72320670768 144641341536