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1444114313020 = 225596131996453
BaseRepresentation
bin10101000000111011111…
…010111010111100111100
312010001111210212002102001
4111000323322322330330
5142130021231004040
63023230021312044
7206222333061361
oct25007372727474
95101453762361
101444114313020
11507499977625
121b3a66b65624
13a6244193382
144dc773a6468
1527870e4c59a
hex1503bebaf3c

1444114313020 has 48 divisors (see below), whose sum is σ = 3089073345120. Its totient is φ = 566928481536.

The previous prime is 1444114313003. The next prime is 1444114313069. The reversal of 1444114313020 is 203134114441.

It is a super-2 number, since 2×14441143130202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1444114313020.

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, 274887 + ... + 1721566.

It is an arithmetic number, because the mean of its divisors is an integer number (64355694690).

Almost surely, 21444114313020 is an apocalyptic number.

1444114313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444114313020 is an abundant number, since it is smaller than the sum of its proper divisors (1644959032100).

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

1444114313020 is a wasteful number, since it uses less digits than its factorization.

1444114313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997134 (or 1997132 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1444114313020 its reverse (203134114441), we get a palindrome (1647248427461).

The spelling of 1444114313020 in words is "one trillion, four hundred forty-four billion, one hundred fourteen million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 59 118 236 295 590 613 1180 1226 2452 3065 6130 12260 36167 72334 144668 180835 361670 723340 1996453 3992906 7985812 9982265 19964530 39929060 117790727 235581454 471162908 588953635 1177907270 1223825689 2355814540 2447651378 4895302756 6119128445 12238256890 24476513780 72205715651 144411431302 288822862604 361028578255 722057156510 1444114313020