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2144727133540 = 2251737217169493
BaseRepresentation
bin11111001101011011101…
…100101110110101100100
321121000220201110222212021
4133031123230232311210
5240114400121233130
64321135105432524
7310644223561555
oct37153354566544
97530821428767
102144727133540
11757634610362
122a77b493b744
131273295974b4
1475b3bc3032c
153abc8c0637a
hex1f35bb2ed64

2144727133540 has 48 divisors (see below), whose sum is σ = 4769020135152. Its totient is φ = 807400226816.

The previous prime is 2144727133529. The next prime is 2144727133543. The reversal of 2144727133540 is 453317274412.

It can be written as a sum of positive squares in 8 ways, for example, as 174302910016 + 1970424223524 = 417496^2 + 1403718^2 .

It is not an unprimeable number, because it can be changed into a prime (2144727133543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12569034 + ... + 12738526.

It is an arithmetic number, because the mean of its divisors is an integer number (99354586149).

Almost surely, 22144727133540 is an apocalyptic number.

2144727133540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144727133540 is an abundant number, since it is smaller than the sum of its proper divisors (2624293001612).

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

2144727133540 is a wasteful number, since it uses less digits than its factorization.

2144727133540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206736 (or 206734 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 2144727133540 in words is "two trillion, one hundred forty-four billion, seven hundred twenty-seven million, one hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 37217 74434 148868 169493 186085 338986 372170 632689 677972 744340 847465 1265378 1694930 2530756 2881381 3163445 3389860 5762762 6326890 11525524 12653780 14406905 28813810 57627620 6308020981 12616041962 25232083924 31540104905 63080209810 107236356677 126160419620 214472713354 428945426708 536181783385 1072363566770 2144727133540