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1141012140224 = 261123371904531
BaseRepresentation
bin10000100110101001100…
…111111001000011000000
311001002011002122100121012
4100212221213321003000
5122143243101441344
62232101310020052
7145302226111325
oct20465147710300
94032132570535
101141012140224
113aa99a674a60
121651767a7628
138379b758778
143d322262b4c
151ea3126629e
hex109a99f90c0

1141012140224 has 112 divisors (see below), whose sum is σ = 2647086172416. Its totient is φ = 482684083200.

The previous prime is 1141012140197. The next prime is 1141012140227. The reversal of 1141012140224 is 4220412101411.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1141012140224.

It is not an unprimeable number, because it can be changed into a prime (1141012140227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353162 + ... + 1551369.

It is an arithmetic number, because the mean of its divisors is an integer number (23634697968).

Almost surely, 21141012140224 is an apocalyptic number.

It is an amenable number.

1141012140224 is an abundant number, since it is smaller than the sum of its proper divisors (1506074032192).

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

1141012140224 is a wasteful number, since it uses less digits than its factorization.

1141012140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904614 (or 1904604 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 1141012140224 its reverse (4220412101411), we get a palindrome (5361424241635).

The spelling of 1141012140224 in words is "one trillion, one hundred forty-one billion, twelve million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 37 44 46 64 74 88 92 148 176 184 253 296 352 368 407 506 592 704 736 814 851 1012 1184 1472 1628 1702 2024 2368 3256 3404 4048 6512 6808 8096 9361 13024 13616 16192 18722 26048 27232 37444 54464 74888 149776 299552 599104 1904531 3809062 7618124 15236248 20949841 30472496 41899682 43804213 60944992 70467647 83799364 87608426 121889984 140935294 167598728 175216852 281870588 335197456 350433704 481846343 563741176 670394912 700867408 775144117 963692686 1127482352 1340789824 1401734816 1550288234 1620755881 1927385372 2254964704 2803469632 3100576468 3241511762 3854770744 4509929408 6201152936 6483023524 7709541488 12402305872 12966047048 15419082976 17828314691 24804611744 25932094096 30838165952 35656629382 49609223488 51864188192 71313258764 103728376384 142626517528 285253035056 570506070112 1141012140224