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144747720132075 = 32521779479019509
BaseRepresentation
bin100000111010010110110100…
…011100001100010111101011
3200222111202011111021112001100
4200322112310130030113223
5122433021312323211300
61231504103514252443
742326451304406214
oct4072266434142753
9628452144245040
10144747720132075
11421371884a3a95
12142990b2727123
13629c86129c1b8
1427a5b8155440b
1511b0348b9c700
hex83a5b470c5eb

144747720132075 has 72 divisors (see below), whose sum is σ = 277984602043200. Its totient is φ = 71737961518080.

The previous prime is 144747720132049. The next prime is 144747720132083. The reversal of 144747720132075 is 570231027747441.

144747720132075 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 47 + 7 + 201 + 320 + 75 = 666.

144747720132075 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144747720132075 - 27 = 144747720131947 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239207580 + ... + 239811929.

It is an arithmetic number, because the mean of its divisors is an integer number (3860897250600).

Almost surely, 2144747720132075 is an apocalyptic number.

144747720132075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144747720132075 is a deficient number, since it is larger than the sum of its proper divisors (133236881911125).

144747720132075 is a wasteful number, since it uses less digits than its factorization.

144747720132075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479019621 (or 479019613 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 144747720132075 in words is "one hundred forty-four trillion, seven hundred forty-seven billion, seven hundred twenty million, one hundred thirty-two thousand, seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 79 85 153 225 237 255 395 425 711 765 1185 1275 1343 1975 3555 3825 4029 5925 6715 12087 17775 20145 33575 60435 100725 302175 479019509 1437058527 2395097545 4311175581 7185292635 8143331653 11975487725 21555877905 24429994959 35926463175 37842541211 40716658265 73289984877 107779389525 113527623633 122149974795 189212706055 203583291325 340582870899 366449924385 567638118165 610749873975 643323200587 946063530275 1702914354495 1832249621925 1929969601761 2838190590825 3216616002935 5789908805283 8514571772475 9649848008805 16083080014675 28949544026415 48249240044025 144747720132075