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4122353143040 = 285112163283577
BaseRepresentation
bin111011111111001111011…
…001010000110100000000
3112121002111212201100211112
4323333033121100310000
51020020034401034130
612433441034302452
7603554516364626
oct73771731206400
915532455640745
104122353143040
11134a309974a00
12566b33887a28
1323b975673b22
14103746dc9516
157237282d495
hex3bfcf650d00

4122353143040 has 432 divisors, whose sum is σ = 10977762177984. Its totient is φ = 1482003578880.

The previous prime is 4122353143037. The next prime is 4122353143061. The reversal of 4122353143040 is 403413532214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4122353142988 and 4122353143006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7144459232 + ... + 7144459808.

Almost surely, 24122353143040 is an apocalyptic number.

4122353143040 is a gapful number since it is divisible by the number (40) 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 4122353143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488881088992).

4122353143040 is an abundant number, since it is smaller than the sum of its proper divisors (6855409034944).

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

4122353143040 is a wasteful number, since it uses less digits than its factorization.

4122353143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 4122353143040 its reverse (403413532214), we get a palindrome (4525766675254).

The spelling of 4122353143040 in words is "four trillion, one hundred twenty-two billion, three hundred fifty-three million, one hundred forty-three thousand, forty".