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144311320313202 = 23741177553471997
BaseRepresentation
bin100000110100000000011000…
…111110111111110101110010
3200220222000202001000202121210
4200310000120332333311302
5122403344041000010302
61230531412203500550
742253102022222250
oct4064003076776562
9626860661022553
10144311320313202
1141a890a6145a59
1214228601227756
13626a664722cc3
14278c9c2dbd5d0
1511a3d068b766c
hex834018fbfd72

144311320313202 has 64 divisors (see below), whose sum is σ = 337902295820544. Its totient is φ = 40225840220160.

The previous prime is 144311320313191. The next prime is 144311320313219. The reversal of 144311320313202 is 202313023113441.

144311320313202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144311320313202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305510268 + ... + 305982264.

It is an arithmetic number, because the mean of its divisors is an integer number (5279723372196).

Almost surely, 2144311320313202 is an apocalyptic number.

144311320313202 is an abundant number, since it is smaller than the sum of its proper divisors (193590975507342).

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

144311320313202 is a wasteful number, since it uses less digits than its factorization.

144311320313202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649603.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 144311320313202 its reverse (202313023113441), we get a palindrome (346624343426643).

The spelling of 144311320313202 in words is "one hundred forty-four trillion, three hundred eleven billion, three hundred twenty million, three hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 177553 355106 471997 532659 943994 1065318 1242871 1415991 2485742 2831982 3303979 3728613 6607958 7279673 7457226 9911937 14559346 19351877 19823874 21839019 38703754 43678038 50957711 58055631 101915422 116111262 135463139 152873133 270926278 305746266 406389417 812778834 83804483341 167608966682 251413450023 502826900046 586631383387 1173262766774 1759894150161 3435983816981 3519788300322 6871967633962 10307951450943 20615902901886 24051886718867 48103773437734 72155660156601 144311320313202