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4124313422240 = 25511237111031301
BaseRepresentation
bin111100000001000100001…
…111001000100110100000
3112121021120111022212100212
4330001010033020212200
51020033043214002430
612434403342033252
7603654221443424
oct74010417104640
915537514285325
104124313422240
111350125451760
125673a0278828
1323bbc882174b
141038914a4b84
1572439996b95
hex3c0443c89a0

4124313422240 has 384 divisors, whose sum is σ = 11266702884864. Its totient is φ = 1411970560000.

The previous prime is 4124313422237. The next prime is 4124313422261. The reversal of 4124313422240 is 422243134214.

It is a happy number.

It is a super-2 number, since 2×41243134222402 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 = 4124313422197 and 4124313422206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3170109590 + ... + 3170110890.

It is an arithmetic number, because the mean of its divisors is an integer number (29340372096).

Almost surely, 24124313422240 is an apocalyptic number.

4124313422240 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 4124313422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633351442432).

4124313422240 is an abundant number, since it is smaller than the sum of its proper divisors (7142389462624).

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

4124313422240 is a wasteful number, since it uses less digits than its factorization.

4124313422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4124313422240 its reverse (422243134214), we get a palindrome (4546556556454).

The spelling of 4124313422240 in words is "four trillion, one hundred twenty-four billion, three hundred thirteen million, four hundred twenty-two thousand, two hundred forty".