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6244055040 = 21135439463
BaseRepresentation
bin1011101000010110…
…01011100000000000
3121010011021212020210
411310023023200000
5100241434230130
62511331434120
7310506410046
oct56413134000
917104255223
106244055040
112714673a73
121263155940
13786809532
144333bc396
152682955b0
hex1742cb800

6244055040 has 192 divisors, whose sum is σ = 20064844800. Its totient is φ = 1657700352.

The previous prime is 6244055033. The next prime is 6244055053. The reversal of 6244055040 is 405504426.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×62440550403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6244054989 and 6244055007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13485849 + ... + 13486311.

It is an arithmetic number, because the mean of its divisors is an integer number (104504400).

Almost surely, 26244055040 is an apocalyptic number.

6244055040 is a gapful number since it is divisible by the number (60) 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 6244055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032422400).

6244055040 is an abundant number, since it is smaller than the sum of its proper divisors (13820789760).

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

6244055040 is a wasteful number, since it uses less digits than its factorization.

6244055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 6244055040 is about 79019.3333305211. Note that the first 5 decimals coincide. The cubic root of 6244055040 is about 1841.4315261806.

Adding to 6244055040 its reverse (405504426), we get a palindrome (6649559466).

The spelling of 6244055040 in words is "six billion, two hundred forty-four million, fifty-five thousand, forty".