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42015556242 = 23211219290889
BaseRepresentation
bin100111001000010100…
…101000001010010010
311000110010200101212200
4213020110220022102
51142021440244432
631145055104030
73015120223032
oct471024501222
9130403611780
1042015556242
1116900760300
128186b12016
133c678154aa
1420681558c2
15115d91da7c
hex9c8528292

42015556242 has 36 divisors (see below), whose sum is σ = 100061846430. Its totient is φ = 12731986080.

The previous prime is 42015556211. The next prime is 42015556277. The reversal of 42015556242 is 24265551024.

42015556242 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 55 + 562 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21342580281 + 20672975961 = 146091^2 + 143781^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42015556197 and 42015556206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9643267 + ... + 9647622.

Almost surely, 242015556242 is an apocalyptic number.

42015556242 is an abundant number, since it is smaller than the sum of its proper divisors (58046290188).

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

42015556242 is a wasteful number, since it uses less digits than its factorization.

42015556242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19290919 (or 19290905 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 42015556242 in words is "forty-two billion, fifteen million, five hundred fifty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 19290889 38581778 57872667 115745334 173618001 212199779 347236002 424399558 636599337 1273198674 1909798011 2334197569 3819596022 4668395138 7002592707 14005185414 21007778121 42015556242