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2023412420340 = 223251721011033739
BaseRepresentation
bin11101011100011100110…
…001110100111011110100
321011102210002110000220100
4131130130301310323310
5231122422034422330
64145313130234100
7266121021536223
oct35343461647364
97142702400810
102023412420340
11710140619803
12288198885930
13118a64bc322c
146dd10056cba
1537978606060
hex1d71cc74ef4

2023412420340 has 432 divisors, whose sum is σ = 6650221818240. Its totient is φ = 497793945600.

The previous prime is 2023412420339. The next prime is 2023412420387. The reversal of 2023412420340 is 430242143202.

2023412420340 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 412 + 4 + 203 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 541162191 + ... + 541165929.

Almost surely, 22023412420340 is an apocalyptic number.

2023412420340 is a gapful number since it is divisible by the number (20) 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 2023412420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325110909120).

2023412420340 is an abundant number, since it is smaller than the sum of its proper divisors (4626809397900).

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

2023412420340 is a wasteful number, since it uses less digits than its factorization.

2023412420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2023412420340 its reverse (430242143202), we get a palindrome (2453654563542).

The spelling of 2023412420340 in words is "two trillion, twenty-three billion, four hundred twelve million, four hundred twenty thousand, three hundred forty".