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520131000144042 = 23377379723650469
BaseRepresentation
bin111011001000011100110111…
…1100000000001000010101010
32112012122001000200220222102000
41312100321233200001002222
51021133311242014102132
65042120514403351430
7214362140030024640
oct16620715740010252
92465561020828360
10520131000144042
11140803355880a61
124a404a57682576
131942c1b1b09b51
14926269092b190
15401ec0330687c
hex1d90e6f8010aa

520131000144042 has 128 divisors (see below), whose sum is σ = 1340743252262400. Its totient is φ = 146389207177728.

The previous prime is 520131000144023. The next prime is 520131000144047. The reversal of 520131000144042 is 240441000131025.

520131000144042 is a `hidden beast` number, since 5 + 201 + 3 + 10 + 0 + 0 + 1 + 440 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 520131000143997 and 520131000144015.

It is not an unprimeable number, because it can be changed into a prime (520131000144047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10167184 + ... + 33817652.

It is an arithmetic number, because the mean of its divisors is an integer number (10474556658300).

Almost surely, 2520131000144042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520131000144042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670371626131200).

520131000144042 is an abundant number, since it is smaller than the sum of its proper divisors (820612252118358).

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

520131000144042 is a wasteful number, since it uses less digits than its factorization.

520131000144042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23651357 (or 23651351 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 520131000144042 its reverse (240441000131025), we get a palindrome (760572000275067).

The spelling of 520131000144042 in words is "five hundred twenty trillion, one hundred thirty-one billion, one hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 797 1022 1314 1533 1594 1971 2391 3066 3942 4599 4782 5579 7173 9198 11158 13797 14346 16737 21519 27594 33474 43038 50211 58181 100422 116362 150633 174543 301266 349086 407267 523629 814534 1047258 1221801 1570887 2443602 3141774 3665403 7330806 10996209 21992418 23650469 47300938 70951407 141902814 165553283 212854221 331106566 425708442 496659849 638562663 993319698 1277125326 1489979547 1726484237 2979959094 3452968474 4469938641 5179452711 8939877282 10358905422 12085389659 15538358133 18849423793 24170779318 31076716266 36256168977 37698847586 46615074399 56548271379 72512337954 93230148798 108768506931 113096542758 131945966551 169644814137 217537013862 263891933102 326305520793 339289628274 395837899653 508934442411 652611041586 791675799306 1017868884822 1187513698959 1376007936889 2375027397918 2752015873778 3562541096877 4128023810667 7125082193754 8256047621334 9632055558223 12384071432001 19264111116446 24768142864002 28896166674669 37152214296003 57792333349338 74304428592006 86688500024007 173377000048014 260065500072021 520131000144042