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142834824377120 = 2554121773601277
BaseRepresentation
bin100000011110100001010010…
…111101111111001100100000
3200201201212122111102210012002
4200132201102331333030200
5122210201210020031440
61223441225031423132
742041322046644341
oct4036412275771440
9621655574383162
10142834824377120
11415699aa734787
121402a419824aa8
13619135c944635
14273b3571740c8
15117a6dcbea115
hex81e852f7f320

142834824377120 has 48 divisors (see below), whose sum is σ = 345677693889528. Its totient is φ = 55740419266560.

The previous prime is 142834824377087. The next prime is 142834824377123. The reversal of 142834824377120 is 21773428438241.

It can be written as a sum of positive squares in 4 ways, for example, as 46296103407376 + 96538720969744 = 6804124^2 + 9825412^2 .

It is not an unprimeable number, because it can be changed into a prime (142834824377123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10886794079 + ... + 10886807198.

Almost surely, 2142834824377120 is an apocalyptic number.

142834824377120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142834824377120 is an abundant number, since it is smaller than the sum of its proper divisors (202842869512408).

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

142834824377120 is a wasteful number, since it uses less digits than its factorization.

142834824377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21773601333 (or 21773601325 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 56.

The spelling of 142834824377120 in words is "one hundred forty-two trillion, eight hundred thirty-four billion, eight hundred twenty-four million, three hundred seventy-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 21773601277 43547202554 87094405108 108868006385 174188810216 217736012770 348377620432 435472025540 696755240864 870944051080 892717652357 1741888102160 1785435304714 3483776204320 3570870609428 4463588261785 7141741218856 8927176523570 14283482437712 17854353047140 28566964875424 35708706094280 71417412188560 142834824377120