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42202402410144 = 2531791192454281
BaseRepresentation
bin10011001100010000000110…
…01101000100111010100000
312112102111202222121121221110
421212020003031010322200
521012421010004111034
6225431303243223320
711614010605461024
oct1146100315047240
9175374688547843
1042202402410144
11124a0a35a45389
124897137217b40
131a71891a9b962
14a5c870136384
154d2bac01dde9
hex266203344ea0

42202402410144 has 48 divisors (see below), whose sum is σ = 110781969943680. Its totient is φ = 14067383201280.

The previous prime is 42202402410137. The next prime is 42202402410169. The reversal of 42202402410144 is 44101420420224.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 15968284 + ... + 18422564.

It is an arithmetic number, because the mean of its divisors is an integer number (2307957707160).

Almost surely, 242202402410144 is an apocalyptic number.

It is an amenable number.

42202402410144 is an abundant number, since it is smaller than the sum of its proper divisors (68579567533536).

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

42202402410144 is a wasteful number, since it uses less digits than its factorization.

42202402410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633413 (or 2633405 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 42202402410144 its reverse (44101420420224), we get a palindrome (86303822830368).

The spelling of 42202402410144 in words is "forty-two trillion, two hundred two billion, four hundred two million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179119 358238 537357 716476 1074714 1432952 2149428 2454281 2865904 4298856 4908562 5731808 7362843 8597712 9817124 14725686 17195424 19634248 29451372 39268496 58902744 78536992 117805488 235610976 439608358439 879216716878 1318825075317 1758433433756 2637650150634 3516866867512 5275300301268 7033733735024 10550600602536 14067467470048 21101201205072 42202402410144