Search a number
-
+
142120243130140 = 225113146744622581
BaseRepresentation
bin100000010100000111110010…
…100110110110111100011100
3200122012120012002202021220201
4200110013302212312330130
5122111444224220131030
61222133045515353244
741635564053366562
oct4024076246667434
9618176162667821
10142120243130140
11413139471a8450
1213b33a31a52824
13613bb5c637902
1427149294d1a32
151166d189982ca
hex8141f29b6f1c

142120243130140 has 96 divisors (see below), whose sum is σ = 336806965168128. Its totient is φ = 49905893472000.

The previous prime is 142120243130083. The next prime is 142120243130161. The reversal of 142120243130140 is 41031342021241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 142120243130099 and 142120243130108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19126351 + ... + 25496230.

It is an arithmetic number, because the mean of its divisors is an integer number (3508405887168).

Almost surely, 2142120243130140 is an apocalyptic number.

142120243130140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142120243130140 is an abundant number, since it is smaller than the sum of its proper divisors (194686722037988).

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

142120243130140 is a wasteful number, since it uses less digits than its factorization.

142120243130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44623099 (or 44623097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 142120243130140 its reverse (41031342021241), we get a palindrome (183151585151381).

The spelling of 142120243130140 in words is "one hundred forty-two trillion, one hundred twenty billion, two hundred forty-three million, one hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 467 620 682 934 1364 1705 1868 2335 3410 4670 5137 6820 9340 10274 14477 20548 25685 28954 51370 57908 72385 102740 144770 159247 289540 318494 636988 796235 1592470 3184940 44622581 89245162 178490324 223112905 446225810 490848391 892451620 981696782 1383300011 1963393564 2454241955 2766600022 4908483910 5533200044 6916500055 9816967820 13833000110 15216300121 20838745327 27666000220 30432600242 41677490654 60865200484 76081500605 83354981308 104193726635 152163001210 208387453270 229226198597 304326002420 416774906540 458452397194 646001105137 916904794388 1146130992985 1292002210274 2292261985970 2584004420548 3230005525685 4584523971940 6460011051370 7106012156507 12920022102740 14212024313014 28424048626028 35530060782535 71060121565070 142120243130140