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11024314000144 = 241740530566177
BaseRepresentation
bin1010000001101100110001…
…0100011110001100010000
31110000220200101201212020021
42200123030110132030100
52421110243341001034
635240255552553224
72215323530603164
oct240331424361420
943026611655207
1011024314000144
113570426939105
1212a0704552814
1361c7857b06a3
142a181878aca4
15141b7b0226b4
hexa06cc51e310

11024314000144 has 20 divisors (see below), whose sum is σ = 22616055927324. Its totient is φ = 5187912470528.

The previous prime is 11024314000129. The next prime is 11024314000151. The reversal of 11024314000144 is 44100041342011.

It can be written as a sum of positive squares in 2 ways, for example, as 3401855625744 + 7622458374400 = 1844412^2 + 2760880^2 .

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 3 ways as a sum of consecutive naturals, for example, 20265282817 + ... + 20265283360.

Almost surely, 211024314000144 is an apocalyptic number.

It is an amenable number.

11024314000144 is an abundant number, since it is smaller than the sum of its proper divisors (11591741927180).

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

11024314000144 is a wasteful number, since it uses less digits than its factorization.

11024314000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40530566202 (or 40530566196 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 11024314000144 its reverse (44100041342011), we get a palindrome (55124355342155).

The spelling of 11024314000144 in words is "eleven trillion, twenty-four billion, three hundred fourteen million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 34 68 136 272 40530566177 81061132354 162122264708 324244529416 648489058832 689019625009 1378039250018 2756078500036 5512157000072 11024314000144