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144302545400 = 23521374117489
BaseRepresentation
bin1000011001100100011…
…0100001100111111000
3111210110200200211110112
42012121012201213320
54331012422423100
6150143000203452
713265644253306
oct2063106414770
9453420624415
10144302545400
1156220030192
1223b72769588
13107b9092c50
146dacc19276
153b48809b35
hex21991a19f8

144302545400 has 96 divisors (see below), whose sum is σ = 361408378800. Its totient is φ = 53266636800.

The previous prime is 144302545397. The next prime is 144302545403. The reversal of 144302545400 is 4545203441.

It is an interprime number because it is at equal distance from previous prime (144302545397) and next prime (144302545403).

It is a super-2 number, since 2×1443025454002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144302545403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19264856 + ... + 19272344.

Almost surely, 2144302545400 is an apocalyptic number.

144302545400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144302545400 is an abundant number, since it is smaller than the sum of its proper divisors (217105833400).

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

144302545400 is a wasteful number, since it uses less digits than its factorization.

144302545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14929 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 144302545400 its reverse (4545203441), we get a palindrome (148847748841).

The spelling of 144302545400 in words is "one hundred forty-four billion, three hundred two million, five hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 7411 7489 14822 14978 29644 29956 37055 37445 59288 59912 74110 74890 96343 97357 148220 149780 185275 187225 192686 194714 296440 299560 370550 374450 385372 389428 481715 486785 741100 748900 770744 778856 963430 973570 1482200 1497800 1926860 1947140 2408575 2433925 3853720 3894280 4817150 4867850 9634300 9735700 19268600 19471400 55500979 111001958 222003916 277504895 444007832 555009790 721512727 1110019580 1387524475 1443025454 2220039160 2775048950 2886050908 3607563635 5550097900 5772101816 7215127270 11100195800 14430254540 18037818175 28860509080 36075636350 72151272700 144302545400