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244440420040 = 235311759112069
BaseRepresentation
bin1110001110100111001…
…0001100111011001000
3212100221110202221011101
43203221302030323020
513001103221420130
6304143330311144
723442314200555
oct3435162147310
9770843687141
10244440420040
1194737276573
123b45a7284b4
131a0873174cb
14bb8c2c9a2c
156559bcb1ca
hex38e9c8cec8

244440420040 has 64 divisors (see below), whose sum is σ = 568060416000. Its totient is φ = 94567461120.

The previous prime is 244440420019. The next prime is 244440420083. The reversal of 244440420040 is 40024044442.

244440420040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2444404200402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244440419990 and 244440420008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125126 + ... + 2237194.

It is an arithmetic number, because the mean of its divisors is an integer number (8875944000).

Almost surely, 2244440420040 is an apocalyptic number.

244440420040 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 244440420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284030208000).

244440420040 is an abundant number, since it is smaller than the sum of its proper divisors (323619995960).

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

244440420040 is a wasteful number, since it uses less digits than its factorization.

244440420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113870 (or 113866 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 244440420040 its reverse (40024044442), we get a palindrome (284464464482).

The spelling of 244440420040 in words is "two hundred forty-four billion, four hundred forty million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1759 3518 7036 8795 14072 17590 35180 54529 70360 109058 112069 218116 224138 272645 436232 448276 545290 560345 896552 1090580 1120690 2181160 2241380 3474139 4482760 6948278 13896556 17370695 27793112 34741390 69482780 138965560 197129371 394258742 788517484 985646855 1577034968 1971293710 3942587420 6111010501 7885174840 12222021002 24444042004 30555052505 48888084008 61110105010 122220210020 244440420040