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11442041414424 = 23321737252650623
BaseRepresentation
bin1010011010000000111011…
…0100000110001100011000
31111111211220112120011221100
42212200032310012030120
52444431300100230144
640200222401111400
72260442311205565
oct246401664061430
944454815504840
1011442041414424
1137115a70a3205
121349664628560
1364cc97a2c57a
142b7b250a186c
1514c978dcd269
hexa680ed06318

11442041414424 has 96 divisors (see below), whose sum is σ = 33698540229120. Its totient is φ = 3492642198528.

The previous prime is 11442041414423. The next prime is 11442041414471. The reversal of 11442041414424 is 42441414024411.

11442041414424 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 204 + 1 + 4 + 1 + 442 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442041414423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 126280024 + ... + 126370599.

It is an arithmetic number, because the mean of its divisors is an integer number (351026460720).

Almost surely, 211442041414424 is an apocalyptic number.

It is an amenable number.

11442041414424 is an abundant number, since it is smaller than the sum of its proper divisors (22256498814696).

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

11442041414424 is a wasteful number, since it uses less digits than its factorization.

11442041414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252650689 (or 252650682 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 11442041414424 its reverse (42441414024411), we get a palindrome (53883455438835).

The spelling of 11442041414424 in words is "eleven trillion, four hundred forty-two billion, forty-one million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 37 51 68 72 74 102 111 136 148 153 204 222 296 306 333 408 444 612 629 666 888 1224 1258 1332 1887 2516 2664 3774 5032 5661 7548 11322 15096 22644 45288 252650623 505301246 757951869 1010602492 1515903738 2021204984 2273855607 3031807476 4295060591 4547711214 6063614952 8590121182 9095422428 9348073051 12885181773 17180242364 18190844856 18696146102 25770363546 28044219153 34360484728 37392292204 38655545319 51540727092 56088438306 74784584408 77311090638 84132657459 103081454184 112176876612 154622181276 158917241867 168265314918 224353753224 309244362552 317834483734 336530629836 476751725601 635668967468 673061259672 953503451202 1271337934936 1430255176803 1907006902404 2860510353606 3814013804808 5721020707212 11442041414424