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42302434421120 = 27517179187311597
BaseRepresentation
bin10011001111001010011011…
…00100111010100110000000
312112210001222101111021222212
421213211031210322212000
521021040341202433440
6225545245312321252
711624151521522006
oct1147451544724600
9175701871437885
1042302434421120
111252a3a8454835
1248b25b3843228
131a7b1441087b3
14a6363d52aa76
154d55b3e7d465
hex26794d93a980

42302434421120 has 256 divisors, whose sum is σ = 107743016894400. Its totient is φ = 15826832326656.

The previous prime is 42302434421087. The next prime is 42302434421153. The reversal of 42302434421120 is 2112443420324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42302434421087) and next prime (42302434421153).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647699162 + ... + 3647710758.

Almost surely, 242302434421120 is an apocalyptic number.

42302434421120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42302434421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53871508447200).

42302434421120 is an abundant number, since it is smaller than the sum of its proper divisors (65440582473280).

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

42302434421120 is a wasteful number, since it uses less digits than its factorization.

42302434421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13685 (or 13673 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42302434421120 its reverse (2112443420324), we get a palindrome (44414877841444).

The spelling of 42302434421120 in words is "forty-two trillion, three hundred two billion, four hundred thirty-four million, four hundred twenty-one thousand, one hundred twenty".