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4244034304240 = 2451710333020923
BaseRepresentation
bin111101110000100100001…
…010000011100011110000
3120000201121001021210221121
4331300210022003203300
51024013240240213430
613005403224032024
7615423061240633
oct75604412034360
916021531253847
104244034304240
1113969807a5345
12586632602614
1324a297c3ca23
141095ab711c1a
15755e51b5a7a
hex3dc242838f0

4244034304240 has 80 divisors (see below), whose sum is σ = 10457931372768. Its totient is φ = 1596206850048.

The previous prime is 4244034304231. The next prime is 4244034304247. The reversal of 4244034304240 is 424034304424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 4244034304196 and 4244034304205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244034304247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105582 + ... + 2915341.

Almost surely, 24244034304240 is an apocalyptic number.

4244034304240 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 4244034304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228965686384).

4244034304240 is an abundant number, since it is smaller than the sum of its proper divisors (6213897068528).

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

4244034304240 is a wasteful number, since it uses less digits than its factorization.

4244034304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021986 (or 3021980 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 4244034304240 its reverse (424034304424), we get a palindrome (4668068608664).

The spelling of 4244034304240 in words is "four trillion, two hundred forty-four billion, thirty-four million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1033 1360 2066 4132 5165 8264 10330 16528 17561 20660 35122 41320 70244 82640 87805 140488 175610 280976 351220 702440 1404880 3020923 6041846 12083692 15104615 24167384 30209230 48334768 51355691 60418460 102711382 120836920 205422764 241673840 256778455 410845528 513556910 821691056 1027113820 2054227640 3120613459 4108455280 6241226918 12482453836 15603067295 24964907672 31206134590 49929815344 53050428803 62412269180 106100857606 124824538360 212201715212 249649076720 265252144015 424403430424 530504288030 848806860848 1061008576060 2122017152120 4244034304240