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335012030413434 = 23211231311992821909
BaseRepresentation
bin100110000101100010001000…
…1000100010111101001111010
31121221011211121102002210111100
41030023010101010113221322
5322402314114241212214
63144302222505312230
7130364551263565203
oct11413042104275172
91557154542083440
10335012030413434
1197821893471780
12316a76ab195676
13114c166415b04a
145ca29512225aa
1528ae6720d6309
hex130b111117a7a

335012030413434 has 192 divisors, whose sum is σ = 836766298368000. Its totient is φ = 95879403734400.

The previous prime is 335012030413433. The next prime is 335012030413439. The reversal of 335012030413434 is 434314030210533.

335012030413434 is a `hidden beast` number, since 3 + 3 + 5 + 0 + 1 + 2 + 0 + 304 + 1 + 343 + 4 = 666.

It is a super-2 number, since 2×3350120304134342 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335012030413433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117307272 + ... + 120129180.

It is an arithmetic number, because the mean of its divisors is an integer number (4358157804000).

Almost surely, 2335012030413434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335012030413434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418383149184000).

335012030413434 is an abundant number, since it is smaller than the sum of its proper divisors (501754267954566).

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

335012030413434 is a wasteful number, since it uses less digits than its factorization.

335012030413434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822281 (or 2822278 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 335012030413434 its reverse (434314030210533), we get a palindrome (769326060623967).

The spelling of 335012030413434 in words is "three hundred thirty-five trillion, twelve billion, thirty million, four hundred thirteen thousand, four hundred thirty-four".