Search a number
-
+
140344420121550 = 232521997116904791
BaseRepresentation
bin11111111010010001111011…
…010011101011101111001110
3200101220210110221110112201100
4133322101323103223233032
5121343400333022342200
61214253200405323530
741363356364024121
oct3772217323535716
9611823427415640
10140344420121550
11407998094292a7
12138a78324065a6
13604056427b3a8
1426929c5a723b8
151135a31742d00
hex7fa47b4ebbce

140344420121550 has 144 divisors (see below), whose sum is σ = 397312650184320. Its totient is φ = 35418916008000.

The previous prime is 140344420121497. The next prime is 140344420121663. The reversal of 140344420121550 is 55121024443041.

140344420121550 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 44 + 42 + 0 + 1 + 21 + 550 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150346 + ... + 16754445.

It is an arithmetic number, because the mean of its divisors is an integer number (2759115626280).

Almost surely, 2140344420121550 is an apocalyptic number.

140344420121550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140344420121550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198656325092160).

140344420121550 is an abundant number, since it is smaller than the sum of its proper divisors (256968230062770).

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

140344420121550 is a wasteful number, since it uses less digits than its factorization.

140344420121550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16905799 (or 16905791 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 140344420121550 its reverse (55121024443041), we get a palindrome (195465444564591).

The spelling of 140344420121550 in words is "one hundred forty trillion, three hundred forty-four billion, four hundred twenty million, one hundred twenty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 971 1425 1710 1942 2850 2913 4275 4855 5826 8550 8739 9710 14565 17478 18449 24275 29130 36898 43695 48550 55347 72825 87390 92245 110694 145650 166041 184490 218475 276735 332082 436950 461225 553470 830205 922450 1383675 1660410 2767350 4151025 8302050 16904791 33809582 50714373 84523955 101428746 152143119 169047910 253571865 304286238 321191029 422619775 507143730 642382058 760715595 845239550 963573087 1267859325 1521431190 1605955145 1927146174 2535718650 2890719261 3211910290 3803577975 4817865435 5781438522 7607155950 8029775725 9635730870 14453596305 16059551450 16414552061 24089327175 28907192610 32829104122 48178654350 49243656183 72267981525 82072760305 98487312366 144535963050 147730968549 164145520610 246218280915 295461937098 311876489159 410363801525 492436561830 623752978318 738654842745 820727603050 935629467477 1231091404575 1477309685490 1559382445795 1871258934954 2462182809150 2806888402431 3118764891590 3693274213725 4678147337385 5613776804862 7386548427450 7796912228975 9356294674770 14034442012155 15593824457950 23390736686925 28068884024310 46781473373850 70172210060775 140344420121550