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142042141413100 = 22522843747766821
BaseRepresentation
bin100000010010111111000011…
…011000011100111011101100
3200121221002121001120222121001
4200102333003120130323230
5122104204301200204400
61222033131532450044
741630130451633615
oct4022770330347354
9617832531528531
10142042141413100
1141293808884465
1213b20875919924
136134693884c66
142710c3a8d4c0c
151164c96e98a6a
hex812fc361ceec

142042141413100 has 72 divisors (see below), whose sum is σ = 308385718019568. Its totient is φ = 56788425657600.

The previous prime is 142042141413071. The next prime is 142042141413101. The reversal of 142042141413100 is 1314141240241.

It is a happy number.

142042141413100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1420421414131002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142042141413101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2125677690 + ... + 2125744510.

It is an arithmetic number, because the mean of its divisors is an integer number (4283134972494).

Almost surely, 2142042141413100 is an apocalyptic number.

142042141413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142042141413100 is an abundant number, since it is smaller than the sum of its proper divisors (166343576606468).

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

142042141413100 is a wasteful number, since it uses less digits than its factorization.

142042141413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77155 (or 77148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 142042141413100 its reverse (1314141240241), we get a palindrome (143356282653341).

The spelling of 142042141413100 in words is "one hundred forty-two trillion, forty-two billion, one hundred forty-one million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2843 5686 7477 11372 14215 14954 28430 29908 37385 56860 66821 71075 74770 133642 142150 149540 186925 267284 284300 334105 373850 668210 747700 1336420 1670525 3341050 6682100 21257111 42514222 85028444 106285555 189972103 212571110 379944206 425142220 499620617 531427775 759888412 949860515 999241234 1062855550 1899721030 1998482468 2125711100 2498103085 3799442060 4749302575 4996206170 9498605150 9992412340 12490515425 18997210300 24981030850 49962061700 1420421414131 2840842828262 5681685656524 7102107070655 14204214141310 28408428282620 35510535353275 71021070706550 142042141413100