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12442104443043 = 3211237374852783
BaseRepresentation
bin1011010100001110011100…
…1101110011000010100011
31122001110020122120210102200
42311003213031303002203
53112322412214134133
642243453542344243
72422624642534542
oct265034715630243
948043218523380
1012442104443043
113a67737658470
12148b44372b083
136c3393095742
143102b5a34159
151689aae44913
hexb50e73730a3

12442104443043 has 48 divisors (see below), whose sum is σ = 20738412923904. Its totient is φ = 7114008401280.

The previous prime is 12442104443029. The next prime is 12442104443113. The reversal of 12442104443043 is 34034440124421.

12442104443043 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 210 + 4 + 4 + 430 + 4 + 3 = 666.

12442104443043 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12442104443043 - 29 = 12442104442531 is a prime.

It is a super-2 number, since 2×124421044430432 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12442104442989 and 12442104443007.

It is not an unprimeable number, because it can be changed into a prime (12442104443243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37260171 + ... + 37592612.

It is an arithmetic number, because the mean of its divisors is an integer number (432050269248).

Almost surely, 212442104443043 is an apocalyptic number.

12442104443043 is a deficient number, since it is larger than the sum of its proper divisors (8296308480861).

12442104443043 is a wasteful number, since it uses less digits than its factorization.

12442104443043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74852896 (or 74852893 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12442104443043 its reverse (34034440124421), we get a palindrome (46476544567464).

The spelling of 12442104443043 in words is "twelve trillion, four hundred forty-two billion, one hundred four million, four hundred forty-three thousand, forty-three".

Divisors: 1 3 9 11 23 33 69 73 99 207 219 253 657 759 803 1679 2277 2409 5037 7227 15111 18469 55407 166221 74852783 224558349 673675047 823380613 1721614009 2470141839 5164842027 5464253159 7410425517 15494526081 16392759477 18937754099 49178278431 56813262297 60106784749 125677822657 170439786891 180320354247 377033467971 540961062741 1131100403913 1382456049227 4147368147681 12442104443043