Search a number
-
+
140054636502 = 232111923752957
BaseRepresentation
bin1000001001101111101…
…0000010011111010110
3111101111122111200221100
42002123322002133112
54243312441332002
6144201252530530
713055453524254
oct2023372023726
9441448450840
10140054636502
1154440211380
1223188020a46
131028ccb18a1
146ac89b15d4
15399a91511c
hex209be827d6

140054636502 has 144 divisors (see below), whose sum is σ = 358827732432. Its totient is φ = 39119656320.

The previous prime is 140054636473. The next prime is 140054636551. The reversal of 140054636502 is 205636450041.

140054636502 is a `hidden beast` number, since 1 + 40 + 0 + 54 + 63 + 6 + 502 = 666.

140054636502 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2618208 + ... + 2671164.

It is an arithmetic number, because the mean of its divisors is an integer number (2491859253).

Almost surely, 2140054636502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140054636502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179413866216).

140054636502 is an abundant number, since it is smaller than the sum of its proper divisors (218773095930).

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

140054636502 is a wasteful number, since it uses less digits than its factorization.

140054636502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53051 (or 53029 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 140054636502 in words is "one hundred forty billion, fifty-four million, six hundred thirty-six thousand, five hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 37 38 57 66 74 99 111 114 171 198 209 222 333 342 361 407 418 627 666 703 722 814 1083 1221 1254 1406 1881 2109 2166 2442 3249 3663 3762 3971 4218 6327 6498 7326 7733 7942 11913 12654 13357 15466 23199 23826 26714 35739 40071 46398 52957 69597 71478 80142 105914 120213 139194 146927 158871 240426 293854 317742 440781 476613 582527 881562 953226 1006183 1165054 1322343 1747581 1959409 2012366 2644686 3018549 3495162 3918818 5242743 5878227 6037098 9055647 10485486 11068013 11756454 17634681 18111294 19117477 21553499 22136026 33204039 35269362 37228771 38234954 43106998 57352431 64660497 66408078 74457542 99612117 111686313 114704862 129320994 172057293 193981491 199224234 210292247 223372626 335058939 344114586 387962982 409516481 420584494 630876741 670117878 707346649 819032962 1228549443 1261753482 1414693298 1892630223 2122039947 2457098886 3685648329 3785260446 4244079894 6366119841 7371296658 7780813139 12732239682 15561626278 23342439417 46684878834 70027318251 140054636502