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1444296652240 = 245132969467749
BaseRepresentation
bin10101000001000110110…
…010011111010111010000
312010001222111221212210111
4111001012302133113100
5142130404420332430
63023300053411104
7206230005661531
oct25010662372720
95101874855714
101444296652240
115075828977a2
121b3ab8039a94
13a6272ba5bc0
144dc936ac688
1527881e68c2a
hex15046c9f5d0

1444296652240 has 80 divisors (see below), whose sum is σ = 3617522370000. Its totient is φ = 533098008576.

The previous prime is 1444296652223. The next prime is 1444296652261. The reversal of 1444296652240 is 422566924441.

It can be written as a sum of positive squares in 8 ways, for example, as 342754044304 + 1101542607936 = 585452^2 + 1049544^2 .

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

It is a congruent number.

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, 2853886 + ... + 3321634.

It is an arithmetic number, because the mean of its divisors is an integer number (45219029625).

Almost surely, 21444296652240 is an apocalyptic number.

1444296652240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444296652240 is an abundant number, since it is smaller than the sum of its proper divisors (2173225717760).

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

1444296652240 is a wasteful number, since it uses less digits than its factorization.

1444296652240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470744 (or 470738 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 1444296652240 in words is "one trillion, four hundred forty-four billion, two hundred ninety-six million, six hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2969 5938 11876 14845 23752 29690 38597 47504 59380 77194 118760 154388 192985 237520 308776 385970 467749 617552 771940 935498 1543880 1870996 2338745 3087760 3741992 4677490 6080737 7483984 9354980 12161474 18709960 24322948 30403685 37419920 48645896 60807370 97291792 121614740 243229480 486458960 1388746781 2777493562 5554987124 6943733905 11109974248 13887467810 18053708153 22219948496 27774935620 36107416306 55549871240 72214832612 90268540765 111099742480 144429665224 180537081530 288859330448 361074163060 722148326120 1444296652240