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22343443430040 = 2332515118112911759
BaseRepresentation
bin1010001010010001111010…
…00000100011101010011000
32221010000022222201021212100
411011020331000203222120
510412033333004230130
6115304234115443400
74464155233352625
oct505107500435230
987100288637770
1022343443430040
11713488a362107
12260a385bb6560
13c60c92c49c15
145735dd89134c
1528b30e48ec60
hex14523d023a98

22343443430040 has 384 divisors, whose sum is σ = 73599695769600. Its totient is φ = 5878189440000.

The previous prime is 22343443429891. The next prime is 22343443430041. The reversal of 22343443430040 is 4003434434322.

22343443430040 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 344 + 3 + 4 + 300 + 4 + 0 = 666.

It is a super-2 number, since 2×223434434300402 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22343443429977 and 22343443430004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22343443430041) 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, 12702354681 + ... + 12702356439.

It is an arithmetic number, because the mean of its divisors is an integer number (191665874400).

Almost surely, 222343443430040 is an apocalyptic number.

22343443430040 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 22343443430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36799847884800).

22343443430040 is an abundant number, since it is smaller than the sum of its proper divisors (51256252339560).

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

22343443430040 is a wasteful number, since it uses less digits than its factorization.

22343443430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 22343443430040 its reverse (4003434434322), we get a palindrome (26346877864362).

The spelling of 22343443430040 in words is "twenty-two trillion, three hundred forty-three billion, four hundred forty-three million, four hundred thirty thousand, forty".