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1354144202775 = 325272139448067
BaseRepresentation
bin10011101101001001010…
…010001100000000010111
311210110021122012221022200
4103231021102030000113
5134141241403442100
62514030225455543
7166555645544100
oct23551122140027
94713248187280
101354144202775
11482320111111
1219a5381a15b3
139a906607b50
14497804493a7
1525357526e00
hex13b4948c017

1354144202775 has 108 divisors (see below), whose sum is σ = 3038441980392. Its totient is φ = 571419031680.

The previous prime is 1354144202753. The next prime is 1354144202783. The reversal of 1354144202775 is 5772024414531.

1354144202775 is a `hidden beast` number, since 1 + 354 + 1 + 4 + 4 + 20 + 277 + 5 = 666.

It is not a de Polignac number, because 1354144202775 - 27 = 1354144202647 is a prime.

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 1354144202775.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 4580709 + ... + 4867358.

Almost surely, 21354144202775 is an apocalyptic number.

1354144202775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1354144202775 is an abundant number, since it is smaller than the sum of its proper divisors (1684297777617).

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

1354144202775 is a wasteful number, since it uses less digits than its factorization.

1354144202775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448110 (or 9448095 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 1354144202775 in words is "one trillion, three hundred fifty-four billion, one hundred forty-four million, two hundred two thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 49 63 65 75 91 105 117 147 175 195 225 245 273 315 325 441 455 525 585 637 735 819 975 1225 1365 1575 1911 2205 2275 2925 3185 3675 4095 5733 6825 9555 11025 15925 20475 28665 47775 143325 9448067 28344201 47240335 66136469 85032603 122824871 141721005 198409407 236201675 330682345 368474613 425163015 462955283 595228221 614124355 708605025 859774097 992047035 1105423839 1388865849 1653411725 1842373065 2125815075 2314776415 2579322291 2976141105 3070621775 4166597547 4298870485 4960235175 5527119195 6018418679 6944329245 7737966873 9211865325 11573882075 12896611455 14880705525 18055256037 20832987735 21494352425 27635595975 30092093395 34721646225 38689834365 54165768111 64483057275 90276280185 104164938675 150460466975 193449171825 270828840555 451381400925 1354144202775