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1441133103344 = 241131541488239
BaseRepresentation
bin10100111110001010001…
…110100000100011110000
312002202211001011221112212
4110332022032200203300
5142102420033301334
63022014123511252
7206055423156104
oct24761216404360
95082731157485
101441133103344
115061aa080680
121b3374688528
13a5b8a65a78c
144da73491904
152774936aece
hex14f8a3a08f0

1441133103344 has 80 divisors (see below), whose sum is σ = 3150108856320. Its totient is φ = 632756448000.

The previous prime is 1441133103329. The next prime is 1441133103349. The reversal of 1441133103344 is 4433013311441.

It is a self number, because there is not a number n which added to its sum of digits gives 1441133103344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441133103349) 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, 2707577 + ... + 3195815.

It is an arithmetic number, because the mean of its divisors is an integer number (39376360704).

Almost surely, 21441133103344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441133103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575054428160).

1441133103344 is an abundant number, since it is smaller than the sum of its proper divisors (1708975752976).

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

1441133103344 is a wasteful number, since it uses less digits than its factorization.

1441133103344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488830 (or 488824 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 1441133103344 its reverse (4433013311441), we get a palindrome (5874146414785).

The spelling of 1441133103344 in words is "one trillion, four hundred forty-one billion, one hundred thirty-three million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 541 682 1082 1364 2164 2728 4328 5456 5951 8656 11902 16771 23804 33542 47608 67084 95216 134168 184481 268336 368962 488239 737924 976478 1475848 1952956 2951696 3905912 5370629 7811824 10741258 15135409 21482516 30270818 42965032 60541636 85930064 121083272 166489499 242166544 264137299 332978998 528274598 665957996 1056549196 1331915992 2113098392 2663831984 2905510289 4226196784 5811020578 8188256269 11622041156 16376512538 23244082312 32753025076 46488164624 65506050152 90070818959 131012100304 180141637918 360283275836 720566551672 1441133103344