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1440132315440 = 245713197820373
BaseRepresentation
bin10100111101001110100…
…100110011100100110000
312002200020022000122122012
4110331032210303210300
5142043342333043230
63021330533302052
7206021551464110
oct24751644634460
95080208018565
101440132315440
11505836169935
121b3135494928
13a5a5b205aa0
144d9ba5bb040
15276db581395
hex14f4e933930

1440132315440 has 80 divisors (see below), whose sum is σ = 4120994031168. Its totient is φ = 455778137088.

The previous prime is 1440132315439. The next prime is 1440132315449. The reversal of 1440132315440 is 445132310441.

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

It is a junction number, because it is equal to n+sod(n) for n = 1440132315397 and 1440132315406.

It is not an unprimeable number, because it can be changed into a prime (1440132315449) 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, 98902907 + ... + 98917466.

Almost surely, 21440132315440 is an apocalyptic number.

1440132315440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440132315440 is an abundant number, since it is smaller than the sum of its proper divisors (2680861715728).

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

1440132315440 is a wasteful number, since it uses less digits than its factorization.

1440132315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197820406 (or 197820400 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 1440132315440 its reverse (445132310441), we get a palindrome (1885264625881).

The spelling of 1440132315440 in words is "one trillion, four hundred forty billion, one hundred thirty-two million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 197820373 395640746 791281492 989101865 1384742611 1582562984 1978203730 2571664849 2769485222 3165125968 3956407460 5143329698 5538970444 6923713055 7912814920 10286659396 11077940888 12858324245 13847426110 15825629840 18001653943 20573318792 22155881776 25716648490 27694852220 36003307886 41146637584 51433296980 55389704440 72006615772 90008269715 102866593960 110779408880 144013231544 180016539430 205733187920 288026463088 360033078860 720066157720 1440132315440