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424334131140420 = 22325195312831824649
BaseRepresentation
bin110000001111011011111110…
…1001001110001011101000100
32001122102221120012002221010200
41200132313331021301131010
5421104242300032443140
64102252224141050500
7155244062225546034
oct14036677511613504
92048387505087120
10424334131140420
1111322a10472a566
123b712969b56a30
13152a06c966a197
1476adc4acc18c4
15340cd87c84030
hex181edfd271744

424334131140420 has 288 divisors, whose sum is σ = 1381532141808000. Its totient is φ = 105095520811008.

The previous prime is 424334131140407. The next prime is 424334131140461. The reversal of 424334131140420 is 24041131433424.

424334131140420 is a `hidden beast` number, since 4 + 2 + 4 + 334 + 1 + 311 + 4 + 0 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231644256 + ... + 233468904.

It is an arithmetic number, because the mean of its divisors is an integer number (4796986603500).

Almost surely, 2424334131140420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424334131140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690766070904000).

424334131140420 is an abundant number, since it is smaller than the sum of its proper divisors (957198010667580).

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

424334131140420 is a wasteful number, since it uses less digits than its factorization.

424334131140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826019 (or 1826014 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 424334131140420 its reverse (24041131433424), we get a palindrome (448375262573844).

The spelling of 424334131140420 in words is "four hundred twenty-four trillion, three hundred thirty-four billion, one hundred thirty-one million, one hundred forty thousand, four hundred twenty".