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144241220344120 = 23529711751350417
BaseRepresentation
bin100000110010111111000110…
…101100110101100100111000
3200220201022210122120100221121
4200302333012230311210320
5122401222004402002440
61230435300222115024
742245040622266454
oct4062770654654470
9626638718510847
10144241220344120
1141a613a3583709
1214216ab8a1ba74
136263b72675c63
142789452dc3664
1511a20a260b34a
hex832fc6b35938

144241220344120 has 64 divisors (see below), whose sum is σ = 340462521259200. Its totient is φ = 54922349045760.

The previous prime is 144241220344079. The next prime is 144241220344147. The reversal of 144241220344120 is 21443022142441.

144241220344120 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875592849 + ... + 875757568.

It is an arithmetic number, because the mean of its divisors is an integer number (5319726894675).

Almost surely, 2144241220344120 is an apocalyptic number.

144241220344120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144241220344120 is an abundant number, since it is smaller than the sum of its proper divisors (196221300915080).

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

144241220344120 is a wasteful number, since it uses less digits than its factorization.

144241220344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751350528 (or 1751350524 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 144241220344120 its reverse (21443022142441), we get a palindrome (165684242486561).

The spelling of 144241220344120 in words is "one hundred forty-four trillion, two hundred forty-one billion, two hundred twenty million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 71 116 142 145 232 284 290 355 568 580 710 1160 1420 2059 2840 4118 8236 10295 16472 20590 41180 82360 1751350417 3502700834 7005401668 8756752085 14010803336 17513504170 35027008340 50789162093 70054016680 101578324186 124345879607 203156648372 248691759214 253945810465 406313296744 497383518428 507891620930 621729398035 994767036856 1015783241860 1243458796070 2031566483720 2486917592140 3606030508603 4973835184280 7212061017206 14424122034412 18030152543015 28848244068824 36060305086030 72120610172060 144241220344120