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1444230444048 = 243746722974007
BaseRepresentation
bin10101000001000010110…
…101111011010000010000
312010001210220101011020020
4111001002311323100100
5142130240443202143
63023245330343440
7206225243136660
oct25010265732020
95101726334206
101444230444048
11507549486587
121b3a99a2ab80
13a6262264262
144dc889961a0
152787b23b883
hex15042d7b410

1444230444048 has 160 divisors (see below), whose sum is σ = 4275976034304. Its totient is φ = 411471707136.

The previous prime is 1444230443923. The next prime is 1444230444049. The reversal of 1444230444048 is 8404440324441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1444230444049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360424861 + ... + 360428867.

Almost surely, 21444230444048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444230444048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137988017152).

1444230444048 is an abundant number, since it is smaller than the sum of its proper divisors (2831745590256).

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

1444230444048 is a wasteful number, since it uses less digits than its factorization.

1444230444048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6789 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

Adding to 1444230444048 its reverse (8404440324441), we get a palindrome (9848670768489).

The spelling of 1444230444048 in words is "one trillion, four hundred forty-four billion, two hundred thirty million, four hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 467 934 1401 1868 2297 2802 3269 3736 4007 4594 5604 6538 6891 7472 8014 9188 9807 11208 12021 13076 13782 16028 16079 18376 19614 22416 24042 26152 27564 28049 32056 32158 36752 39228 48084 48237 52304 55128 56098 64112 64316 78456 84147 96168 96474 110256 112196 128632 156912 168294 192336 192948 224392 257264 336588 385896 448784 673176 771792 1072699 1346352 1871269 2145398 3218097 3742538 4290796 5613807 6436194 7485076 7508893 8581592 9204079 11227614 12872388 13098883 14970152 15017786 17163184 18408158 22455228 22526679 25744776 26197766 27612237 29940304 30035572 36816316 39296649 44910456 45053358 51489552 52395532 55224474 60071144 64428553 73632632 78593298 89820912 90106716 104791064 110448948 120142288 128857106 147265264 157186596 180213432 193285659 209582128 220897896 257714212 314373192 360426864 386571318 441795792 515428424 628746384 773142636 1030856848 1546285272 3092570544 4298304893 8596609786 12894914679 17193219572 25789829358 30088134251 34386439144 51579658716 60176268502 68772878288 90264402753 103159317432 120352537004 180528805506 206318634864 240705074008 361057611012 481410148016 722115222024 1444230444048