Search a number
-
+
140365770203808 = 25325915752615907
BaseRepresentation
bin11111111010100101110011…
…110111110010001010100000
3200101222211120212102002122200
4133322211303313302022200
5121344223044133010213
61214311051123533200
741365043431520652
oct3772456367621240
9611884525362580
10140365770203808
11407a7874a52086
12138ab9b052a200
136042587577966
142693a4d3946d2
151136380c93273
hex7fa973df22a0

140365770203808 has 144 divisors (see below), whose sum is σ = 408516223620960. Its totient is φ = 45702596878848.

The previous prime is 140365770203801. The next prime is 140365770203809. The reversal of 140365770203808 is 808302077563041.

It is a happy number.

140365770203808 is a `hidden beast` number, since 1 + 4 + 0 + 36 + 577 + 0 + 2 + 0 + 38 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (140365770203801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23640210 + ... + 28975697.

It is an arithmetic number, because the mean of its divisors is an integer number (2836918219590).

Almost surely, 2140365770203808 is an apocalyptic number.

140365770203808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140365770203808 is an abundant number, since it is smaller than the sum of its proper divisors (268150453417152).

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

140365770203808 is a wasteful number, since it uses less digits than its factorization.

140365770203808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52616139 (or 52616128 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 140365770203808 in words is "one hundred forty trillion, three hundred sixty-five billion, seven hundred seventy million, two hundred three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 157 177 236 288 314 354 471 472 531 628 708 942 944 1062 1256 1413 1416 1884 1888 2124 2512 2826 2832 3768 4248 5024 5652 5664 7536 8496 9263 11304 15072 16992 18526 22608 27789 37052 45216 55578 74104 83367 111156 148208 166734 222312 296416 333468 444624 666936 889248 1333872 2667744 52615907 105231814 157847721 210463628 315695442 420927256 473543163 631390884 841854512 947086326 1262781768 1683709024 1894172652 2525563536 3104338513 3788345304 5051127072 6208677026 7576690608 8260697399 9313015539 12417354052 15153381216 16521394798 18626031078 24782092197 24834708104 27939046617 33042789596 37252062156 49564184394 49669416208 55878093234 66085579192 74346276591 74504124312 99128368788 99338832416 111756186468 132171158384 148692553182 149008248624 198256737576 223512372936 264342316768 297385106364 298016497248 396513475152 447024745872 487381146541 594770212728 793026950304 894049491744 974762293082 1189540425456 1462143439623 1949524586164 2379080850912 2924286879246 3899049172328 4386430318869 5848573758492 7798098344656 8772860637738 11697147516984 15596196689312 17545721275476 23394295033968 35091442550952 46788590067936 70182885101904 140365770203808