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140634141928 = 237175319114593
BaseRepresentation
bin1000001011111001110…
…0101011010011101000
3111110000000221121221021
42002332130223103220
54301004320020203
6144334553422224
713106021324410
oct2027634532350
9443000847837
10140634141928
1154708341385
122330a10a974
1310353082bc7
146b41941640
1539d17355bd
hex20be72b4e8

140634141928 has 128 divisors (see below), whose sum is σ = 326830878720. Its totient is φ = 55360880640.

The previous prime is 140634141889. The next prime is 140634141929. The reversal of 140634141928 is 829141436041.

140634141928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140634141929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9629800 + ... + 9644392.

It is an arithmetic number, because the mean of its divisors is an integer number (2553366240).

Almost surely, 2140634141928 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 140634141928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163415439360).

140634141928 is an abundant number, since it is smaller than the sum of its proper divisors (186196736792).

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

140634141928 is a wasteful number, since it uses less digits than its factorization.

140634141928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14867 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

Adding to 140634141928 its reverse (829141436041), we get a palindrome (969775577969).

The spelling of 140634141928 in words is "one hundred forty billion, six hundred thirty-four million, one hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 53 56 68 106 119 136 191 212 238 371 382 424 476 742 764 901 952 1337 1484 1528 1802 2674 2968 3247 3604 5348 6307 6494 7208 10123 10696 12614 12988 14593 20246 22729 25228 25976 29186 40492 45458 50456 58372 70861 80984 90916 102151 116744 141722 172091 181832 204302 248081 283444 344182 408604 496162 566888 688364 773429 817208 992324 1204637 1376728 1546858 1736567 1984648 2409274 2787263 3093716 3473134 4818548 5414003 5574526 6187432 6946268 9637096 10828006 11149052 13148293 13892536 19510841 21656012 22298104 26296586 39021682 43312024 47383471 52593172 78043364 92038051 94766942 105186344 147724939 156086728 184076102 189533884 295449878 331684297 368152204 379067768 590899756 663368594 736304408 1034074573 1181799512 1326737188 2068149146 2511323963 2653474376 4136298292 5022647926 8272596584 10045295852 17579267741 20090591704 35158535482 70317070964 140634141928