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1444291378656 = 25374574702939
BaseRepresentation
bin10101000001000110011…
…110010111110111100000
312010001222011000221210120
4111001012132113313200
5142130402043104111
63023255344400240
7206226613105620
oct25010636276740
95101864027716
101444291378656
1150757a915665
121b3ab6316080
13a6271a7a739
144dc92ad8880
1527881776406
hex15046797de0

1444291378656 has 96 divisors (see below), whose sum is σ = 4342356184320. Its totient is φ = 411751627776.

The previous prime is 1444291378633. The next prime is 1444291378679. The reversal of 1444291378656 is 6568731924441.

It is an interprime number because it is at equal distance from previous prime (1444291378633) and next prime (1444291378679).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1444291378656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044366 + ... + 2658573.

It is an arithmetic number, because the mean of its divisors is an integer number (45232876920).

Almost surely, 21444291378656 is an apocalyptic number.

1444291378656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1444291378656 is an abundant number, since it is smaller than the sum of its proper divisors (2898064805664).

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

1444291378656 is a wasteful number, since it uses less digits than its factorization.

1444291378656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703416 (or 4703408 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 1444291378656 in words is "one trillion, four hundred forty-four billion, two hundred ninety-one million, three hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 457 672 914 1371 1828 2742 3199 3656 5484 6398 7312 9597 10968 12796 14624 19194 21936 25592 38388 43872 51184 76776 102368 153552 307104 4702939 9405878 14108817 18811756 28217634 32920573 37623512 56435268 65841146 75247024 98761719 112870536 131682292 150494048 197523438 225741072 263364584 395046876 451482144 526729168 790093752 1053458336 1580187504 2149243123 3160375008 4298486246 6447729369 8596972492 12895458738 15044701861 17193944984 25790917476 30089403722 34387889968 45134105583 51581834952 60178807444 68775779936 90268211166 103163669904 120357614888 180536422332 206327339808 240715229776 361072844664 481430459552 722145689328 1444291378656