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335140252020 = 2232572473372399
BaseRepresentation
bin1001110000001111110…
…10100110100101110100
31012001001111111210021200
410320013322212211310
520442331401031040
6413543350412500
733133042065600
oct4700772464564
91161044453250
10335140252020
1111a14aa317a2
1254b51961130
13257b011a542
141231411a500
158ab76e5630
hex4e07ea6974

335140252020 has 432 divisors, whose sum is σ = 1211815987200. Its totient is φ = 74719991808.

The previous prime is 335140252003. The next prime is 335140252021. The reversal of 335140252020 is 20252041533.

It is a happy number.

335140252020 is a `hidden beast` number, since 3 + 3 + 51 + 402 + 5 + 202 + 0 = 666.

It is a super-2 number, since 2×3351402520202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335140252021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139698781 + ... + 139701179.

It is an arithmetic number, because the mean of its divisors is an integer number (2805129600).

Almost surely, 2335140252020 is an apocalyptic number.

335140252020 is a gapful number since it is divisible by the number (30) 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 335140252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605907993600).

335140252020 is an abundant number, since it is smaller than the sum of its proper divisors (876675735180).

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

335140252020 is a wasteful number, since it uses less digits than its factorization.

335140252020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 335140252020 its reverse (20252041533), we get a palindrome (355392293553).

The spelling of 335140252020 in words is "three hundred thirty-five billion, one hundred forty million, two hundred fifty-two thousand, twenty".