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14403645693144 = 2332442145250087
BaseRepresentation
bin1101000110011001110000…
…1011110101110011011000
31212222222022211111201120100
43101212130023311303120
53341442131244140034
650344535443055400
73014425524212421
oct321463413656330
955888284451510
1014403645693144
114653608545224
121747633971560
13806347980366
1437b1d68b6648
1519ea128d2099
hexd199c2f5cd8

14403645693144 has 48 divisors (see below), whose sum is σ = 39018698381520. Its totient is φ = 4800129122880.

The previous prime is 14403645693131. The next prime is 14403645693187. The reversal of 14403645693144 is 44139654630441.

14403645693144 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 3 + 6 + 4 + 569 + 31 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22306732 + ... + 22943355.

It is an arithmetic number, because the mean of its divisors is an integer number (812889549615).

Almost surely, 214403645693144 is an apocalyptic number.

It is an amenable number.

14403645693144 is an abundant number, since it is smaller than the sum of its proper divisors (24615052688376).

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

14403645693144 is a wasteful number, since it uses less digits than its factorization.

14403645693144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45254520 (or 45254513 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 14403645693144 in words is "fourteen trillion, four hundred three billion, six hundred forty-five million, six hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4421 8842 13263 17684 26526 35368 39789 53052 79578 106104 159156 318312 45250087 90500174 135750261 181000348 271500522 362000696 407250783 543001044 814501566 1086002088 1629003132 3258006264 200050634627 400101269254 600151903881 800202538508 1200303807762 1600405077016 1800455711643 2400607615524 3600911423286 4801215231048 7201822846572 14403645693144