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1444131235040 = 255133718764699
BaseRepresentation
bin10101000000111100111…
…011011110010011100000
312010001112222200211001112
4111000330323132103200
5142130040044010130
63023231424122452
7206222626650614
oct25007473362340
95101488624045
101444131235040
115074a848536a
121b3a70766428
13a62478397c0
144dc7972d344
1527872691495
hex1503cede4e0

1444131235040 has 96 divisors (see below), whose sum is σ = 3773506111200. Its totient is φ = 518806370304.

The previous prime is 1444131235039. The next prime is 1444131235067. The reversal of 1444131235040 is 405321314441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1444131234988 and 1444131235006.

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, 9305390 + ... + 9459309.

It is an arithmetic number, because the mean of its divisors is an integer number (39307355325).

Almost surely, 21444131235040 is an apocalyptic number.

1444131235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444131235040 is an abundant number, since it is smaller than the sum of its proper divisors (2329374876160).

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

1444131235040 is a wasteful number, since it uses less digits than its factorization.

1444131235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18764764 (or 18764756 counting only the distinct ones).

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

Adding to 1444131235040 its reverse (405321314441), we get a palindrome (1849452549481).

The spelling of 1444131235040 in words is "one trillion, four hundred forty-four billion, one hundred thirty-one million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 148 160 185 208 260 296 370 416 481 520 592 740 962 1040 1184 1480 1924 2080 2405 2960 3848 4810 5920 7696 9620 15392 19240 38480 76960 18764699 37529398 75058796 93823495 150117592 187646990 243941087 300235184 375293980 487882174 600470368 694293863 750587960 975764348 1219705435 1388587726 1501175920 1951528696 2439410870 2777175452 3002351840 3471469315 3903057392 4878821740 5554350904 6942938630 7806114784 9025820219 9757643480 11108701808 13885877260 18051640438 19515286960 22217403616 27771754520 36103280876 39030573920 45129101095 55543509040 72206561752 90258202190 111087018080 144413123504 180516404380 288826247008 361032808760 722065617520 1444131235040