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4244543350344 = 23331121391168361
BaseRepresentation
bin111101110001000010011…
…111111010011001001000
3120000202220112011000221000
4331301002133322121020
51024020311044202334
613005525530415000
7615441512122233
oct75610237723110
916022815130830
104244543350344
111397112080200
12586754b91460
1324a34954143b
1410961918041a
1575624c19299
hex3dc427fa648

4244543350344 has 192 divisors, whose sum is σ = 13052940264000. Its totient is φ = 1276970745600.

The previous prime is 4244543350343. The next prime is 4244543350349. The reversal of 4244543350344 is 4430533454424.

4244543350344 is a `hidden beast` number, since 4 + 2 + 44 + 543 + 35 + 0 + 34 + 4 = 666.

It is a super-2 number, since 2×42445433503442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4244543350344.

It is not an unprimeable number, because it can be changed into a prime (4244543350343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3048724 + ... + 4217084.

It is an arithmetic number, because the mean of its divisors is an integer number (67984063875).

Almost surely, 24244543350344 is an apocalyptic number.

4244543350344 is a gapful number since it is divisible by the number (44) 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 4244543350344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526470132000).

4244543350344 is an abundant number, since it is smaller than the sum of its proper divisors (8808396913656).

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

4244543350344 is a wasteful number, since it uses less digits than its factorization.

4244543350344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168537 (or 1168516 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 45.

The spelling of 4244543350344 in words is "four trillion, two hundred forty-four billion, five hundred forty-three million, three hundred fifty thousand, three hundred forty-four".