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144553361100 = 223521861258917
BaseRepresentation
bin1000011010100000001…
…1010011111011001100
3111211010011122120220220
42012220003103323030
54332021130023400
6150223520111340
713305111203361
oct2065003237314
9454104576826
10144553361100
1156339670795
1224022765550
131082902c9c5
146dd4268468
153b608507a0
hex21a80d3ecc

144553361100 has 72 divisors (see below), whose sum is σ = 418467414288. Its totient is φ = 38526700800.

The previous prime is 144553361059. The next prime is 144553361101. The reversal of 144553361100 is 1163355441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144553361101) 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, 428842 + ... + 687758.

Almost surely, 2144553361100 is an apocalyptic number.

144553361100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144553361100 is an abundant number, since it is smaller than the sum of its proper divisors (273914053188).

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

144553361100 is a wasteful number, since it uses less digits than its factorization.

144553361100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260795 (or 260788 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 144553361100 in words is "one hundred forty-four billion, five hundred fifty-three million, three hundred sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1861 3722 5583 7444 9305 11166 18610 22332 27915 37220 46525 55830 93050 111660 139575 186100 258917 279150 517834 558300 776751 1035668 1294585 1553502 2589170 3107004 3883755 5178340 6472925 7767510 12945850 15535020 19418775 25891700 38837550 77675100 481844537 963689074 1445533611 1927378148 2409222685 2891067222 4818445370 5782134444 7227668055 9636890740 12046113425 14455336110 24092226850 28910672220 36138340275 48184453700 72276680550 144553361100