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1444141406295 = 325797467101207
BaseRepresentation
bin10101000000111101100…
…010010001100001010111
312010001120200211120101200
4111000331202101201113
5142130100200000140
63023232430123543
7206223112262460
oct25007542214127
95101520746350
101444141406295
115075031a2165
121b3a740505b3
13a624998b2b3
144dc7ac19d67
1527873500030
hex1503d891857

1444141406295 has 96 divisors (see below), whose sum is σ = 2896485516288. Its totient is φ = 651967432704.

The previous prime is 1444141406293. The next prime is 1444141406321. The reversal of 1444141406295 is 5926041414441.

1444141406295 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 4 + 14 + 0 + 629 + 5 = 666.

It is not a de Polignac number, because 1444141406295 - 21 = 1444141406293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1444141406295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444141406293) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14218582 + ... + 14319788.

It is an arithmetic number, because the mean of its divisors is an integer number (30171724128).

Almost surely, 21444141406295 is an apocalyptic number.

1444141406295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1444141406295 is an abundant number, since it is smaller than the sum of its proper divisors (1452344109993).

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

1444141406295 is a wasteful number, since it uses less digits than its factorization.

1444141406295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101789 (or 101786 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1444141406295 in words is "one trillion, four hundred forty-four billion, one hundred forty-one million, four hundred six thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 97 105 291 315 467 485 679 873 1401 1455 2037 2335 3269 3395 4203 4365 6111 7005 9807 10185 16345 21015 29421 30555 45299 49035 101207 135897 147105 226495 303621 317093 407691 506035 679485 708449 910863 951279 1518105 1585465 2038455 2125347 2853837 3542245 4554315 4756395 6376041 9817079 10626735 14269185 29451237 31880205 47263669 49085395 68719553 88353711 141791007 147256185 206158659 236318345 330845683 343597765 425373021 441768555 618475977 708955035 992537049 1030793295 1654228415 2126865105 2977611147 3092379885 4584575893 4962685245 13753727679 14888055735 22922879465 32092031251 41261183037 68768638395 96276093753 160460156255 206305915185 288828281259 481380468765 1444141406295