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42154262144 = 271917333167
BaseRepresentation
bin100111010000100101…
…101111111010000000
311000210210200101121022
4213100211233322000
51142312442342034
631210532045012
73021423213311
oct472045577200
9130723611538
1042154262144
1116971a89085
128205463768
133c8a48b7a7
14207c740608
15116abbbb2e
hex9d096fe80

42154262144 has 32 divisors (see below), whose sum is σ = 88399156800. Its totient is φ = 19967807232.

The previous prime is 42154262141. The next prime is 42154262159. The reversal of 42154262144 is 44126245124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (42154262141) 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 3 ways as a sum of consecutive naturals, for example, 8664152 + ... + 8669015.

It is an arithmetic number, because the mean of its divisors is an integer number (2762473650).

Almost surely, 242154262144 is an apocalyptic number.

It is an amenable number.

42154262144 is an abundant number, since it is smaller than the sum of its proper divisors (46244894656).

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

42154262144 is a wasteful number, since it uses less digits than its factorization.

42154262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17333200 (or 17333188 counting only the distinct ones).

The product of its digits is 61440, while the sum is 35.

The spelling of 42154262144 in words is "forty-two billion, one hundred fifty-four million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 17333167 34666334 69332668 138665336 277330672 329330173 554661344 658660346 1109322688 1317320692 2218645376 2634641384 5269282768 10538565536 21077131072 42154262144