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144641341755 = 325101313732311
BaseRepresentation
bin1000011010110101001…
…0111011100100111011
3111211100022012110200200
42012231102323210323
54332211140414010
6150240341533243
713310230055631
oct2065522734473
9454308173620
10144641341755
11563842a2979
1224048114223
1310841325771
147001c0b351
153b6842dcc0
hex21ad4bb93b

144641341755 has 48 divisors (see below), whose sum is σ = 251250607296. Its totient is φ = 76976444160.

The previous prime is 144641341753. The next prime is 144641341771. The reversal of 144641341755 is 557143146441.

144641341755 is a `hidden beast` number, since 1 + 4 + 464 + 13 + 4 + 175 + 5 = 666.

It is not a de Polignac number, because 144641341755 - 21 = 144641341753 is a prime.

It is a super-2 number, since 2×1446413417552 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 144641341755.

It is not an unprimeable number, because it can be changed into a prime (144641341753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62587050 + ... + 62589360.

It is an arithmetic number, because the mean of its divisors is an integer number (5234387652).

Almost surely, 2144641341755 is an apocalyptic number.

144641341755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144641341755 is a deficient number, since it is larger than the sum of its proper divisors (106609265541).

144641341755 is a wasteful number, since it uses less digits than its factorization.

144641341755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4705 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 144641341755 in words is "one hundred forty-four billion, six hundred forty-one million, three hundred forty-one thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 45 1013 1373 2311 3039 4119 5065 6865 6933 9117 11555 12357 15195 20595 20799 34665 45585 61785 103995 1390849 2341043 3173003 4172547 6954245 7023129 9519009 11705215 12517641 15865015 20862735 21069387 28557027 35115645 47595045 62588205 105346935 142785135 3214252039 9642756117 16071260195 28928268351 48213780585 144641341755