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142113024040020 = 223511364141591317
BaseRepresentation
bin100000010100000001000100…
…010100001101110001010100
3200122011212112222202111222120
4200110001010110031301110
5122111334433123240040
61222125453313255540
741635220134213605
oct4024010424156124
9618155488674876
10142113024040020
1141310882212170
1213b325582645b0
13613b27bb22457
142714442823dac
151166a44d037d0
hex81404450dc54

142113024040020 has 96 divisors (see below), whose sum is σ = 434092617818496. Its totient is φ = 34451489318400.

The previous prime is 142113024039911. The next prime is 142113024040027. The reversal of 142113024040020 is 20040420311241.

It is a super-2 number, since 2×1421130240400202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142113024040027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240037402 + ... + 240628718.

It is an arithmetic number, because the mean of its divisors is an integer number (4521798102276).

Almost surely, 2142113024040020 is an apocalyptic number.

142113024040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142113024040020 is an abundant number, since it is smaller than the sum of its proper divisors (291979593778476).

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

142113024040020 is a wasteful number, since it uses less digits than its factorization.

142113024040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955481 (or 955479 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 142113024040020 its reverse (20040420311241), we get a palindrome (162153444351261).

The spelling of 142113024040020 in words is "one hundred forty-two trillion, one hundred thirteen billion, twenty-four million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 364141 591317 728282 1092423 1182634 1456564 1773951 1820705 2184846 2365268 2956585 3547902 3641410 4005551 4369692 5462115 5913170 6504487 7095804 7282820 8011102 8869755 10924230 11826340 12016653 13008974 16022204 17739510 19513461 20027755 21848460 24033306 26017948 32522435 35479020 39026922 40055510 48066612 60083265 65044870 78053844 80111020 97567305 120166530 130089740 195134610 240333060 390269220 215322763697 430645527394 645968291091 861291054788 1076613818485 1291936582182 2153227636970 2368550400667 2583873164364 3229841455455 4306455273940 4737100801334 6459682910910 7105651202001 9474201602668 11842752003335 12919365821820 14211302404002 23685504006670 28422604808004 35528256010005 47371008013340 71056512020010 142113024040020