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144200110153305 = 351271731039421123
BaseRepresentation
bin100000110010011000110100…
…010101111001111001011001
3200220120101200121111021221210
4200302120310111321321121
5122400033311144401210
61230404341024053333
742242054104366653
oct4062306425717131
9626511617437853
10144200110153305
1141a45a1798a8a8
121420ab45164249
1362600205b536b
1427874731c36d3
1511a0e98428e20
hex832634579e59

144200110153305 has 64 divisors (see below), whose sum is σ = 234106672250880. Its totient is φ = 75786920891136.

The previous prime is 144200110153303. The next prime is 144200110153349. The reversal of 144200110153305 is 503351011002441.

It is not a de Polignac number, because 144200110153305 - 21 = 144200110153303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144200110153303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342207474 + ... + 342628596.

It is an arithmetic number, because the mean of its divisors is an integer number (3657916753920).

Almost surely, 2144200110153305 is an apocalyptic number.

144200110153305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144200110153305 is a deficient number, since it is larger than the sum of its proper divisors (89906562097575).

144200110153305 is a wasteful number, since it uses less digits than its factorization.

144200110153305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422470.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 144200110153305 its reverse (503351011002441), we get a palindrome (647551121155746).

The spelling of 144200110153305 in words is "one hundred forty-four trillion, two hundred billion, one hundred ten million, one hundred fifty-three thousand, three hundred five".

Divisors: 1 3 5 15 127 173 381 519 635 865 1039 1905 2595 3117 5195 15585 21971 65913 109855 131953 179747 329565 395859 421123 539241 659765 898735 1263369 1979295 2105615 2696205 6316845 22827869 53482621 68483607 72854279 114139345 160447863 218562837 267413105 342418035 364271395 437546797 802239315 1092814185 1312640391 2187733985 6563201955 9252493433 27757480299 46262467165 55568443219 75695595881 138787401495 166705329657 227086787643 277842216095 378477979405 833526648285 1135433938215 9613340676887 28840022030661 48066703384435 144200110153305