Search a number
-
+
140213304144 = 24328099071327
BaseRepresentation
bin1000001010010101011…
…1010011101101010000
3111101220201001212000200
42002211113103231100
54244124101213034
6144225121415200
713062421264164
oct2024527235520
9441821055020
10140213304144
1154511833761
122321119a500
13102b6b26a74
146b01ab4ca4
1539a9807a99
hex20a55d3b50

140213304144 has 120 divisors (see below), whose sum is σ = 393617128320. Its totient is φ = 46593391104.

The previous prime is 140213304137. The next prime is 140213304149. The reversal of 140213304144 is 441403312041.

140213304144 is a `hidden beast` number, since 1 + 4 + 0 + 213 + 30 + 414 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140213304149) 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 23 ways as a sum of consecutive naturals, for example, 105661209 + ... + 105662535.

It is an arithmetic number, because the mean of its divisors is an integer number (3280142736).

Almost surely, 2140213304144 is an apocalyptic number.

It is an amenable number.

140213304144 is an abundant number, since it is smaller than the sum of its proper divisors (253403824176).

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

140213304144 is a wasteful number, since it uses less digits than its factorization.

140213304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140213304144 its reverse (441403312041), we get a palindrome (581616616185).

The spelling of 140213304144 in words is "one hundred forty billion, two hundred thirteen million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 809 907 1327 1618 1814 2427 2654 2721 3236 3628 3981 4854 5308 5442 6472 7256 7281 7962 8163 9708 10616 10884 11943 12944 14512 14562 15924 16326 19416 21232 21768 23886 29124 31848 32652 38832 43536 47772 58248 63696 65304 95544 116496 130608 191088 733763 1073543 1203589 1467526 2147086 2201289 2407178 2935052 3220629 3610767 4294172 4402578 4814356 5870104 6441258 6603867 7221534 8588344 8805156 9628712 9661887 10832301 11740208 12882516 13207734 14443068 17176688 17610312 19257424 19323774 21664602 25765032 26415468 28886136 35220624 38647548 43329204 51530064 52830936 57772272 77295096 86658408 105661872 154590192 173316816 973703501 1947407002 2921110503 3894814004 5842221006 7789628008 8763331509 11684442012 15579256016 17526663018 23368884024 35053326036 46737768048 70106652072 140213304144